Answer:
Equation of a line has form of y = ax + b
This line passes (-8, 8) and (1, 10), then:
-8 = -8 x a + b
10 = a + b
Subtract 2nd equation to 1st equation, then:
18 = 9 x a
=> a = 2
=> b = 10 - 2 = 8
=> y = 2x + 8
Hope this helps!
:)
(x - a)^2 + (y - b)^2 = (y - d)^2
<span>x^2 - 2ax + a^2 + y^2 - 2by + b^2 = y^2 - 2dy + d^2 </span>
<span>Subtract y^2 from both sides... </span>
<span>x^2 - 2ax + a^2 - 2by + b^2 = -2dy + d^2 </span>
<span>Now I would just substitute in the the values (a = -4, b = 17/8, d = 15/8)... </span>
<span>x^2 - 2(-4)x + (-4)^2 - 2(17/8)y + (17/8)^2 = -2(15/8)y + (15/8)^2 </span>
<span>Simplify... </span>
<span>x^2 + 8x + 16 - (17/4)y + 289/64 = -(15/4)y + 225/64 </span>
<span>Add (17/4)y to both sides... </span>
<span>x^2 + 8x + 16 + 289/64 = (2/4)y + 225/64 </span>
<span>x^2 + 8x + 16 + 289/64 = (1/2)y + 225/64 </span>
<span>Subtract 225/64 from both sides... </span>
<span>x^2 + 8x + 16 + 1 = (1/2)y </span>
<span>x^2 + 8x + 17 = (1/2)y </span>
<span>Multiply both sides by 2... </span>
<span>2x^2 + 16x + 34 = y </span>
<span>...which is equal to equation D.</span>
Answer:
Option D.The number of dollars it costs to rent the house for 10 days
Step-by-step explanation:
we have
f(x) -----> the total cost for renting a vacation house
x ------> the number of days rented
we know that
f(x)=10+250x
so
For x=10 days
substitute in the function
f(10)=10+250(10)=$2,510
f(10) represent the number of dollars it costs to rent the house for 10 days
Answer:
See explanation
Step-by-step explanation:
The given expression is: 
Recall that 24=3*8
Recall again that:
We rewrite in radical form to obtain
![\implies (8*3)^{\frac{1}{3}}=2\sqrt[3]{3}](https://tex.z-dn.net/?f=%5Cimplies%20%288%2A3%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D2%5Csqrt%5B3%5D%7B3%7D)
