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svetoff [14.1K]
3 years ago
10

The area of a square mirror is 256 squared inches. A rectangle mirror has a width the same as the square mirror's width. It's Le

ngth is two inches longer than its width. What is the area of the rectangular mirror?
Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0


The formula of the area of a square is the side length squared. So to get the width of the rectangle, you need to square root the area of the square. The square root of 256 is 16, therefore the width of the rectangle is also 16 inches. Since the length of the rectangle is 2 inches longer, you add 2 to 16, which gives you 18 inches.

The formula for the area of a rectangle is the length multiplied by the width.

18*16=288. The area of the rectangle is 288 inches. 

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Stella graphs the equation y=1/3x – 2
faltersainse [42]

we have

y=\frac{1}{3}x-2

<u>Statements</u>

<u>case A)</u> The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

<u>case B)</u> The line passes through the origin.

The statement is False

Because the point (0,0) is not a solution of the equation

Verify

Substitute the value of x and y in the equation

0=\frac{1}{3}*0-2

0=-2 ------> is not true

the point (0,0) is not a solution

therefore

The line does not pass through the origin

<u>case C)</u> The line passes through the point  (0,-2)

The statement is True

Because the point (0,-2) is a solution of the equation

Verify

Substitute the value of x and y in the equation

-2=\frac{1}{3}*0-2

-2=-2 ------> is true

the point (0,-2) is a solution

therefore

The line passes through the point (0,-2)

<u>case D) </u>The slope of the line is 3

The statement is False

Because, the slope of the line is m=\frac{1}{3}

<u>case E)</u> The y-intercept of the line is 2

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

find the value of y

y=\frac{1}{3}*0-2=-2

the y-intercept is equal to -2


5 0
4 years ago
Read 2 more answers
102, 163, 185, 111, 215, 137, 158, 125, 195, 205
Nata [24]

Answer:

160.5

Step-by-step explanation:

Arrange the data in an ascending order and the median is the middle value. if the number of values is an even number, the median will be the average of the two middle numbers.

8 0
2 years ago
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The number of lines of reflection about which the combined figure can reflect onto itself is ____
Fiesta28 [93]
A square(hope it helps)
7 0
3 years ago
Find cosØ if sinØ=-12/13 and tanØ&gt;0.<br><br> A) -5/12<br> B) -5/13<br> C) 12/5<br> D) -13/12
mestny [16]

Answer:

-5/13

Step-by-step explanation:

sin theta = opp / hyp

sin theta = -12 /13

we can find the adj side by using the pythagorean theorem

adj^2 + opp ^2 = hyp^2

adj^2 +(-12)^2 = 13^2

adj^2 +144 =169

adj^2 = 169-144

adj^2 = 25

Taking the square root of each side

adj = ±5

We know that it has to be negative since it is in the third quad

adj = -5

cos theta = adj / hyp

cos theta = -5/13

8 0
3 years ago
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I need to know the answer
grandymaker [24]

Answer: f(x)=-(x-5)^{2}(x+2)

Step-by-step explanation:

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To find a, we can substitute the coordinates of the y-intercept, (0, -50).

-50=a(0-5)^{2}(0+2)\\\\-50=50a\\\\a=-1

So, f(x)=-(x-5)^{2}(x+2)

3 0
2 years ago
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