Such an equation would be y + 8x = - 25 (standard form) OR y = -8x - 25 (y-intercept form)
Deriving The Answer:
By using the point-slope form of the equation of a line, by knowing the gradient of that line and a point on that line, the equation of this line can be derived.
Now, the point-slope form exists as y - y₁ = m ( x - x₁)
since slope = -8 and the point on the line = (-4 , 7)
Then m = - 8
x₁ = - 4
y₁ = 7
⇒ y - 7 = -8 ( x - (-4))
⇒ y - 7 = -8x - 32
⇒ y + 8x = - 25
Answer:
A) (-5, -34)
Step-by-step explanation:
f(x) = x^2 + 10x - 9
We complete the square to get the equation in vertex form
Take the coefficient of the x term and divide by 2 then square it. We add it and then subtract it not to change the value of the equation
f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9
f(x) = x^2 +10x +25 -25 -9
f(x) = (x^2 +10x +25) -34
The term in parentheses simplified to (x+10/2) ^2
= (x+5)^2 -34
= (x - -5)^2 -34
This is in the form (x-h)^2 +k
The vertex is (h,k) h=-5 and k=-34
(-5,-34)
Answer:
H
Step-by-step explanation:
ST is similar to EF and WR is similar to CD.
Hope it helps.
Answer:
Step-by-step explanation:
The two given numbers both have the denominator 5, Thus the quotient quickly reduces:
11 4/5 becomes 59/5 and 3 1/5 becomes 16/5. Dividing the first expression by the second yields 59/16, which can't be reduced.
However, 59 = 48 + 11, so 59/16 = 48/16 + 11/16, which is approximately 3 1/2 (from either Answer B or Answer C).
The exact answer is 3 11/16; B and C are identical and are closer to 3 11/16 thn 3 or 4.
Answer:21/24=7/8 and 56/64=7/8
Step-by-step explanation:
21/24 and 56/64 because 3 can go into 21 and 24 and 8 can go into 56 and 64
