Step-by-step explanation:
well,
(y - 7)² = (y - 7)(y - 7)
remember how to multiply 2 expressions ?
you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).
so, when we do the multiplication, we get
(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =
= y² - 14y + 49
and that is clearly different to y² - 49
FYI
y² - 49 is the result of
(y - 7)(y + 7)
because
y×y + 7×y - 7×y + (-7)(7) = y² - 49
Answer:
k= -4
Step-by-step explanation:
M < PQS + m < RQS = 180° because they are supplementary angles.
Therefore:
(3x + 3) + (x + 19) = 180
3x — 3 + x + 19 = 180
4x + 16 = 180
Subtract 16 from both sides
4x — 16 = 180 — 16
4x = 164
Divide both sides by 4:
4x/4 = 164/4
x = 41
Therefore, the correct answer is x = 41
Answer:
(-5,-13)
Step-by-step explanation:
Find the vertex of the parabola y=1/5x^2+2x−8.
In this equation a=15 and b = 2.
x= -2/2(1/5) = -2/2/5 = -2/1 * 5/2 = -5
Substitute −5 into the equation y=1/5x^2+2x−8
y=1/5(−5)^2+2(−5)−8
y=5−10−8
y=−13
The vertex is (−5 , −13)
