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3 years ago

The length of a rectangle is seven more than double the width. If the perimeter is 22 inches find the dimensions

Mathematics

1 answer:

lubasha [3.4K]3 years ago

7 0

Answer:

width = 1 1/3 inches

length = 9 2/3 inches

Step-by-step explanation:

let 'w' = width

let '7+2w' = length

P = 2l + 2w

22 = 2w + 2(7+2w)

22 = 2w + 14 + 4w

8 = 6w

w = 4/3 or 1 1/3

substitute 1 1/3, or 4/3, to find length:

l = 7 + 2(4/3)

l = 7 + 8/3 or 9 2/3

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If a circle garden has a diameter of 60 feet and there’s a sidewalk 18 feet from the center, how long is the sidewalk?

Paul [167]

Answer:

Step-by-step explanation:

Conditions

A diameter must be chosen such that it meete the sidewalk perpendicular to itself.
The diameter meets the sidewalk at the sidewalk's midpoint.
The diameter meets the sidewalk such that the diameter is cut into two segments 30+18 and 12
The sidewalk is cut in 1/2 where the diameter meets the sidewalk as the diagram shows.
If all these conditions are met, the relationship between the four lines is

Equation

48/12 = x^2

Solution

4 = x^2

sqrt(x^2) = sqrt(4)

x = 2

The length of the sidewalk is 4. Why is it doubled.

Because there are 2 xs of equal length

8 0

3 years ago

Hello please help with my question, I will give brainlyest!

lilavasa [31]

No, John is incorrect.

<h3>Correct work shown:</h3>

$\sf x^2 - 6x - 7 = 0$

$\sf x^2 - 6x = 7$

$\sf x^2 - 6x + 9= 7 + 9$

$\sf (x-3)^2= 16$

$\sf x-3=\pm \sqrt{16}$

$\sf x-3= \pm 4$

$\sf x= + 4 + 3 \quad or \quad x = -4 + 3$

$\sf x= 7 \quad or \quad x = -1$

The correct answer should be x = 7 or x = -1

3 0

2 years ago

8(12+a) I'm Having trouble with this

KonstantinChe [14]

Answer:

8a+96

Step-by-step explanation:

8(12+a)

= 96+8a

5 0

3 years ago

Read 2 more answers

Write the equation of the line that passes through the given point and is parallel to the given line.

romanna [79]

<u>(Note: this answer is assuming that the equation has to be put in slope-intercept format.)</u>

Answer:

$y = \frac{1}{2} x - \frac{5}{2}$

Step-by-step explanation:

1) Let's use the point-slope formula to determine what the answer would be. To do that though, we would need two things: the slope and a point that the equation would cross through. We already have the point it would cross through, (-3,-4), based on the given information. So, in the next step, let's find the slope.

2) We know that the slope has to be parallel to the given line, $y = \frac{1}{2}x - 8$ . Remember that slopes that are parallel have the same slope - so, let's simply take the slope from the given equation. Since it's already in slope-intercept form, we know that the slope then must be $\frac{1}{2}$ .

3) Finally, let's put the slope we found and the x and y values from (-3, -4) into the point-slope formula and solve:

$(y- (-4)) = \frac{1}{2} (x - (-3))\\y + 4 = \frac{1}{2} (x + 3))\\y + 4 = \frac{1}{2}x+ \frac{3}{2} \\y = \frac{1}{2}x + \frac{3}{2} - 4\\y = \frac{1}{2}x + \frac{3}{2} - \frac{8}{2} \\y = \frac{1}{2}x - \frac{5}{2}$

Therefore, $y = \frac{1}{2}x - \frac{5}{2}$ is our answer. If you have any questions, please do not hesitate to ask!

3 0

3 years ago

Select the correct answer from the drop-down menu.<br> Fill in the missing number in the equation.

kramer

Answer:

what equation

Step-by-step explanation:

what equation

5 0

3 years ago