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3 years ago

Find the equation of the

Mathematics

1 answer:

kolbaska11 [484]3 years ago

4 0

Answer:

y=-1/3 x +2/3

Step-by-step explanation:

all steps are in picture

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Darnelle drew this figure and the accompanying equations.

kondor19780726 [428]

Answer:

Option D. w + x = z

Step-by-step explanation:

see the attached figure to better understand the problem

we have

$w+x+y=180$ ----> equation A

$y+z=180$ ----> equation B

equate equation A and equation B

$w+x+y=y+z$

Subtract y both sides

$w+x=z$

This equation satisfy the Triangle Exterior Angle Theorem (An exterior angle of a triangle is equal to the sum of the opposite interior angles)

4 0

3 years ago

an amusement park has a diameter of 1200 feet and has a circular walking path around the entire park.If you walk around the enti

padilas [110]

Answer:

3768

Step-by-step explanation:

7 0

3 years ago

Write an equation of the line passing through the point (3, -1) and parallel to the line y=2/3x - 5. Show work

alex41 [277]

Answer:

The answer is: y = 2/3x - 3

Step-by-step explanation:

Given point: (3, -1)

Given equation: y = 2/3x - 5, which is in the form y = mx + b where m is the slope and b is the y intercept.

Parallel lines have the same slope. Use the point slope form of the equation with the point (3, -1) and substitute:

y - y1 = m(x - x1)

y - (-1) = 2/3(x - 3)

y + 1 = 2/3x - 6/3

y + 1 = 2/3x - 2

y = 2/3x - 3

Proof:

f(3) = 2/3(3) - 3

= 6/3 - 3

= 2 - 3

= -1, giving the point (3, -1)

Hope this helps! Have an Awesome Day!! :-)

6 0

3 years ago

The degree of the function f(x) = -(x + 1)2(2x - 3)(x + 2)2 is , and its y-intercept is

Serggg [28]

Answer:

Degree = 5

Y intercept = 12

Step-by-step explanation:

our function is given as

$f(x)=-(x+1)^2 \cdot (2x-3) \cdot (x+2)^2$

in the above polynomial our variable is x and it is being multiplied for 5 times. Hence the probable degree for the above polynomial is 5

In order to find the y intercept , we need to put x=0 in f(x) as y intercept is the point at which the function graphically meets y axis and where x = 0

Hence

$f(0)=-(0+1)^2 \cdot (2(0)-3) \cdot (0+2)^2$

$f(0)=-(1)^2 \cdot (0-3) \cdot (2)^2$

$f(0)=-1 \cdot (-3) \cdot 4$

$f(0)=3 \cdot 4$

$f(0)=3 \times 4$

$f(0)=12$

Hence the y intercept is 12 units

6 0

3 years ago

What is the greatest factor of 52 that is a prime number?

Sophie [7]

Factors of 52 = 1, 2, 4, 13, 26, 52.

The greatest factor of 52 that is a prime number is 13.

6 0

3 years ago