Answer:
Reflect over x=-2 and dilate G'H'I' by a scale factor of 2 from point G
Step-by-step explanation:
First you'd have to reflect from x=-2 because its still on that line but the opposite way.
So we can already narrow it down to the second or last answer.
It wouldn't translate because that doesn't change the size. Its a dilation because the size has changed. Its dilated from point G because as you can see, G is the same point on both.
So the last answer choice is correct.
so their difference is 864π - 648π = 216π.
if we take 864π to be the 100%, what is 216π off of it in percentage?
y = - 4x - 2
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 4x - 5 is in this form
with slope m = - 4
• Parallel lines have equal slopes
y = - 4x + c ← is the partial equation
To find c substitute (- 2, 6 ) into the partial equation
6 = 8 + c ⇒ c = 6 - 8 = - 2
y = - 4x - 2 ← equation of parallel line
Answer:
2c + 3l ≤ 60
No
Step-by-step explanation:
Let's say you buy c yards of cotton lace and l yards of linen lace. The cotton lace will cost $2 per yard, and for c yards, you have to pay $2 c times, coming to a total of 2*c for the cotton lace. For the linen lace, you'd have to pay 3*l for l yards. The total amount of lace is thus equal to cotton lace cost + linen lace cost = 2c + 3l.
Total amount needs to be less than or equal to 60 (at most 60), so total amount = 2c + 3l ≤ 60
We can then plug our values of cotton and linen lace into our equation
12 yards of cotton lace, 15 yards of linen lace
2c + 3l ≤ 60
2(12) + 3(15) ≤ 60
24 + 45 ≤ 60
69 ≤ 60
This is false, so you cannot buy these amounts of lace.
Answer:
D
Step-by-step explanation:
Sum = -12
Product = -48
Factors = -12 , 4
-12 + 4 = - 8 & -12 * 4 = -48
x² - 8x - 48 = x² - 12x + 4x - 4*12
= x(x - 12) + 4(x - 12)
= (x - 12) (x + 4)
