The vertex form is
f(x) = a(x - (-1))^2 - 108 = a(x + 1)^2 - 108 where a is some constant.
from the y intercept x = 0 when f(x) = -105, so substituting:-
-105 = a (0+1)^2 - 108
a = -105+108 = 3
so our equation is f(x) = 3(x + 1)^2 - 108
for x intercept:-
3(x +1)^2 - 108 = 0
(x + 1)^2 = 108 / 3 = 36
x+ 1 = +/- sqrt36 = +/- 6
x = -7 or 5
so the x intercepts are at ( (-7,0) and (5,0)
If the boy grows another 5 inches, he will be 1/2 as tall as his sister. HIs sister is 68 inch tall
Let sister = g, and boy = b
2b + 5 = g
g = 68
Plug in 68 for g
2b + 5 = 68
Isolate the b. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.
first, subtract 5 from both sdies
2b + 5 (-5) = 68 (-5)
2b = 68 - 5
2b = 63
Isolate the b. Divide 2 from both sides
2b/2 = 63/2
b = 63/2
b = 31.5
The boy is 31.5 inches tall
hope this helps
Answer: 3x+y=-10
Step-by-step explanation: Using the formula, write in standard form.
Hope this helps you out.
35 is the answer to your question
Answer:
The correct option is B. The length of OB' is 3 units.
Step-by-step explanation:
The rule of dilation is D₀,₄. It means dilation by scale factor 4 with center of dilation is origin.
The length of OB' is 3 units. Therefore the correct option is option is B.