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3 years ago

The formula for the area of a triangle is A= (1/2)bh.

Mathematics

1 answer:

Nana76 [90]3 years ago

6 0

Answer:

18 in

Step-by-step explanation:

A = (1/2)bh

A = 54 in

b = 12/2 = 6 in

making h the subject

h = 2A/b

h = (2×54) ÷ 6

h = 108/6

h = 18 in

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Greeley [361]

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Step-by-step explanation:

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3 years ago

67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

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

Step-by-step explanation:

Hi there!

What we need to know:

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.

1) Determine the slope of the parallel line

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 $y=mx+b$ :

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

2) Determine the y-intercept

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

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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3 years ago

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irga5000 [103]

Answer: x+13

Step-by-step explanation:

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3 years ago

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Lerok [7]

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Step-by-step explanation: Find the multiples of 6 and 9

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Ira Lisetskai [31]

Answer:

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Step-by-step explanation:

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4 years ago

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