In a coordinate plane, points A and B have coordinates (-2,4) and (3,3), respectively. What is the value of A B ?
A. √50
B. (1,7)
C. (5,-1)
D. 1,-1)
E. √26

Answer:

(3s-2)°+(4s-6)°=90

3s-2+4s-6=90

7s-8=90

7s=90+8

7s=98

Dividing both sides by 7

S=98/7

S=14

Answer:

Hello,

1/37

Step-by-step explanation:

Explanation on the picture

Answer:

-10.

Step-by-step explanation:

-25+15=-10.

Answer:

x= 36 y= 67 and z=77

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180

can be written as x+y+z=180

The sum of the measures of the second and third angles is four times the measure of the first angle.  

It can be written by:  x+y=4z

The third angle is 10 more than the second

It can be written as z=y+10

By solving the equations systems the above values can be determined.

x+y+z=180

x+y=4z

z=y+10

The  linear equation that is being represented by the graph is  y=-3x +2.

A linear equation  can be described as the equation that has its highest power of the variable as  1 and this is been refereed to as the  one-degree equation.

It should be noted that  slope, of the the equation is usually in the form y=mx+b where mx is slope, however the linear equation usually have   one or two variables and when a  variable in a linear equation  has a power greater than 1 then it is no more linear.

Therefore, option A is correct.

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Answer:

1/12, 0.2, 22%, 1/4

Step-by-step explanation:

1/12 = 0.083333

1/4 = 0.25

22% = 0.22

0.2

So: 1/12, 0.2, 22%, 1/4

   A parabola having vertex at the origin and focus at (0, -1.5) is expressed by the following equation:

y = -x²/6

 A parabolic function is one that has a quadratic variable, its shape is defined by the intersection of an inclined plane whose angle of inclination with respect to the axis of revolution of the cone is equal to that presented by its generatrix.

Since the vertex and the focal axis are on the same axis, we analyze that:

(x - 0)² = 4p(y - 0)

Focus

f = (0, 0 + p)

0 + p = -1.5

p = 0 -1.5

p = -1.5

(x - 0)² = 4*(-1.5)(y - 0)

(x)² = -6(y)

y = -x²/6

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The figure have AE = FD

given,

AB =CD

AB = AE + EB

CD = CF + FD

AE + EB = CF + FD

CF = EB given,

AE = FD

 if the triangle ABC and triangle DEF are identical. More specifically their side lengths and their angle measures are all the same, therefore we can consider them congruent figures. And that's exactly how you prove two figures are congruent by matching their corresponding parts.

SSS (Side-Side-Side) SAS (Side-Angle-Side) ASA (Angle-Side-Angle) AAS (Angle-Angle-Side).

Triangles that have exactly the same size and shape are called congruent triangles.

Identifying Congruent Figures in the Real World

    2.If the corresponding sides of two figures with the same shape have the same length, then the two figures are congruent.

They are the same shape but not the same size. Non-congruent rectangles. These two polygons have matching sides equal but their matching angles are not equal and so they are not congruent. They are different shapes even though the sides are the same size.

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Answer:

[tex]y = - \frac{1}{5} x + 4[/tex]

Step-by-step explanation:

The slope-intercept form equation of a line is given by y= mx +c, where m is the slope and c is the y-intercept.

Start by finding the slope.

[tex]\boxed{\text{Slope}= \frac{y_1 - y_2}{x_1 - x_2} }[/tex]

Slope of line, m

[tex] = \frac{6 - 3}{ - 10 - 5} [/tex]

[tex] = \frac{3}{ - 15} [/tex]

[tex] = - \frac{1}{5} [/tex]

Substitute value of m into equation:

[tex]y = - \frac{1}{5} x + c[/tex]

Substitute any point the line passes through into the above equation:

When x= 5, y= 3,

[tex]3 = - \frac{1}{5} (5) + c[/tex]

3= -1 +c

c= 3 +1

c= 4

Substitute the value of c into the equation:

[tex]y = - \frac{1}{5} x + 4[/tex]

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Answer: 1 thank you

Step-by-step explanation:

The required three ways of solutions are,
1 - Transposition left to right
2- Property of equality
3 - Transposition right to left

Here,
Given expression,

13=-2(y-4)+3y

Approach 1,
13 = -2 (y - 4) + 3y
13 = -2y + 8 + 3y
13 = y + 8
13 - 8 = y
5 = y

Approach 2
13 = -2 (y - 4) + 3y
13 - 3y = -2y + 8
Adding 3y both side
13 - y = +8
Subtracting 13 on both sides
-y = -5

Multiplying by -1 on both sides
y = 5

Approach 3
13 = -2 (y - 4) + 3y
transposition of the variable to the left and contents to the right
2(y - 4) - 3y = -13
2y - 8 -3y = -13
-y -8 = -13
-y = -13 + 8
-y = -5
y = 5

Thus, the required three ways of solutions are,
1 - Transposition left to right
2- Property of equality
3 - Transposition right to left

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After solving the equation the value of x is -23, 25 in the equation 19+|x-1|=33

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

⇒ 9+|x-1| = 33

For positive case

⇒ 9+|x-1| = 33

⇒ (x-1) = 33 - 9

⇒ x - 1 = 24

⇒ x = 25

For negative case

⇒9+|x-1| = 33

⇒ -(x-1) = 33 - 9

⇒ -x + 1 = 24

⇒ - x = 23

⇒ x = -23

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The description of the transformation that occurs to any given point is a 4 unit left translation and 8 units up translation

The rule is given as

(x,y) --> (x-4, y+8)

The above rule represents a translation transformation

This is evident because it has the format

(x,y) --> (x + h, y + k)

By comparison, we have

h = -4

k = 8

This represents a 4 unit left translation and 8 units up translation

Hence, the description of the transformation that occurs to any given point is a 4 unit left translation and 8 units up translation

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The algebraic expression of the situation "Jenny had $130, but she is spending $10 per week is 130-10x

Given,

The total amount she had = $130

Amount she spend per week = $10

Consider the number of weeks as x

Then the algebraic expression = 130-10x

Hence, the algebraic expression of the situation "Jenny had $130, but she is spending $10 per week" is 130-10x.

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A diameter of a circle is any straight line segment that passes through the center of the circle and has endpoints on the circle.

The diameter of the circle is 28 inches.

In geometry, a circle's diameter is any straight line segment that passes through the center of the circle and has endpoints on the circle. It is also referred to as the circle's longest chord. Both definitions apply to a sphere's diameter.

The diameter is twice the radius because the greatest distance between two points on a circle must be a line segment through the center of the circle.

Here, CF is a radius and the diameter is twice the radius.

Diameter of a circle = 2r

d = 2r

Where, r = 14

Diameter of a circle, d = 2r

Diameter of a circle = 2(14)

Diameter of a circle = 28

Therefore, the diameter of the circle is 28 inches.

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Answer: 10 tutors

Step-by-step explanation:

Make the proportion:

72 students - 6 tutors

120 students - x tutors

Hence,

[tex]\displaystyle\\x=\frac{(120)(6)}{72} \\\\x=\frac{720}{72} \\\\x=\frac{(72)(10)}{72}\\\\ x=10\ tutors[/tex]

Answer:

No Solutions

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

Since -1 does not equal to -8, there are no solutions for x that makes this equation true.

Answer:

no solution

Step-by-step explanation:

3x-1=4x+8-x

add like terms

3x-1=3x+8

add 1 to both sides

3x=3x+9

subtract 3x from both sides

0=9

no answer!

  The expand each binomial. (3-x)⁵ is:

-x⁵ + 15x⁴ -90x³ + 270x² - 243x + 243

 We solve first by perfect square trinomial, then we apply the distributive property.

(3 - x)⁵ = (3 - x)²(3 - x)²(3 - x)

(3 - x)²= 9 -  6x + x²

81 - 54x + 9x² - 54x + 36x² - 6x³ + 9x² - 6x³ + x⁴

x⁴ - 12x³+ 54x² - 108x + 81

(x⁴ - 12x³+ 54x² - 108x + 81)(3 - x)
3x⁴ - 36x³+ 162x² - 324x + 243 - x⁵ + 12x⁴ - 54x³ + 108x² - 81x

-x⁵ + 15x⁴ -90x³ + 270x² - 243x + 243

   A polynomial is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms.

 Depending on the number of terms it can be :

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Natalie will receive a weekly salary of $656.61 and a summer salary of $10505.76.

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.

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Answer:

74/100

37/50 (this is the answer if 74/100 is simplified)

Hope this helps :)

Explanation right below.

Step-by-step explanation:

The 4 in 0.74 ends in the hundredths place, so 74 will be put over 100 in a fraction to get 74/100. If 74/100 needs to be simplified then divide the numerator and denominator by 2 to get 37/50.

In fraction, June is 9/8 as old as David.

What is a fraction?

A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. A common, vulgar, or simple fraction has a numerator above a line and a non-zero denominator below (or after) that line. Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.

The required fraction is (3/4) x (3/2) = 9/8

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Answer:

[tex]{ \tt{volume = base \: area \times height \times length}} \\ \\ { \tt{v = \frac{1}{2} (a + b) \times h \times l }} \\ \\ { \tt{v = \frac{1}{2} (1.7 + 2.3) \times 1.3 \times 1.5}} \\ \\ { \tt{v = 2 \times 1.3 \times 1.5}} \\ \\{ \tt{v = 3.9 \: {m}^{3} }}[/tex]

Answer:

3.9 m³

Step-by-step explanation:

To find the volume of a right prism, multiply its base area by its height.

For the given shape:

Area of a trapezoid

[tex]\boxed{A = \dfrac{1}{2}(a+b)h}[/tex]

Where a and b are the bases and h is the height.

From inspection of the given diagram:

Substitute the given values into the formula to find the area of the trapezoid base (ABCD):

[tex]\begin{aligned}A & = \dfrac{1}{2}(a+b)h\\\implies ABCD & = \dfrac{1}{2}(BC+AD)CD\\ &=\dfrac{1}{2}(1.7+2.3)(1.3)\\&=\dfrac{1}{2}(4)(1.3)\\&=(2)(1.3)\\&=2.6\; \sf m^2\end{aligned}[/tex]

Therefore:

[tex]\begin{aligned}\textsf{Volume of prism} & = \textsf{Area of base} \times \sf height\\\implies V & = ABCD \times 1.5\\V & = 2.6 \times 1.5\\V & = 3.9\;\sf m^3\end{aligned}[/tex]

The pet store owner made a multiplication error.

The payment should be $48 per month.

An equal periodic payment can be calculated using the following formula:

P = T / N ............................................. (1)

Where, from the question:

P = periodic payment or the amount required to be paid periodically = ?

T = Total amount payable or the amount Samuel bought the snake = $288

N = Number of periods = 6

Substituting all the relevant values into equation (1), we have:

P = $288 / 6

P = $48

The P = $48 implies that $48 has to be multiplied by 6 to obtain $288.

Therefore, the pet store owner made a multiplication error.

The payment should be $48 per month.

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Statements (B) and (D):

shows causation.

In the given questions statements (B) and (D) shows causation.

Therefore, statements (B) and (D):

shows causation.

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The correct question is given below:

Which situation shows causation?

(A) When the number of people in a bus increases, the number of animals in a zoo also increases.

(B) When the number of hours worked each week by an hourly employee decreases, the amount of money earned by the employee also decreases.

(C) When the amount of a discount for a sale increases, the number of items sold during the sale decreases.

(D) When the number of bike trails in a city decreases, the amount of rainfall in the city increases.

72/6=12

that means every tutor would have 12 students. if the academy has 120 students then we divide 120 by 12 to get 10. That means the academy needs 10 tutors.

Answer: 66 degrees for 1st angle

52 degrees for 2nd angle

62 degrees for 3rd angle

Step-by-step explanation:

3x+(x + 30)+(x + 40)=180

3x+x+30+x+40=180

3x+x+x+30+40=180

5x+70=180

5x=110

x=22

3x=

3(22)=66 degrees for 1st angle

x+30=

22+30=52 degrees for 2nd angle

x+40=

22+40=62 degrees for 3rd angle

Answer:

3x=66

x+30=52

x+40=62

66,42,62

Step-by-step explanation:

(3x)+(x+30)+(x+40)=180

5x+70=180

5x=110

x=22

3x=66

x+30=52

x+40=62

1:4 is the ratio of the pigeon's aorta radius to that of the goose.

So,

Canceling it to the simplest form:

So, the ratio is 1:4.

Therefore, 1:4 is the ratio of the pigeon's aorta radius to that of the goose.

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first look at the equation you’re given. It’s in y-intercept form. The slope is 5.

A line perpendicular to it has a slope that is the opposite reciprocal, -1/5. You are told that the y-intercept of the line is 4, so the equation for the Since the slope of the line is -1/5, and the y-intercept is 4, the equation of the line is,

y = (-1/5)x + 4

Multiply both sides by 5 and put into standard form,

x + 5y = 20line in y-intercept form is y= -1/5x+4

When we have a linear equation in standard form, we can find the x- and y-intercepts of the corresponding line. This also allows us to graph it.

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