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Volgvan
3 years ago
10

The area of a square room is 16x^2+72x+81. what is the length of one side of the room

Mathematics
1 answer:
maxonik [38]3 years ago
4 0
To find this you know that the A of a square = s^2

So the length of one side equals s =  \sqrt{16 x^{2} +72x+81}

Since this is a perfect square, it would equal A = (4x+9)^{2}

And s =  \sqrt{(4x+9)^{2}} = 4x+9

Also you know it is a perfect square because the first and last terms are perfect squares :) :D
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Katena32 [7]

Answer:

-12= -12

Step-by-step explanation:

You're correct dw!

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2 years ago
I NEED THE ANSWER FAST PLZ!!<br> What is the slope of this line?
Elina [12.6K]

Answer:

the slope of this line is 0

hope it helps

Step-by-step explanation:

Is the horizontal line edging upward; that is, is it an increasing line? No, so its slope can't be positive. Is the horizontal line edging downward; that is, is it a decreasing line? No, so its slope can't be negative. What number is neither positive nor negative?

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3 years ago
What is the circumference of a circle whose radius is 13?
Inessa05 [86]

Answer:

Circumference, C = 81.68 units

Step-by-step explanation:

Given that,

The radius of the circle, r = 13 units

We need to find the circumference of the circle. The circumference of a circle is the sum of the outer boundary. For a circle, it is given by :

C=2\ \pi r

C=2\ \pi \times 13

C = 81.68 units

So, the circumference of the circle is 81.68 units. Hence, this is the required solution.

7 0
3 years ago
Read 2 more answers
Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. The number of $0.45 comic b
Anna007 [38]

Answer:

The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the unknowns or unknown variables are:

x: number of $ 0.45 comic books

y: number of $ 0.75 comic books

Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack.  Then the equation that represents this situation is:

x*0.45 + y*0.75= 9

On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books.  Then the equation that represents this situation is:

x+4=y

The system of equations to solve is:

\left \{ {{x*0.45+y*0.75=9} \atop {x+4=y}} \right.

One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.

In this case we directly replace the expression of the variable and of the second equation in the first:

x*0.45 + (x+4)*0.75= 9

Solving:

x*0.45 + 0.75*x + 4*0.75= 9

1.2*x + 3=9

1.2*x= 9-3

1.2*x= 6

x= 6÷ 1.2

x=5

Replacing this value in the expression x+4=y you get:

5 +4=y

9=y

<u><em>The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books</em></u>

8 0
3 years ago
3. You roll two fair dice, a white one and a red one. (a) Find P(5 or 6 on the white die and an odd number on the red die) (b) F
Elden [556K]

Answer:

a. P(5 or 6 on the white die and an odd number on the red die) = 1/6

b. P(odd number on the white die and 5 or 6 on the red die) = 1/6

c. P(5 or 6 on the white die and an odd number on the red die) or P(odd number on the white die and 5 or 6 on the red die) = 1/3

Step-by-step explanation:

(a) P(5 or 6 on the white die and an odd number on the red die)

Step 1: P(5 or 6 on the white die) = 1/6 + 1/6 = 1/3

Step 2: P(odd number on the red die) = 1/2

Step 3: P(5 or 6 on the white die and an odd number on the red die) = 1/3 × 1/2 = 1/6

(b) Find P(odd number on the white die and 5 or 6 on the red die).

Step 1: P(odd number on the white die) = 1/2

Step 2: P(5 or 6 on the red die) = 1/6 + 1/6 = 1/3

Step 3: P(odd number on the white die and 5 or 6 on the red die) = 1/2 × 1/3 = 1/6

(c) Find P(5 or 6 on the white die and an odd number on the red die) or P(odd number on the white die and 5 or 6 on the red die).

Step 1: P(5 or 6 on the white die and an odd number on the red die) = 1/6

Step 2: P(odd number on the white die and 5 or 6 on the red die) = 1/6

Step 3: P(5 or 6 on the white die and an odd number on the red die) or P(odd number on the white die and 5 or 6 on the red die) = 1/6 + 1/6 = 1/3

7 0
2 years ago
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