Answer:
The sum of all the sides to this quadrilateral will equal a total of 20 inches, so you set up the equation:
2 + 2x + 7 + x + 2 = 20
Solve for x by combining like terms;
(2 + 7 + 2) + (2x + x) = 20
Which simplifies to;
11 + 3x = 20
Get rid of constants;
-11 -11
3x = 9
Isolate x by getting rid of it's coefficient;
/3 /3
<u>x = 3</u>
Now, to find the length of PQ, we plug in the value of x(3) into the equation that contains the line PQ.
x + 2
<u>3</u> + 2
= <u>5 inches.</u>
Now, to find the length of RS, we plug in the value of x(3) into the equation that contains the line RS.
2x
2(3)
= <u>6 inches.</u>
Step-by-step explanation:
4y - 7 +2y = -3y + 3 - 1
4y -7 +2y' = -3y + 2
4y+2y+3y = 2+7
9 y = 9
y. = 1
Answer:
C. 70
Step-by-step explanation:
In the expansion of (a + b)^n, the k-th term is ...
nCk·a^(n-k)b^k . . . . . k = 0 to n; nCk = n!/(k!(n-k)!)
Here, we have n=8, k=4, so the term of interest is ...
8C4·x^4y^4 = (8·7·6·5)/(4·3·2·1)x^4y^4 = 70x^4y^4
The coefficient of the term is 70.
Answer:
At 1.5 seconds and 2.5 seconds
Step-by-step explanation:
Because this is parabolic motion, the object will reach the height of 68 feet when it's going up AND when it's coming down. In order to find out those times, you set the h on the left side of the equation equal to 68, because h stands for height.
Set that equal to 0 and factor to solve for t:
Using the quadratic formula, we get t = 1.5 and t = 2.5
The answer is x^2, which is C), because x^2 * x = x^3
