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3 years ago

6

The length of a picture frame is 2 inches more than the width. The perimeter of the frame is 36 inches. What is the length of th

e frame?

1 answer:

sveta [45]3 years ago

3 0

Let the width be $x$
∴the length = $x+2$
perimeter=2(l+b)
36= $2(x+2+x)$
36= $2(2x+2)
=4x+4$
$4x=32 x=8$
∴∴the length = $x+2 = 8+2
 =10$

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Distance on graph

Mnenie [13.5K]

The graph can be divided into two shapes. A rectangle and a right triangle.

The distance that the rover will cover if it completes one circuit can be computed using the Pythagorean theorem and adding the sides of the rectangle.

Rectangle:
Width = 4 - 2 = 2 meters
Length = 11 - 2 = 9 meters

Triangle = 16 - 2 = 14 ; 14 - 2 = 12 meters (this is the short leg)
long leg of the triangle = length of the rectangle = 9 meters.

12² + 9² = c²
144 + 81 = c²
225 = c²
√225 = √c²
15 = c

Point A to B = 4 - 2 = 2 meters
Point B to C = 15 meters
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2 years ago

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nataly862011 [7]

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2 years ago

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uysha [10]

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3 years ago

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Darina [25.2K]

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3 years ago

Read 2 more answers

Write the equation in slope intercept form. what are the slope and y intercept?

VMariaS [17]

Option C

<u> Answer: </u>

The equation in slope intercept form is $-\frac{5}{12} x-\frac{11}{12}$

The slope is $-\frac{5}{12}$ and y-intercept is $-\frac{11}{12}$

<u>Solution: </u>

The slope - intercept form equation of line is given as

y = mx + c ---- eqn(1)

Where m is the slope of the line. The coefficient of “x” is the value of slope of the line.

c is the y – intercept which is the value of y at the point where the line crosses the y-axis

From question, given that -5x - 12y = 11 --- eqn (2)

On converting equation (2) in slope – intercept form, that is adding 5x on both sides,

-5x - 12y + 5x = 5x + 11

-12y = 5x + 11

Now on dividing -12 on both sides,

$y=-\frac{5}{12} x-\frac{11}{12}$ ---- eqn (3)

Comparing the given equation (3) with equation (1), we get

$m = -\frac{5}{12}$ and $c = -\frac{11}{12}$

Hence Option C is correct.

5 0

3 years ago