Answer: The answer would be D. 64
Step-by-step explanation: Understanding that the question noted that the second rectangle was dilated from PQRS, which has a perimeter of 16. With the coordinates of point P for the first rectangle being (2,0.5) whilst the second rectangle has point P at (8,2). To figure out the perimeter, divide point P from the second rectangle with point P from the first. The result would be 4. Thus, the scale factor is 4, which you then multiply the perimeter of PQRS by, which was 16. 16 times 4 equals 64.
The slope of KH is 1
The slope of GJ is -1
The product of the slopes of the diagonals is -1
Therefore, KH is perpendicular to GJ
Answer:
Área: 6x2=12, 2x3=6, 10x3=30, 30+6+12=48; <u>área = 48</u>
Perímetro: 10+3+6+2+6+5+2+3+2+3=42; <u>perímetro = 42</u>
Answer:

Step-by-step explanation:
<u>Roots of a polynomial</u>
If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula

Where a is an arbitrary constant.
We know three of the roots of the degree-5 polynomial are:

We can complete the two remaining roots by knowing the complex roots in a polynomial with real coefficients, always come paired with their conjugates. This means that the fourth and fifth roots are:

Let's build up the polynomial, assuming a=1:

Since:


Operating the last two factors:

Operating, we have the required polynomial:

Answer: -48x³y^4 (the option at the bottom left)
Step-by-step explanation:
-6x²y × 8y³x
=-48x³y^4 ⇔ multiplication in exponents with same base works as addition
Hope this helps!! :)
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