Answer:
A
Step-by-step explanation:
Given
y - 2x - 8 = 0 ( add 2x + 8 to both sides )
y = 2x + 8 → (1)
y² + 8x = 0 → (2)
Substitute y = 2x + 8 into (2)
(2x + 8)² + 8x = 0 ← expand left side using FOIL and simplify
4x² + 32x + 64 + 8x = 0
4x² + 40x + 64 = 0 ( divide through by 4 )
x² + 10x + 16 = 0 ← in standard form
(x + 8)(x + 2) = 0 ← in factored form
x + 8 = 0 ⇒ x = - 8
x + 2 = 0 ⇒ x = - 2
Substitute these values into (1) for corresponding values of y
x = - 8 : y = 2(- 8) + 8 = - 16 + 8 = - 8 ⇒ P (- 8, - 8)
x = - 2 : y = 2(- 2) + 8 = - 4 + 8 = 4 ⇒ Q (- 2, 4 )
Calculate the length of PQ using the distance formula
PQ = 
with (x₁, y₁ ) = P (- 8, - 8) and (x₂, y₂ ) = Q (- 2, 4 )
PQ = 
= 
= 
= 
= 
= 
= 
× 
= 6 → A
So,
Matt answered 20 out of 25 questions.
We need to get the denominator to be 100. We can do that by multiplying the fraction by a form of 1.
From here, it should be easy to see that Matt has answered 80% of his test.
Answer:
7) First Circle
8)Also First Circle
Step-by-step explanation:
For the first one simplify the bottom expression to get (x-3)(x+7), then cancel out the numerator and x+7 to get 1/x-3. The restrictions are when you solve for x-3 and x+7
The second one is the same thing but this time we simplify the numerator to get (x+2)(x-5). Then, cancel out both x+2. Then you get x-5 as the answer and the restriction is -2 because x+2 is the denominator.
Hope this helps!
Answer:
It goes right
Step-by-step explanation:
Your probably thinking I'm wrong cuz -8 on the x axis goes left instead of right but trust me my Algebra teacher taught me this, and I dunno why
I believe this question is to do with bounds so the LB (lower bound) of 56= 55.5 the LB of 9.2= 9.15
LB= 55.5/9.15= 6.06557377
