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Ira Lisetskai [31]
3 years ago
8

Ms. Harvey uses 70 ft of fencing to build a fence around a rectangular garden. The area of the garden is 300 square feet. What a

re the dimensions of the rectangular garden?
Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0
20+20+15+15=70
20times 15=300

The dimensions are 20 ft, 15 ft
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Find the slope of the line passing through the points (6, -6) and (4, -4)
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To find the slope (m), use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}         and plug in the two points

(4, -4) = (x₁, y₁)

(6, -6) = (x₂, y₂)

[lines usually go from left to right, so the point furthest to the left is the 1st point]

m=\frac{y_2-y_1}{x_2-x_1}

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67. The line contains the point (4,0) and is parallel<br> to the line defined by 3x = 2y.
olganol [36]

Answer:

y=\frac{3}{2} x-6

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:
  • y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
  • Parallel lines will always have the same slope but different y-intercepts.

<u>1) Determine the slope of the parallel line</u>

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

3x = 2y

Switch the sides

2y=3x

Divide both sides by 2 to isolate y

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

Now that this equation is in slope-intercept form, we can easily identify that \frac{3}{2} is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope \frac{3}{2} . Plug this into y=mx+b:

y=\frac{3}{2} x+b

<u>2) Determine the y-intercept</u>

y=\frac{3}{2} x+b

Plug in the given point, (4,0)

0=\frac{3}{2} (4)+b\\0=6+b

Subtract both sides by 6

0-6=6+b-6\\-6=b

Therefore, -6 is the y-intercept of the line. Plug this into y=\frac{3}{2} x+b as b:

y=\frac{3}{2} x-6

I hope this helps!

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