Solve by using the perfect squares method.x2 + 16x + 64= 0
a. –8
b. –16
c. 8
d. 16

Answers

Answer 1

Answer: x² + 16x + 64 = 0
x² + 2 * x * 8 + 8² = 0

Now, sing the formula (a + b)² = a² + 2ab + b² , we get,

(x + 8)² = 0

Square rooting on both sides, we get,

x + 8 = √0

x + 8 = 0

x = - 8 <== that's your answer!!!

Answer 2

Answer: x²+16x+64=(x+8)² (because (a+b)²=a²+2ab+b² => perfect square)
So you have to find x which will make (x+8)²=0
which is true when x+8=0
x=-8
That's a.
Hope it helps!

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What set of reflections and rotations would carry rectangle ABCD onto itself?

Answers

To solve this problem you simple have to think which of the following option would carry your shape into itself. Or in simpler words which one would make it go 360 degrees around. The correct set of reflections and rotations would be:

Reflect over the y-axis, reflect over the x-axis, rotate 180°.

I hope it helps, Regards.

Answer:

Reflect over the y-axis, reflect over the x-axis, rotate 180°.

Step-by-step explanation:

I took the test

What equation represents a line that is parallel to the line y=3-2x

Answers

The line whose equation is

y = (any number) - 2x

is parallel to the line y = 3 - 2x , because they have the same slope.

Multiply and simplify the product.–12i × 3i
Select the product.

a.36

b. -36

c. 36i

d. -36i

Answers

The multiplication and simplification of the polynomial –12i × 3i gives 36

What is a complex number?

A complex number is a number of the form a + bi, where a and b are real numbers, and i = √-1

i² = (√-1)² = -1

Given the complex number:

–12i × 3i

multiplying and simplifying gives:

= -36 * i² = -36 * -1 = 36

The multiplication and simplification of the polynomial –12i × 3i gives 36

Find out more on complex number at: brainly.com/question/10662770

#SPJ2

Hello,
(-12i)*(3i)=-36i²=36
Answer A

the Kelly family bought a new pet rabbit. They want to build an enclosure outside so it has lots of room to roam. They have 30 feet of leftover lumber to use. Find the length and width of the enclosure if the length is to be 4fteet longer than twice the width.

Answers

assume that since this is a simple math problem and they only mentioned legnth and witdth,
assume a perfect rectangle

so assuming they use all the lumber
30=perimiter
perimiter=legnth around=legnth+legnth+with+width

30=2legnth+2width
undistribute
30=2(legnth+width)
divide by 2
15=legnth+width
legnth is 4 more than 2width
legnth=4+2width
subsitute
15=legnth+width
15=4+2width+width
subtract 4
11=2width+width
divide by 3
11/3=width

legnth=4+2width
legnth=4+2 times (11/3)
lefnth=4+22/3
4=12/3
legnth=12/3+22/3
legnth=34/3 feet=11 and 1/3 foot

width=11/3=3 and 2/3

legnth=11 and 1/3 foot
width=3 and 2/3 foot

A famous basketball player scored 97 points in a high scool game, breaking a national record. She made 43 more 2-point baskets than 3-point baskets, and only 1 free throw. How many 2-point and 3-point baskets did she make?

Answers

x - 3pt baskets (he reaches 3x points)
y - 2pt baskets (he reaches 2y points)

We know, that y=x+43

97 - 1 free throw = 97 - 1 = 96
Sum of points: 96

3x + 2y = 96. Substitute to "y" an expression "x+43" :

3x + 2(x+43)=96
3x+2x+86=96
5x=10 |:5
x=2

So y=x+43=2+43=45

He has made 2 three points baskets and 45 two points baskets

Please someone help me giving brainliest :)