Can someone please solve these? Identify the segment bisect of XY. Then find XY

Can Someone Please Solve These? Identify The Segment Bisect Of XY. Then Find XY

Answers

Answer 1

The length of the line segment XY which was bisected at point M is;

1) 32

2) 6

How to solve division of line segments?

1) From the given line segments, it is clear that XM is congruent to YM since M bisects XY. Thus;

XM = YM and XM + YM = XY

We are given that;

XM = 3x + 1

YM = 8x - 24

Thus;

3x + 1 = 8x - 24

8x - 3x = 1 + 24

5x = 25

x = 25/5

x = 5

Thus;

XM = 3(5) + 1 = 16

YM = 8(5) - 24 = 16

XY = 16 + 16 = 32

2) From the given line segments, it is clear that XM is congruent to YM since M bisects XY. Thus;

XM = YM and XM + YM = XY

We are given that;

XM = 5x + 8

YM = 9x + 12

Thus;

5x + 8 = 9x + 12

9x - 5x = 8 - 12

4x = -4

x = -1

XM = 5(-1) + 8 = 3

YM = 9(-1) + 12 = 3

XY = 6

Read more about division of line segments at; https://brainly.com/question/17374569

#SPJ1


Related Questions

Write equations for the horizontal and vertical lines passing through the point (1,8)

Answers

Answer:

Vertical: x = 1

Horiz: y = 8

Step-by-step explanation:

The equation of a

vertical line is always:

x = anumber

The equation of a horizontal line is in the form:

y = anumber

In the question a point is given, the point (1,8) is in the form (x,y) So x is 1 and y is 8.

We can fill in this given information to complete the equations.

Vertical: x = 1

Horizontal: y = 8

In Exercises 1-16, solve the inequality. Graph the solution
1. 3y ≤ -9

Answers

By solving the inequality we get [tex]y\leq -3[/tex]

What is graphing the inequality?

The act of illustrating which area of the number line contains values that will "satisfy" the specified inequality is known as graphing the inequality. Take a look at the first inequality, "x > -5." The numbers that can be used to substitute x in our inequality to produce a true statement can be shown on a graph of our inequality.

[tex]3y\leq -9[/tex]

Dividing above equation by 3 we get,

[tex]\frac{3y}{3}\leq \frac{-9}{3}\\y\leq -3[/tex]

Graph of [tex]y\leq -3[/tex] is

Therefore by solving the inequality we get [tex]y\leq -3[/tex]

To learn more about graphing the inequality from the given link

https://brainly.com/question/24372553

#SPJ1

Natalie works as a playground supervisor for 8 weeks during the summer at a rate of
$15.27/h. She works a 40-hour week but averages 3 hours of overtime each week,
paid at time and a half. How much will she earn each week, and for the whole
summer?

Answers

Natalie will be paid $656.61 for a week and for summer $10505.76.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Natalie earns $15.27 per hour while working as a playground supervisor for 8 weeks throughout the summer. Although she works a 40-hour week, she typically puts in 3 hours of overtime.

For a week = ( 40 + 3 ) x 15.27 = $656.61

For a summer = 4 x 4 = 16 weeks

For a summer = 16 x $656.61 = $10505.76

Therefore, Natalie will be paid $656.61 for a week and for summer $10505.76.

To know more about an expression follow

https://brainly.com/question/19559844

#SPJ1

please help
please good graph​

Answers

You can see the graphs in the attached image. The order is the same as on page. Note that 7. and 8. give us an infinite number of solutions, and no solutions, respectively.

Points P, Q, R, and S are collinear Point Q is between P and R, R is between Q and S, and PQ congruent RS. If PS=23 and PR= 18, what is the value of QR?

Answers

The value of QR when points P, Q, R and S are collinear is .13

We are given that:

Points P, Q, R and S are collinear points.

Also,

PS = 23

PR = 18

We need to find the value for QR.

Now, we have that PQ is congruent to RS.

So, This means that PQ = RS

This can also be written as:

PR - QR = RS

18 - QR = RS

Also,

PR + RS = PS

Substituting the values, we get that:

18 + ( 18 - QR ) = 23

18 - QR = 23 - 18

18 - QR = 5

QR = 18 - 5

QR = 13

Therefore, we get that, the value of QR when points P, Q, R and S are collinear is .13

Learn more about collinearity here:

https://brainly.com/question/1655368

#SPJ9

Y=-3x+6 and y=1/3x-8 determine if the equation are parallel, perpendicular, or neither

Answers

Answer:8

Step-by-step explanation:

1

Which expression has a value of -5?
A: (-3) -8
B: (-8) - (-3)
C:(-3) - (-8)
D: 8-(-3)

Answers

Answer is B: (-8) - (-3)

Reason

When subtracting a negative, we know two negatives become a positive

-8
+3
____
-5

does someone mind helping me with this? Thank you!

Answers

Answer:

32

Step-by-step explanation:

Sorry for not neat explanation but i hope u understand

Answer:

32?

Step-by-step explanation:

when i did it with a Pythagorean theorem calculator i got 32

m ebd = 29 bc bisects abd and be bisects cbd find m abc

Answers

We can conclude that in the question, angle m∠ABC = 58°.

What are angles?When two straight lines or rays intersect at a common endpoint, an angle is formed. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner." Angles in geometry are classified according to their measurement. Acute angle, Obtuse angle, Right angle, Straight angle, reflex angle, and full rotation are the names of basic angles.

So,

∠EBD is 29° and line EB bisects ∠CBD.

Then, ∠CBD = ∠CBE + ∠EBD∠CBD = 29 + 29 = 58°

Similarly, ∠CBD = 58° and line CB bisects ∠ABD

Then, ∠ABD = ∠ABC + ∠CBD ∠ABD = 58 + 58 = 116°

Hence, ∠ABC = 58° as ∠CBD is also 58° because common line BC bisects the angle ∠ABD.

Therefore, angle m ∠ABD = 58°.

Know more about angles here:

https://brainly.com/question/25716982

#SPJ9

Ana has 8 stamps. Together, Ricky and ana have 23 stamps. The equation 23 = r + 8 represents this situation,where r is the number of stamps Ricky has. Solve the equation to find the number of stamps ricky has

Answers

Ricky has the number of stamps in the number of 15 stamps.

According to the question, the given parameters can be used to form the expression by using simplification method and the parameters are as follows:

Stamps for Ana: 8

Stamps for Ricky and Ana: 23

Given equation: 23 = r + 8

The equation formed by the simplification method is:  r + a = 23

Solving above two equations, we get a = 8 stamps and r = 15 stamps.

Hence, Ricky has the number of stamps in the number of 15 stamps.

What is simplification?

The word simplification is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

To learn more about the simplification in fraction from the given link:

brainly.com/question/432678

#SPJ1

Find the area


(Simplify your answer)

Answers

Answer:

why isnt there a backround base? it wouldnt be area if isnt so

Step-by-step explanation:

The area is 960 m

because 48*15=720

and 10*24=240

720+240= 960

Find the slope of the line passing through the
points (-3, 3) and (5, 9)

Answers

Answer: 3/4

Step-by-step explanation:

The slope of the line passing through the points (-3,3) and (5,9) is 3/4

The formula for calculating the slope of a line is expressed as:

Given the coordinate (-3,3) and (5,9), substitute the coordinates into the formula as shown below;

Hence the slope of the line passing through the points (-3,3) and (5,9) is 3/4

Simplify the expression. Write your answers using integers or improper fractions.

− 3/2(1/2 n+2n−3)+4n

Answers

The expression is simplified to n - 16/ 4

What are algebraic expressions?

Algebraic expressions are expressions comprising of terms, variables, factors, constants and coefficients.

They are also made up of mathematical operations such as addition, subtraction, multiplication, division, bracket, etc.

Given the expression;

− 3/2(1/2 n+2n−3)+4n

Solve the variables in the bracket, we have;

- 3/ 2 {   n + 4n - 6 / 2} + 4n

-3/2 { 5n - 6/ 2 } + 4n

expand the bracket

- 15n - 18/ 4 + 4n

Fin the LCM

-15n - 16 + 16n  /4

n - 16/ 4

Thus, the expression is simplified to n - 16/ 4

Learn more about algebraic expressions here:

https://brainly.com/question/4541471

#SPJ1

Points that are on the same line are collinear. Use the definition of slope to determine whether the given points are collinear.Prove that the triangle with vertices (3,5),(-2,6) , and (1,3) is a right triangle.

Answers

Using the definition of slope, the triangle with vertices (3 , 5), (-2 , 6), and (1 , 3) is a right triangle.

The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.

m = (y2 - y1)/(x2 - x1)

To prove that the triangle with vertices (3 , 5), (-2 , 6), and (1 , 3) is a right triangle, there should be a pair of adjacent lines perpendicular with each other(forms 90 degree angle). The slope of this pair of adjacent lines must be negative reciprocal of one another.

let A = (3 , 5)

B = (-2 , 6)

C = (1 , 3)

Determine the slope of each line of the triangle: AB, BC, AC.

AB : m = (6 - 5)/(-2 - 3) = 1/-5 = -1/5

BC : m = (3 - 6)/(1 - -2) = -3/3 = -1

AC : m = (3 - 5)/(1 - 3) = -2/-2 = 1

-1 is the negative reciprocal of 1. The slope of BC is the negative reciprocal of the slope of AC, hence, side BC is perpendicular with each other.

Therefore, the triangle with vertices (3 , 5), (-2 , 6), and (1 , 3) is a right triangle.

Learn more about slope here: brainly.com/question/16949303

#SPJ4

help please
The cost of having a window fixed is $125 plus $25 per hour of labor. Using h for the number of hours of labor, write an expression that represents the total cost.
25 + 125h
125 + 25h
150h
125+25 over h

Answers

I believe the answer would be Y=125+25(h

Answer: 125 + 25h

Step-by-step explanation:

The total amount of money is the cost of the window plus the amount of hours.


Is the distance from the center of a circle to a point in the interior of a circle sometimes, always, or never less than the radius of the circle? Explain.

Answers

The distance from the center of a circle to a point in the interior of a circle is always less than radius of the circle.

It is given that there is a point inside the circle.

We have to find that whether its distance from center of circle is sometimes, always, or never less than the radius of the circle.

What is the radius of a circle ?

The distance between the center of a circle and any point on the circle is called the radius of circle.

We know that ;

Radius is the distance between the center of a circle and any point on the circle.

Let's assume three points which are A, B, and C, where A is a point inside circle, B is a point on circle, and C is a point outside circle.

Also ;

O is the center of circle.

So ;

OA = the length of the line from center to point inside the circle.

OB = radius of the circle.

OC = the length of the line from center to the point outside the circle.

So ;

We can conclude that ;

OA<OB<OC.

or

The length of the line from the center of a circle to any point inside the circle will be always less than it's radius.

Thus , the distance from the center of a circle to a point in the interior of a circle is always less than radius of the circle.

To learn more about circle click here ;

https://brainly.com/question/28179860

#SPJ4

A surveyor needs to find the distance from point A to point B across a canyon. She places a stake at A, and a coworker places a stake at B on the other side of the canyon. The surveyor then locates C on the same side of the canyon as A such that CA ⊥ AB. A fourth stake is placed at E, the midpoint of CA. Finally, a stake is placed at D such that CD ⊥ CA and D,E, and B are sited as lying along the same line.
b. If A C=1300 meters, D C=550 meters, and D E=851.5 meters, what is AB? Explain your reasoning.

Answers

The value of line AB is 550 meters.

What do we presume by the congruency of a triangle?Two triangles are said to be congruent if all three corresponding sides and angles are equal in size.To appear identical, these triangles can be moved, rotated, flipped, and turned.They will coincide if they are moved.Congruence exists when two triangles satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).

So,

First, we'll prove that △BEA ≅ △DEC.

∠A = ∠C = (BA and CD is ⊥ AC)AE = CE = (E is the midpoint of AC)∠AEB = ∠DEC = (Inversely opposite angles)

So, △BEA ≅ △DEC is under ASA condition.

Then, DC is identical to AB.

Therefore, the value of AB is 550 meters.

Know more about the congruency of a triangle here:

brainly.com/question/2938476

#SPJ4

Help Please
A woman has a total of $9,000to invest. She invests part of the money in an account that pays 7%per year and the rest in an account that pays 9%per year. If the interest earned in the first year is $710, how much did she invest in each account? She invested $ ____at 7%and $_____at 9%.

Answers

Answer:

5000.00 gives us 350

4000.00 gives us 360

Solve by completing the square. Express answer in a simplified radical form when possible. When not possible, round to nearest hundredth.
x^2+6x+2=0

Answers

Answer:

[tex]{ \tt{ {x}^{2} + 6x + 2 = 0}} \\ { \tt{ {x}^{2} + 6x = - 2 }}[/tex]

- Add the square of the half of the sum on either sides:

[tex]{ \tt{ {x}^{2} + 6x + ( { \frac{6}{2}) }^{2} = - 2 + {( \frac{6}{2}) }^{2} }} \\ \\ { \tt{ {x}^{2} + 6x + 9 = - 2 + 9}} \\ { \tt{ {(x + 3)}^{2} = 7}} \\ { \tt{x + 3 = \sqrt{7} }} \\ { \tt{x = - 3 \pm2.648}} \\ { \tt{x = ( - 3 \pm \sqrt{7} )}}[/tex]

Caroline rewrote a quadratic equation in vertex form by completing the square, but her work has errors.
f(x)
-2x² + 12x15
-2(x² - 6x) — 15
-2(x² - 6x + 9) - 9 - 15
-2(x - 3)²9 - 15
-2(x - 3)² - 24
Identify the first error in her work.

Answers

The required error in Caroline's quadratic equation in vertex form by completing the square is -2(x² - 6x + 9) - 9 - 15 is should be -18 in place of -9.

Given that,
To figure out the error made by Caroline in the calculation of a quadratic equation in vertex form by completing the square.

His calculation,
= -2x² + 12x - 15

= -2(x² - 6x) — 15

= -2(x² - 6x + 9) - 9 - 15-2(x - 3)²9 - 15
= -2(x - 3)² - 24


Correct calculation,
= -2x² + 12x - 15
= -2(x² - 6x) - 15

= -2(x² - 6x + 9) - 18 - 15
= -2(x - 3)² - 18 - 15
= -2(x - 3)² - 33

Thus, the required error in Caroline's quadratic equation in vertex form by completing the square is -2(x² - 6x + 9) - 9 - 15 is should be -18 in place of -9.

Learn more about simplification here:
https://brainly.com/question/12501526

#SPJ1


Jared has completed a controlled scientific experiment in which he found a strong
positive correlation between hours of daylight and pea plant growth. He calculates that
the correlation coefficient is 0.93. Does Jared's experiment suggest that sunlight causes
pea plant growth? Why or why not?
OYes; if the correlation coefficient is close to 1, then there is a cause-and-effect relationship.
Yes; finding a strong correlation in a controlled scientific experiment suggests a cause-and-effect
relationship.
O No; cause-and-effect relationships always have a correlation coefficient of 1 or -1.
No; cause-and-effect relationships can be established only by collecting observations from
nature, not from a controlled experiment.

Answers

In Jared's experiment, we can conclude that; No, cause-and-effect relationships can be established only by collecting observations from

nature, not from a controlled experiment.

How to Interpret Correlation Coefficient?

The correlation coefficient is simply the specific measure that quantifies the strength of the linear relationship between two variables in a correlation analysis. It varies from -1 to 1.

Now, we are told that the correlation coefficient is 0.93. This means that it is close to 1. Now, we know that when the correlation coefficient is near 1 or −1, the linear relationship is strong; when it is near 0, the linear relationship is weak.

We also know that correlational studies allow researchers to detect the presence and strength of a relationship between variables, while experimental studies allow researchers to look for cause and effect relationships.

Thus, in Jared's experiment, we can conclude that; No, sunlight doesn't cause pea plant growth because  cause-and-effect relationships can be established only by collecting observations from

nature, not from a controlled experiment.

Read more about Correlation Coefficient at; https://brainly.com/question/28196194

#SPJ1

please help!!!!!!!!!!!!!! show your work and try to have the right answer

Answers

Answer:

Step-by-step explanation:

determine whether the following graph represents a function

1. one to one function
2. Not a function
3. Function, but not one to one

Answers

Answer:

3. function, but not one to one

Step-by-step explanation:

If you do a vertical line test anywhere you draw a vertical line will only hit in one spot

If you do a horizontal line test to check If the line is one to one it hits in multiple spots therefore the line that is graphed is a function but not one to one

when slolved please show steps.

Answers

The expression for h in the information illustrated will be h = 2r.

How to illustrate the information?

It should be noted that the expression is given as:

2πr³ = πr²h

In this situation, the information is that we should make h the subject of the formula.

This will be:

2πr³ = πr²h

Divide both side by πr²

2πr³/πr² = πr²h/πr²

2r = h

Therefore h = 2r

Learn more about expressions on:

brainly.com/question/25968875

#SPJ1


State whether each sentence is true or false. If false, replace the underlined word or phrase to make a true sentence.
An equilateral triangle is always equiangular.

Answers

The given sentence about equilateral triangle is true.

A statement is given in the question.

We have to tell whether the statement is true or false.

What is an equilateral triangle ?

An equilateral triangle is a triangle in which all sides and all angles are equal.

As per the question ;

The statement given is , "An equilateral triangle is always equiangular."

Let's check whether it is true or false ;

We know that ,

Equiangular meant equal angles and we know that all the angles of equilateral triangle are equal.

Also ;

An equilateral triangle can also said as an isosceles triangle, that meant any two sides that are equal have equal opposite angles.

So ;

All three sides of an equilateral triangle are equal, all three angles are equal, too. We can conclude that every equilateral triangle is also equiangular.

Thus , the given statement about equilateral triangle is true.

To learn more about equilateral triangles click here ;

https://brainly.com/question/22762684

#SPJ4

Your phone is losing charge at a rate of 2%every 7 minutes. You check and see that you have 44% left. Write the function of total charge left where x is in minutes. Find the y-intercept, x-intercept and slope.

Answers

The y-intercept, x-intercept and slope are 100, 350 and 2 / 7, respectively.

How to describe the linear equation describing the discharge of a phone

In accordance with the statement, the phone charge decreases linearly in time based on the following linear model:

c(x) = 100 - (Δy / Δx) · x

Where:

c(t) - Current charge of the cell phone, in percentage.Δc - Current charge change, in percentage.Δx - Time change, in minutes.x - Time, in minutes.

If we know that Δy = 2, Δx = 7, then the linear equation is:

c(x) = 100 - (2 / 7) · x

Then, the y-intercept, x-intercept and slope are, respectively:

y-intercept

b = 100

x-intercept

0 = 100 - (2 / 7) · x

(2 / 7) · x = 100

2 · x = 700

x = 350

Slope

m = 2 / 7

The y-intercept, x-intercept and slope are 100, 350 and 2 / 7, respectively.

To learn more on linear equations: https://brainly.com/question/13738061

#SPJ1

Write the equation of the line that is perpendicular to x + 4y = 12 and passes through the point (-8, 5) in slope-intercept form.
y = mx + b

m=
b=​

Answers

The equation of the line is: y = 4x + 37

m = 4

b = 37

How to Write the Equation of a Line in Slope-intercept Form?

The equation of the line that is perpendicular to x + 4y = 12, will have a slope that is the negative reciprocal of the its slope.

Rewrite the equation, x + 4y = 12 in slope-intercept form:

4y = -x + 12

y = -x/4 + 3

The slope is -1/4. Therefore, the slope of the perpendicular line would be 4.

Substitute m = 4 and (a, b) = (-8, 5) into y - b = m(x - a)

y - 5 = 4(x - (-8))

y - 5 = 4x + 32

y = 4x + 32 + 5

y = 4x + 37

The equation of the line is: y = 4x + 37

m = 4

b = 37

Learn more about the equation of a line on:

https://brainly.com/question/13763238

#SPJ1

Given g(x)=-2x^(2)+1, find the indicated values. g(0)

Answers

Answer:

[tex]g(x) = 2 {x}^{2} + 1 \\ g(0) = 2 ({0})^{2} + 1 \\ = 2(0) + 1 \\ = 1[/tex]


Use your results from Exercise 13 to determine whether the given measures define 0,1, 2, or infinitely many obtuse triangles. Justify your answers.
a=13, b=17, m

Answers

When two sides are provided without an angle measurement, such as a = 13m and b = 17m , we can create an infinite number of obtuse triangles.

As an example:

How many different obtuse triangles can we make if our side lengths are 13m and 17m, and our angle value ranges from 90 to 360 degrees?

Make a triangle with sides of 13m and 17m metres, a 120 degree angle, and a third side that can be protractored to the length you desire. You've constructed a triangle.

We may create a whole different triangle that is identical to this one by altering the third side's length and angle.

You must always remember to select the side lengths and angles. It's hinted that you could choose another course of action. There are an infinite amount of distinct triangles that can be created by using the same angles.

Thus, we can make an infinite number of triangles by employing a single angle and a single side length.

To learn more about, Triangles here

brainly.com/question/2773823

#SPJ4



Find two numbers whose sum is 52 and whose product is as large as possible? [Hint: Let x and 52-x be the two positive numbers. Their product can be
described by the function f(x)=x(52-x).]?

Answers

The two numbers whose sum is 52 and the product is maximum are 26 and 26.

How to find the sum of algebraic fractions?

Finding the least common multiples of the denominator expressions can help. Then using the similar method as we use in the sum of fractions would give the sum of algebraic fractions.

We need to find the two numbers whose sum is 52 and the product is maximum.

So, the multiples of 52 are

2, 26, 4, 13,

So, here we can see that the sum of 26 to itself would be equal to 52.

26 + 26 = 52

The product is also maximum compared to others.

26 x 26 = 676

Therefore, the two numbers are 26 and 26.

Learn more about numbers;

brainly.com/question/16800259

#SPJ1

Other Questions
The principle in behavioral science that researchers should seek the simplest psychical explanation for observed variation in animal behavior is now known as:__________ Message instructor about this question-Match each part of the explicit formula relating the term values and term positions in an arithmetic sequence with the best description of what itrepresents.Note that you might use some choices more than once and might not use all choices.ar+d(n-1)11Submita. the change in the term value when the position changes from the first term to the nth termb. the change in the term value when the position changes by 1c. the value of the term ad. the value of the term at position ne, the value of the term 0-1f. the position of the term ang. the change in the term position from the first term to the nth Imani hosts a party, preparing a turkey with several side dishes. Imanis guests eat until they are stuffed but there is still plenty of food on the table. Even though the party will last until the early hours of the morning, when should Imani wrap and put away the leftovers?A. after everyone heads homeB. within two hours of servingC. once dessert is servedD. the morning after the party Given the equation y = 3x + 7, which word(s) best describes the 3? Select all that apply.*A. slopeB. y-interceptC. x-interceptD. coefficientE. constant EL analfabetismo segun autoresayuda por favor Scott+stratton+recently+purchased+a+car+for+$22,500.+it+will+depreciate+at+a+rate+of+7%+per+year.+what+will+his+car+be+worth+in+5+years+when+it+is+paid+off? Which statement best describes how perspective of the bird changes in the story the bird the mouse and the sausage from the beginning to the end of the story? Believing that he was in a good situation to feeling taken advantage of Expressing bitterness about doing all the work to realizing how good he had it with the mouse and the sausage Feeling contented with his friends to feeling lonely and unhappy Feeling pride in his hard work to feeling able to do everyone's job How might we describe the change in style in this chapter and what might that change in style signify? Fully explain your answer. What's the difference between Active And Passive note taking approach During a person's commute to school, she spends 12 minutes driving 35 mph and 3 minutes stopped at red lights. What is the person's averagespeed during her commute?Step 1 of 2: First, find the distance of her commute. A manufacturer of household items has total revenue given by the function R=16.5x and has total cost given by C=14x+400, wherex is the number of items produced and sold. Use graphical methods to find the number of units at which the manufacturer will breakeven for the product.The number of units that gives break even for the product is(Simplify your answer.) In right AABC with mzC-90, mzB-75, and AB = 12 cm. Find the areaof AABC. A sociologist defines society as a group of people who reside in a defined area, share a culture, and who:________ Evaluate the expression when a= -6 and c=4 -c +6a Determine whether the equation below has a one solution no solution or an infinite number of solutions afterwords determine two values of X I support your conclusion X -2 equals -2+ X (x-5)/3=21 What is equal to x 41Megumi goes to the doctor, complaining of fatigue. The doctor examines her and asks if she has experienced heart palpitations, muscle cramps, or tingling in her hands and feet. She denies any of these symptoms. A blood test determines that Megumis magnesium reading is not right. Considering her symptoms, which is MOST likely true of Megumi?A. Megumi has a magnesium inadequacy.B. Megumi has a magnesium deficiency.C. Megumi has a magnesium excess.D. Megumi has a magnesium balance. 1. Find a rule for the following table. Write your rule as asentence relating the input and the output.Rule:CInputOOutput592939119No output39 (a) Identify and explain ONE perspective the British had about colonial involvement in the war. Explain what reaction time has to do with freefall: