Answer:
D) -4 (with imaginary roots ±2i)
Step-by-step explanation:
Since you cannot take the square root of a negative number to produce a real result, the only option that has two imaginary roots is D) -4, where the two imaginary roots are 2i and -2i.
The area of whole backyard:
a = 3x - 5
b = 4x - 10
a · b = (3x - 5) · (4x - 10) = 3x · 4x + 3x · (-10) - 5 · 4x - 5 · (-10) =
= 12x² - 30x - 20x + 50 = 12x² - 50x + 50
The area of swimming pool with patio:
a = x + 8
b = x - 2
a · b = (x + 8) · (x - 2) = x · x + x · (-2) + 8 · x + 8 · (-2) =
= x² - 2x + 8x - 16 = x² + 6x - 16
Then the area of the region they want ot cover with new grass is:
12x² - 50x + 50 - (x² + 6x - 16) = 12x² - 50x + 50 - x² - 6x + 16 =
= 11x² - 56x + 66
Answer:Each pair of alternate interior angles is congruent, and each pair of alternate exterior angles is congruent.
Step-by-step explanation:
Answer:
7x + 8y = 16
Step-by-step explanation:
You need to get the slope of the given line.
The line is in standard form ax + by = c
The slope = -a/b. (That's a little formula you can use to find the slope when the line is in standard form)
In this problem, m = - 7/8
Since the line we are trying to find is parallel, it has a slope of -7/8
Now use the point-slope form
y - (-12) = -7/8(x - 16) Multiply thru by 8 to remove the fractions
8(y + 12) = -7(x - 16)
8y + 96 = - 7x + 112
7x + 8y = 16
Answer:
23. C
24. I can't see the line
Step-by-step explanation:
