The equation of the vertical line passing through point -4,7 would be X = -4.
Answer:
![5x^3-2x^2+2x+9](https://tex.z-dn.net/?f=5x%5E3-2x%5E2%2B2x%2B9)
Step-by-step explanation:
(5x^3+4x^2)−(6x^2−2x−9)
To find the opposite of 6x^2−2x−9 find the opposite of each term.
5x^3+4x^2−6x^2+2x+9
Combine 4x^2 and 6x^2 to get −2x^2.
5x^3-2x^2+2x+9
Answer:
maria will run 1.75 more miles than her goal
Step-by-step explanation:
If you multiply 2.75 to 7 days you will get 19.25. And if you subtract it by 17.5(because that's her goal) you will get 1.75.
So the answer to this question would be:
Maria will run 1.75 more mile than her goal.
Answer:
y = - 9, y = 3
Step-by-step explanation:
Calculate distance d using the distance formula
d = ![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%20%20%20%20%7D)
with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)
d = ![\sqrt{(10-2)^2+(y+3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%2810-2%29%5E2%2B%28y%2B3%29%5E2%7D)
= ![\sqrt{8^2+(y+3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B8%5E2%2B%28y%2B3%29%5E2%7D)
Given distance between points is 10, then
= 10 ( square both sides )
64 + (y + 3)² = 100 ( subtract 64 from both sides )
(y + 3)² = 36 ( take the square root of both sides )
y + 3 = ±
= ± 6 ( subtract 3 from both sides )
y = - 3 ± 6 , thus
y = - 3 - 6 = - 9
y = - 3 + 6 = 3
Answer:
true
Step-by-step explanation:
each x-value have exactly only one y-value