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luda_lava [24]
2 years ago
13

given the points(-4,8) and (6,-12) determine the mid point of line segment connecting the points determine the distance sepratin

g the two points
Mathematics
1 answer:
lbvjy [14]2 years ago
8 0

Answer:

midpoint = ( \frac{ - 4 + 6}{2} , \:  \frac{ - 12 + 8}{2} ) \\  = (1, \:  - 2) \\  \\ distance =  \sqrt{ {( - 4 - 6)}^{2} +  {(8  + 12)}^{2}  }  \\  =  \sqrt{500}  \\  = 22.4 \: units

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62 quarters

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3 years ago
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What is an equation of the line that passes through the points (0, -7) and (-8, 3)?
avanturin [10]

Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -\frac{5}{4} x-7  

Step-by-step explanation:

1) First, find the slope of the line by using the slope formula, m = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(3)-(-7)}{(-8)-(0)}\\m = \frac{3+7}{-8-0} \\m = \frac{10}{-8} \\m = -\frac{5}{4}

So, the slope is -\frac{5}{4}.

2) Now, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. Substitute real values for the m, x_1, and y_1 in the formula.

Since m represents the slope, substitute -\frac{5}{4} in its place. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (0, -7), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the following answer:

y-(-7) = -\frac{5}{4} (x-(0))\\y + 7 = -\frac{5}{4} x\\y = -\frac{5}{4} x-7

7 0
2 years ago
Find the volume of the cone. Use 3.14 for n. Round to the nearest tenth.
enyata [817]

Answer:

1590.6cm {}^{3}

Step-by-step explanation:

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7 0
2 years ago
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PARALLEL slopes always have the same slope no matter what because they are parallel

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3 years ago
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second answer to the left


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