Answer:
Step-by-step explanation:
Our line's equation is;
2y = -8x + 12
Dividing throughout by 2 we get;
y = -4x + 6
The slope of our line = -4
We are to choose a line whose slope is -4 (from those four options)
A slope of -4 means that for every positive 1 move along the x-axis, there is a negative 4 move along the y-axis.
The line that satisfies this condition is the third line.
Answer:
16
Step-by-step explanation:
Perfect square in the quadratic from ax² + bx + c
You know an equation is perfect when:
2√(ax²)√(c) = bx
Substitute x² for ax² and 8x for bx. Then isolate c by doing the reverse operations.
2√(ax²)√(c) = bx
2√(x²)√(c) = 8x
2x√c = 8x Divide both sides by 2x
√c = 4 Square both sides to isolate c.
c = 16
The missing constant term is 16.
Check answer:
x² - 8x + 16
(x - 4)²
= (x - 4)(x - 4)
= x² - 4x - 4x + 16
= x² - 8x + 16
Answer:
all are congruent via SAS
Step-by-step explanation:
Well you could get 7 right
Formula for the volume of the oblique prism is:
.
From the diagram H=12 units and the base is isosceles triangle with lengths of the sides 5, 5 and 6 units.
1. Find the length of the altitude h to the largest side. In isosceles triangle the altitude to the base is also the median, so it divides the base into two equal parts. By the Pythagorean theorem,
.
2. The area of the base is given by formula
sq. un.
Thus, the volum is V=12·12=144 cubic units.