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Zina [86]
2 years ago
11

I need help with these questions

Mathematics
1 answer:
Katarina [22]2 years ago
8 0

Answer:

I'm not on this level of school

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The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches, find the dimensions of the rectangle.
mojhsa [17]

The problem uses the perimeter formula.  P = 2w + 2l   where w is the width, and l is the length.

We know the length (l) is 3 inches longer than it's width (or l = w+3).  Substitute w +3 into Perimeter equation

P = 2w + 2(w+3).  That simplifies to P = 4w + 6.

Since P + 42,   we have 42 = 4w +6.  With some simple algebra we find that w = 9 and l = 12.

Hope this helps!

5 0
3 years ago
Read 2 more answers
What is the x-value of the solution to the system of equations?
ValentinkaMS [17]

Answer:

The solution to the system of equations is:

x=4,\:y=-3

Step-by-step explanation:

Given the system of equations

5x + 4y =8

2x- 3y = 17

solving the system of equations

\begin{bmatrix}5x+4y=8\\ 2x-3y=17\end{bmatrix}

\mathrm{Multiply\:}5x+4y=8\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:10x+8y=16

\mathrm{Multiply\:}2x-3y=17\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:10x-15y=85

\begin{bmatrix}10x+8y=16\\ 10x-15y=85\end{bmatrix}

10x-15y=85

-

\underline{10x+8y=16}

-23y=69

\begin{bmatrix}10x+8y=16\\ -23y=69\end{bmatrix}

solve for y

-23y=69

Divide both sides by -23

\frac{-23y}{-23}=\frac{69}{-23}

y=-3

\mathrm{For\:}10x+8y=16\mathrm{\:plug\:in\:}y=-3

10x+8\left(-3\right)=16

10x-24=16

10x=40

Divide both sides by 10

\frac{10x}{10}=\frac{40}{10}

x=4

Thus, the solution to the system of equations is:

x=4,\:y=-3

7 0
2 years ago
If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t
svp [43]
A full rotation is 360 degrees  so the required angle is 360/12 = 30 degrees.
3 0
3 years ago
Read 2 more answers
N.) Evaluate the expression (xy)? + 8, when x = 2 and y = 4.
kodGreya [7K]

Answer:

16

Step-by-step explanation:

x=2. y=4

following bodmas

2*4=8

  • 8+8=16
4 0
3 years ago
Read 2 more answers
What is the slope of the line passing through the points (1,57) and (2,27)?
alex41 [277]

Answer:

m = -30

m = slope

Step-by-step explanation:

(1,57) and (2,27)

(x1,y1) and (x2,y2)

y2 - y1.       27 - 57

----------  =.  ----------  =.  -30/1 = -30

x2-x1.           2 - 1

5 0
3 years ago
Read 2 more answers
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