To expand the given expression we proceed as follows:
(6x²-2x-6)(8x²+7x+8)
=6x²(8x²+7x+8)-2x(8x²+7x+8)-6(8x²+7x+8)
=48x⁴+42x³+48x²-16x³-14x²-16x-48x²-42x-48
putting like terms together:
48x⁴+(42x³-16x³)+(48x²-48x²)+(-16x-42x)-48
=48x⁴+26x³+0x²-58x-48
hence the answer is:
48x⁴+26x³-58x-48
Answer: They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
For these two lines to be perpendicular, their slopes have to be negative reciprocals.
Slope of FG.
F = (-4, 1)
G = (0, -2)
= (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 1) / (0 + 4)
= -3/4
Slope of HJ
J = (0 , 4)
H = (-4, -2)
Slope = (Y₂ - Y₁) / (X₂ - X₁)
= (-2 - 4) / (-4 -0)
= 6/4
= 3/2
<em>The slopes of these lines are not negative reciprocals so these lines are not perpendicular. </em>
Area of full circle= πr^2
Area of a quadrant= πr^2/4
=(3.5)^2π/4
=12.25π/4
=3.06πcm squared.
Answer:
B
Step-by-step explanation:
Pints and Quarts are measures of volume. The relationship between them is rather simple.
We know 2 pints = 1 Quart
The problem gives us the number of pints and we need to find the number of quarts. From the relationship, we see that "pints divided by 2 will give us quarts"
Given >> 10 pints
Hence, number of quarts would be 10/2 = 5
Hence 10 pints = 5 quarts
Answer choice B is right.
25/27 = 0.925925925...
It's almost equal to 1 and it turns out that 1 is 100%.
So, we'd say that it's equal to:
92.59% (to 2 decimal places)
We've multiplied the value above (25/27) by 100.