Please help. 10 points.

Answer:

slope = - [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, - 3 ) and (x₂, y₂ ) = (- 2, 7 )

m = [tex]\frac{7-(-3)}{-2-6}[/tex] = [tex]\frac{7+3}{-8}[/tex] = [tex]\frac{10}{-8}[/tex] = - [tex]\frac{5}{4}[/tex]

The slope of a line that passes through the points (6,-3),(-2,7) is -5/4.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope of a line that passes through the points (6,-3),(-2,7):

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = (7+3)/(-2-6)

m = -10/8

m = -5/4

Therefore, the slope is -5/4.

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

As we have divided the denominator by 5, we must also divide the numerator by 5. 10 dog treats divided by 5 beagles gives us 2 dog treats per Beagle. So our Unit Rate is Unit Rate of Dog Treats per beagle is = 2:1 2:1 is a direct ratio of 10:5, they are in fact equivalent ratios.

Answer:

2:1

Step-by-step explanation:

10/5 is equal to 2/1 simplified. Therefore the simplified ratio of 10/5 is 2:1

When he is halfway to the first base, the distance between the second base and the distance is decreasing at the rate of about 10.73 ft/s.

The length of the side of the base is 90 ft. Its speed is 24 ft/s.

Let x = distance he has run at time t and

D = distance from second base at time t, then speed dx/dt = 24 and we calculate dD/dt where x = 45.

From Pythagorean Theorem,

[tex]D^{2} =(90-x)^{2} +90^{2}[/tex] ,

differentiating with respect to t

2D*dD/dt = 2 (90 − x) (−1) dx/dt + 0

D*dD/dt = − (90 − x)dx/dt

Now, when x = 45,

D =[tex]\sqrt{(90-45)^{2}+90^{2} }[/tex]

[tex]=\sqrt{45^{2}+90^{2} }[/tex]

by substituting D we get,

[tex]\sqrt{45^{2}+90^{2} }[/tex]dD/dt = − (90 − 45) · 24

dD/dt = −45 · 24/[tex]\sqrt{45^{2}+90^{2} }[/tex]

= −10.73 ft/s

Hence, when he is halfway to the first base, the distance between the second base and the distance is decreasing at the rate of about 10.73 ft/s.

To know more about the rate of measure:

https://brainly.com/question/13576064

#SPJ4

A model to show [tex]\frac{9}{8}[/tex] is given below.

What is an improper fraction?

When the numerator of a fraction is more than or equal to the denominator, the fraction is said to be improper. The number at the top is the numerator, and the number at the bottom is the denominator.

Given, improper fraction = [tex]\frac{9}{8}[/tex]

Now, convert the given improper fraction into a mixed fraction

i.e.  [tex]\frac{9}{8} = 1\frac{1}{8}[/tex] ( mixed fraction)

That we can write [tex]1\frac{1}{8} = 1 + \frac{1}{8}[/tex]

The model to show [tex]\frac{9}{8}[/tex] is given below:

To learn more about improper fractions

https://brainly.com/question/387381

#SPJ1

Yes, the electron pair repulsion determines the molecular shape, we can use  VSEPR to find out how.

What is VSEPR theory?

The amount of valence electron pairs present in the outermost shell is used by the valence shell electron repulsion theory (VSEPR) to predict the structure of molecules.

The number of valence shell electron bond pairs between atoms in a molecule is used in the valence shell electron repulsion theory (VSEPR), a model for predicting 3D molecular form.

VSEPR theory predicts that BeF2 should be a linear molecule, with a 180o angle between the two Be-F bonds.

The VSEPR theory, therefore, predicts a trigonal planar geometry for the BF3 molecule, with an F-B-F bond angle of 120o.

we can predict that a tetrahedral molecule in which the H-C-H bond angle is 109o28'.

Hence we can predict the molecular shape, using VSEPR theory.

Learn more about VSEPR theory here:

https://brainly.com/question/18905754

#SPJ4

Option 3 is the solution. The direct variation in this question is gotten from the option where we have the input x: 4 6 8, output y: 6 9 12

In mathematics, the direct variation in the form that is

y = kx

To define the term k, k is the constant of proportionality.

The equation is written and interpreted as y is directly to x. At option 3,

y = kx

when y = 6 and x = 4, we would have 6 = 4k.

then k = 6/4

= 1.5

To confirm, we have to put the input values to see if they correspond with their y values.

1.5 x 6 = 9

1.5 x 8 = 12

Hence option 3.

Read more on direct variation here: https://brainly.com/question/6499629

#SPJ1

Answer:

x is -3

Once the expression has equal bases, it is a bit easier

Answer:

Random assignment is necessary for internal validity, whereas random assignment is necessary for external validity

Step-by-step explanation:

Answer:

x ≈ 28.3

Step-by-step explanation:

using the cosine ratio in the right triangle

cos45°= [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{40}[/tex] ( multiply both sides by 40 )

40 × cos45° = x , then

x ≈ 28.3 ( to the nearest tenth )

Answer:

-x^2+2x-8

Step-by-step explanation:

6x^2+2x-8-7x^2 Different features used to show like terms

Simplify =

-x^2+2x-8

Answer: $25

Step-by-step explanation:

Add 10 and 15 to get 25

Answer:

[tex]\textsf{D)} \quad y =-\dfrac{1}{3}x+7[/tex]

Step-by-step explanation:

The line of best fit of a scatter plot is a straight line that represents the general trend or pattern. It should pass as close as possible to the majority of the data points, minimizing the overall distance between the line and the points.

From observation of the given scatter plot, the line shows a negative association. Therefore, the slope of the line is negative. This means we can immediately discount the equations with positive slopes.

If we plot the line with the slope -2/3 (attachment 1 - blue line), we can see that the line passes through the first point, then has 3 points above the line but only 1 point below it.  The distance between point (6, 7) and the line is much greater than the distance between the line and the other points.

If we plot the line with the slope -1/3 (attachment 2 - red line), we can see that the line passes as close as possible to the majority of the data points, and minimizes the overall distance between the line and the points.

Therefore, the equation that is the best model for the line of best fit for the data is:

[tex]y =-\dfrac{1}{3}x+7[/tex]

theorem of sines answer: A

A viable method of numeration that contained zero and allowed for the solution of equations was developed by Muslim academics, who also used logic to establish mathematical ideas and relationships.

The current arithmetic decimal system and the basic operations associated with it—addition, subtraction, multiplication, division, raising to a power, and extracting the square root and cubic root—were created by Muslim mathematicians.

The Indian numeral system, which is now known as Arabic numerals, was swiftly adopted by Islamic mathematicians. The development of algebra, the use of decimals, mathematical induction, and trigonometry were among the further contributions.

The Arabic translation of mathematical, medicinal, and astronomical writings from their original languages is one of the Islamic world's greatest contributions to contemporary science.

Learn more about contribution of scholars here;

https://brainly.com/question/28920999

#SPJ4

The volume of the sphere whose radius is 3 as represented in the task content above is; 113.04 units³.

It follows from the task content that the volume of the sphere which is as represented in the task content is to be determined.

Recall from geometry of solid shapes (3 - dimensional shapes), the volume of a sphere is given by the formula;

V = (4/3) π r³

where r = radius = 3.

Therefore, Volume, V of the sphere is;

V = (4/3) × 3.14 × 3³

V = 113.04 units³.

On this note, the volume of the sphere as described is; 113.04 units³.

Read more on volume of a sphere;

https://brainly.com/question/1626573

#SPJ1

Tracking is the practice of testing students and using the results to place them in specific classes (such as remedial, advanced, college prep, etc.).

hence,Tracking is the practice of testing students and using the results to place them in specific classes (such as remedial, advanced, college prep, etc.).

learn more about tracking click here:

https://brainly.com/question/29227044

#SPJ4

A class is made up of 6 boys and 14 girls. half of the boys wear glasses. a student is selected at random from the class.

0.2% probability that the student is a boy with glasses.

In order to calculate a probability we first need to know the total possible outcomes, so the total is boys plus the girls, 6+14=20, we have a total of 20 students, and we need the total number of successful outcomes, which is half of the girls, 4 girls use glasses.

So the probability is:

[tex]Probability = \frac{Successful Outcomes}{Total Possible outcomes}[/tex]

[tex]Probability = \frac{4}{20} \\\\Probability = \frac{1}{5} \\\\Probability = 0.2[/tex]

So the probability is 0.2% that if you pick a student at random you will pick a girl with glasses.

Hence the answer is 0.2% probability that the student is a boy with glasses.

To learn more about probability click here https://brainly.com/question/24756209

#SPJ4

The value of x found after solving the equation using algebra tiles is -3.

What is algebra tiles?

Algebra tiles are mathematical manipulatives that help students comprehend the principles of algebra and strategies to think algebraically. For introductory algebra pupils at the level of elementary school, middle school, high school, and college, these tiles have demonstrated to offer solid examples.

Solving the equation for value of x

−x + (−3) = x + 3              

-x -3 = x + 3                  

subtracting x from both sides

(-x -3) -x = (x + 3) -x

-2x -3 = 3                      

Adding 3 to both sides

-2x -3 + 3 = 3 + 3

-2x = 6

Dividing by 2 both side.

x = -3

Therefore the value of x = -3

To know more about algebra tiles, go to link

https://brainly.com/question/11282065

#SPJ1

Answer:

-3

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

The solution to equation (x+3)² - 5 = 0 is x = -3 +√5 and x = -3 - √5. The solution to equation (2x+1)(x-5)=0 is x = -1/2 and x = 5.

The quadratic function is defined as a function containing the highest power of a variable is two.

To determine the solution to equation (x+3)² - 5 = 0

(x+3)² - 5 = 0

x² + 9 + 6x - 5= 0

x²+  6x + 4 = 0

Using the quadratic formula to solve the above quadratic function

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{-6\pm \sqrt{6^2-4\cdot \:1\cdot \:4}}{2\cdot \:1}[/tex]

[tex]\sqrt{6^2-4\cdot \:1\cdot \:4}[/tex] = 2√5

x = -6± 2√5 / 2

x = -3± √5

x = -3 +√5 and x = -3 - √5

To determine the solution to equation (2x+1)(x-5)=0

(2x+1)(x-5)=0

(2x+1) = 0 and (x-5)=0

2x = -1 and x = 5

x = -1/2 and x = 5

Thus, the solution to equation (x+3)² - 5 = 0 is x = -3 +√5 and x = -3 - √5. The solution to equation (2x+1)(x-5)=0 is x = -1/2 and x = 5.

Learn more about quadratic function here:

brainly.com/question/14083225

#SPJ1

By using the concept of exponent, the result is-

The correct option is the third option

6 over 7 times 6 over 7 equals 36 over 49

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In [tex]2^4 = 2 \times 2 \times 2 \times 2[/tex]

Here, 2 is multiplied by itself 4 times.

If [tex]a^m = a \times a \times a \times.... \times a[/tex] (m times), a is the base and m is the index.

The laws of index are

[tex]a^m \times a^n = a^{m + n}[/tex]

[tex]a^m \div a^n = a^{m - n}[/tex]

[tex]a^0 = 1[/tex]

[tex](a^m)^n = a^{mn}[/tex]

[tex](\frac{a}{b})^m = \frac{a^m}{b^m}[/tex]

[tex]a^{-m} = \frac{1}{a^m}[/tex]

Here, the given exponent is [tex](\frac{6}{7})^2[/tex]

[tex](\frac{6}{7})^2 \\\\= \frac{6}{7}\times \frac{6}{7}\\\= \frac{36}{49}[/tex]

[tex]= \frac{36}{49}[/tex]

So the correct option is the third option

6 over 7 times 6 over 7 equals 36 over 49

To learn more about exponent, refer to the link:

https://brainly.com/question/11975096

#SPJ9

Complete Question

Which of the following shows the correct evaluation for the exponential expression 6 over 7 to the power of 2?

6 over 7 plus 2 equals 2 and 6 over 7

6 over 7 times 2 equals 12 over 7 which equals 1 and 5 over 7

6 over 7 times 6 over 7 equals 36 over 49

6 over 7 divided by 2 equals 6 over 14

According to the given synthetic table, the quotient is 5x³ - 5x² + 3x + 2 and remainder is 1.

Synthetic table:

Basically, the shortcut for polynomial division when the divisor is of the form x – a. And only numeric coefficients of the dividend are used when dividing with synthetic division.

Given,

Here we have the synthetic table.

Now, we have to solve this one.

In order to find the quotient and remainder, we have to do the following steps:

Step-1 : Write down the first coefficient 5

Step-2 : Multiply our root -3 by our last result 5 to get -15 [ (-3) × 5=-15 ]

Step-3 : Add new result -15 to the next coefficient of the dividend 10, and write down the sum -5, [ 10 + (-15)=-5 ]

Step-4 : Multiply our root -3 by our last result -5 to get 15 [ (-3) × (-5)=15 ]

Step-5 : Add new result 15 to the next coefficient of the dividend -12, and write down the sum 3, [ (-12) + 15=3 ]

Step-6 : Multiply our root -3 by our last result 3 to get -9 [ (-3) × 3=-9 ]

Step-7 : Add new result -9 to the next coefficient of the dividend 11, and write down the sum 2, [ 11 + (-9)=2 ]

Step-8 : Multiply our root -3 by our last result 2 to get -6 [ (-3) × 2=-6 ]

Step-9 : Add new result -6 to the next coefficient of the dividend 7, and write down the sum 1, [ 7 + (-6)=1 ]

We have completed the table and have obtained the following coefficients 5,-5,3,2,1

Thus quotient is 5x³ - 5x² + 3x + 2  and remainder is 1.

And all these process are illustrated below.

To know more about Synthetic table here.

https://brainly.com/question/28085826

#SPJ1

Answer: y=$4.50+$3.20x

Step-by-step explanation: You already have to pay $4.50 plus $3.20 every mile driven (x) equals your final cost (y)

It is proved that every non-empty finite set has the same number of subsets of even size as it has subsets of odd size

The set's members are numbered 1, 2, 3, 4,..., n.

There is a set with an odd number of items that corresponds to every subset with an even number of elements in the following manner:

Delete 1 from the set to create one with an odd number of elements if it is a member of the set with an even number of elements.

Add 1 to the set to create a set with an odd number of items if it isn't already a member of the set with an even number of elements.

Let's say the set has the numbers 1, 2, 3, and 4. The relationship between sets with even numbers of elements and sets with odd numbers of elements is as follows:

even     odd

∅    ↔ {1}

{1,2}↔ {2}

{1,3}↔ {3}

{1,4}↔ {4}

{2,3}↔{1,2,3}

{2,4}↔{1,2,4}

{3,4}↔{1,3,4}

{1,2,3,4↔{1,2,3,4}

Therefore, it is demonstrated that any non-empty finite set has the same number of even-sized and odd-sized subsets.

Learn more about finite set :

brainly.com/question/1553535

#SPJ4

In order to solve for the variable in the equation

We want to apply the distributive property to the given expression.

1 - x - 2 + 2x = 10x - 25 - x is the result of this step.

Let's see how to solve this:

Remember that the distributive property says that:

A*(B + C) = A*B + A*C.

Here we have the expression:

1 - (x + 2) + 2x = 5*(2x - 5) - x

We can apply the distributive property to the first term in the right side, we will get:

1 - (x + 2) + 2x = 5*(2x - 5) - x

1 - (x + 2) + 2x = 5*2x - 5*5 - x

1 - (x + 2) + 2x = 10x - 25 - x

Now we can also apply the distribute property to the second term in the left side:

1 - (x + 2) + 2x = 10x - 25 - x

1 - x - 2 + 2x = 10x - 25 - x

Hence the answer is, 1 - x - 2 + 2x = 10x - 25 - x is the result of this step.

To learn more about distributive property click here https://brainly.com/question/2807928

#SPJ4

There is no difference between the mean IQ levels of people who were reared by their natural parents and those who were not.

learn more about hypothesis click here:

brainly.com/question/606806

#SPJ4

Properties we are going to use :
1. (a^m)^n = a^mn
2. a^m : a^n = a^(m-n)

((a^-2)^-1)^-1 = (a^(-2 x -1))^-1 = (a^2)^-1 = a^-2

(a : a^-1)^2 = (a^1 - (-1))^2 = (a^2)^2 = a^4

Therefore, the expression is simplified down to a^-2 : a^4

a^-2 : a^4 = a^(-2 - 4) = a^-6.

Answer: circumcenter

Step-by-step explanation:

If you meant the point of intersection of the perpendicular bisectors, this should be your answer.

On simplifying the given equations y = (x - 2)² - 9 and y = (x + 1)(x - 5), they  represent the same parabola which is y = x² - 4x - 5

What is equation of parabola?

The equation of a parabola can be expressed in standard form and vertex form. The standard form of a parabola is y = ax² + bx + c where a, b, and c are constants, and a does not equal 0.

The vertex form of a parabola is y = a(x - h)² + k. The coordinates (h,k) represent the vertex of the parabola.

We can check if the given equations represent the same parabola by simplifying them to standard form of equation of parabola.

According to the given equation:

y = (x - 2)² - 9

y = x² - 4x + 4 - 9

∴ y = x² - 4x - 5 ------ 1)

Similarly simplifying other equation

y = (x + 1)(x - 5)

y = x² - 5x + x - 5

y = x² - 4x - 5 ----- 2)

Clearly equation 1) and 2) represent the same parabola having equation

y = x² - 4x - 5

To know more about Equation of parabola visit

https://brainly.com/question/4074088

#SPJ1