Answer:
x=0 y=3
Step-by-step explanation:
Using linear functions, it is found that Rowan and Kennedy will have read the same number of pages in 10 minutes.
What is a linear function?
- A linear function is modeled by:

In which:
- a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For Rowan, we have that:
- He has already read 20 pages, hence the y-intercept is
.
- He reads 1.5 pages per minute, hence the slope is

Then:

For Kennedy, we have that:
- He has already read 25 pages, hence the y-intercept is
.
- He reads 1 page per minute, hence the slope is

Then:

They will have read the same number of pages after x minutes, for which:

Then:




To learn more about linear function, you can take a look at brainly.com/question/25823744
Answer:
Step-by-step explanation:
ASA because you have the given angles and sides ≅ and the vertical angles are also ≅
Rearrange x²+y²-4x+6y=-11 I'll tell you an easy way. take the coefficient of x and divide it by -2 and the coefficient of y and divide it by -2 so -4 ÷-2 = 2 6÷-2= -3 (2,-3) is the center of the circle to know the radius √2² + -3² + -11 =√2 The Radius equals √2
Answer:
a) SPAZ is equilateral.
b) Diagonals SA and PZ are perpendicular to each other.
c) Diagonals SA and PZ bisect each other.
Step-by-step explanation:
At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.
a) If figure is equilateral, then SP = PA = AZ = ZS:
![SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}](https://tex.z-dn.net/?f=SP%20%3D%20%5Csqrt%7B%5B4-%28-4%29%5D%5E%7B2%7D%2B%5B%28-2%29-%28-4%29%5D%5E%7B2%7D%7D)

![PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}](https://tex.z-dn.net/?f=PA%20%3D%20%5Csqrt%7B%286-4%29%5E%7B2%7D%2B%5B6-%28-2%29%5D%5E%7B2%7D%7D)



![ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}](https://tex.z-dn.net/?f=ZS%20%3D%20%5Csqrt%7B%5B-4-%28-2%29%5D%5E%7B2%7D%2B%28-4-4%29%5E%7B2%7D%7D)

Therefore, SPAZ is equilateral.
b) We use the slope formula to determine the inclination of diagonals SA and PZ:




Since
, diagonals SA and PZ are perpendicular to each other.
c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:








Then, the diagonals SA and PZ bisect each other.