Answer:
4. -2s^9
7. 8b^10
Step-by-step explanation:
First, focus on the number part of the expression. For 4), multiply -2 x -1 x -1 = -2. Then, look at the exponents. When you're multiplying exponents with the same base (in number 4, the base is s), you can add the exponents.
2+3+4 = 9; which makes it s^9. Multiply -2 x s^9, which gives you -2s^9.
Same thing for 7). Multiply all the numbers first. this gives you 8. (Remember two negatives equals a positive). Add all of the exponents of b together, which gives you 10. (when a variable has no exponent, it means that the exponent is 1.) Multiplying 8 and b^10 should give you 8b^10.
It may help to brush up on exponent rules and sign rules.
To find the perimeter, multiply the longest side of the rectangle by 4.
To find the area of the square, find the area both rectangles and add them together.
Answer:
Perimeter of ABCD = <u>56 units</u>
Perimeter of WXYZ = <u>140 units</u>
Step-by-step explanation:
<u>To find the perimeter of ABCD, find the sum of all sides</u>
18 + 18 + 10 + 10 = 56
<u>To find the side lengths of WXYZ, use the equation:</u> 
45/18 = 2.5
<em>You can also cross multiply to find the missing side lengths, but I'll show you this other way...</em>
<u>Multiply the pre-image side lengths by 2.5</u>
18 × 2.5 = 45
10 × 2.5 = 25
<em>45 and 25 of the new side length of WXYZ</em>
<em />
<u>To find the perimeter of WXYZ, find the sum of all sides.</u>
45 + 45 + 25 + 25 = 140
WX = 45, XY = 25, YZ = 45, ZW = 25