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Naya [18.7K]
3 years ago
5

Use the figure to answer the questions below.

Mathematics
1 answer:
alina1380 [7]3 years ago
5 0

Answer:

  • parallelogram
  • x = 5
  • 60 units

Step-by-step explanation:

A. Opposite sides are the same length, so the figure is a parallelogram.

__

B. Diagonals of a parallelogram cross at their midpoints, so ...

  9x +3 = 10x -2

  5 = x . . . . . . . . add 2-9x to both sides

__

C. The longer side is 12x = 12(5) = 60 . . . . units

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If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?
Dovator [93]

Keywords

quadratic equation, discriminant, complex roots, real roots

we know that

The formula to calculate the <u>roots</u> of the <u>quadratic equation</u> of the form  ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}}{2a}

where

The <u>discriminant</u> of the <u>quadratic equation</u>  is equal to

b^{2}-4ac

if  (b^{2}-4ac)> 0 ----> the <u>quadratic equation</u> has two <u>real roots</u>

if  (b^{2}-4ac)=0 ----> the <u>quadratic equation</u> has one <u>real root</u>

if  (b^{2}-4ac)< 0 ----> the <u>quadratic equation</u> has two <u>complex roots</u>

in this problem we have that

the <u>discriminant</u> is equal to -8

so

the <u>quadratic equation</u> has two <u>complex roots</u>

therefore

the answer is the option A

There are two complex roots

5 0
3 years ago
Read 2 more answers
The sales tax in New York is 8.25%. About how much will a $66.00 pair of shoes cost, including sales tax?
Airida [17]

Answer:


Step-by-step explanation:

66.00 x 1.0825 = 71.445 rounded to $71.45

You take 8.25% and divide it by 100 which will give you 0.0825 by adding a 1 this will get you the sales tax and original amount.

5 0
3 years ago
PLEASE HELP (image included) Graph the solution of the equation b - 11 = -8
lesantik [10]

It is the third number line.

b-11=-8

What minus 11 would equal -8? 3!

8+3=11 so it would make sense that the dot would be on 3.

smaller numbers minus larger numbers (such as this equation) always end up being negative, so if you have the answer and at least one of the other numbers, it will be easy to figure out.

In this case you would want to maybe just imagine 11-8=? or go 8+?=11.

11-8=3 and 8+3=11. There you would have your missing number.

4 0
3 years ago
If 35% people voted for Gary how many people would that be
Mekhanik [1.2K]

35% = .35.

First, you make 35% into a fraction 35/100. Then make it into simplified form.

35 divided by 5 and 100 divided by 5 35/5 = 7 and 100/5 =20.

So,

35%=.35=35/100=7/20

7/20

is your answer


8 0
3 years ago
Which of the following is equal to the expression listed below?
Novay_Z [31]

Answer:

Step-by-step explanation:

9(5 + 2)

the answer is D

3 0
3 years ago
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