It’s a 90 degree clockwise rotation as coordinates become (y,-x).
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:
The expression that represents the length of 1 of the triangle's legs is y + 5
Step-by-step explanation:
An isosceles triangle has two sides equal which are the triangle legs. Let b represent the base of the triangle and l represent one of the triangle's legs. Then, the perimeter, P is given by
P = l + l + b
i.e P = 2l + b
From the question, P = 6y + 12 and b = 4y +2
∴ 6y + 12 = 2l + 4y + 2
6y - 4y + 12 - 2 = 2l
2y + 10 = 2l
∴ 2l = 2y + 10
Then,
l = (2y+10)/2
l = y + 5
Hence, the expression that represents the length of 1 of the triangle's legs is y + 5
To
answer this question we have to first determine how many times 100
can go into 13,300. To find this we do the following:
<span>$13,300/$100
= 133</span>
<span>Now
we simply multiply the result by $2.74:</span>
<span>$2.74*133
= $364.42.</span>
<span>Finally
we just multiply that by the total number of payments which are
(monthly payment, 12 months in a year, for 4 years).</span>
<span>$364.42*(12*4)
---> $364.42*48 = $17,492.16.</span>
The correct answer is choice 4.) 17,492.16
<span>I
hope this helps, Regards.</span>