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3 years ago

Find the length of the radius. Type a numerical value in the space provided. Do not type spaces in your answer

Mathematics

1 answer:

sergey [27]3 years ago

3 0

Answer:

Step-by-step explanation:

its in the picture

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What is the solution to the system of equations using the linear combination method {4x+y=5, 3x+y=8?

erastovalidia [21]

4x + y = 5
3x + y = 8
y = -3x + 8

4x +(-3x + 8) = 5
4x -3x + 8 = 5
x + 8 = 5
x = -3

y = -3(-3) + 8
y = -9 + 8
y = -1

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3 years ago

What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?

vfiekz [6]

Answer:

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

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 and b is the y-intercept (the value of y when the line crosses the y-axis)
Parallel lines always have the same slope and different y-intercepts

1) Determine the slope (m)

$x-2y=6$

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

$x-2y-x=6-x\\-2y=-x+6$

Divide both sides by -2

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

Now, we can identify clearly that the slope of the given line is $\frac{1}{2}$ since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of $\frac{1}{2}$ as well. Plug this into $y=mx+b$ :