FC is median..

Median is a line from a vertex that equally divides the opposite side...
here FC divides DB therefore it is a median.....

HOPE IT HELPS YOU '_'

8 0

3 years ago

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The point-slope form of the equation of a line that passes through points (8,4) and (0, 2) is y-

Oksi-84 [34.3K]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

While the point-slope equation of a line is given by:

$y-y_ {0} = m (x-x_ {0})$

Where:

m: It's the slope

$(x_ {0}, y_ {0}):$ It is a point through which the line passes

In this case we have a line through:

(8,4) and (0,2)

Therefore, its slope is:

$m = \frac {2-4} {0-8} = \frac {-2} {- 8} = \frac {1} {4}$

Its point-slope equation is:

$y-4 = \frac {1} {4} (x-8)$

Then, we manipulate the expression to find the equation of the slope-intersection form:

$y-4 = \frac {1} {4} x- \frac {8} {4}\\y-4 = \frac {1} {4} x-2\\y = \frac {1} {4} x-2 + 4\\y = \frac {1} {4} x + 2$

Therefore, the cut-off point with the y-axis is $b = 2$

ANswer:

$y = \frac {1} {4} x + 2$

7 0

3 years ago

(x + 12)2 + (y+13)2 = 36 <br><br> What’s the steps to get the center and the radius?

Anon25 [30]

Step-by-step explanation:

${(x + 12)}^{2} + {(y + 13)}^{2} = 36 \\ {(x + 12)}^{2} + {(y + 13)}^{2} = {6}^{2} \\ equating \: it \: with \: \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ - h = 12 \implies \: h = - 12 \\ - k= 13 \implies \: k = - 13 \\ \therefore \: center \: = (h, \: \: k) = ( - 12, \: \: - 13) \\ \: \: \: \: {r}^{2} = {6}^{2} \implies \: radius \: (r)= 6 \: units$

7 0

3 years ago

The question is in the image! Please answer quickly.

Jobisdone [24]

Answer:

While slavery was the major issue separating the North and South, it was not slavery itself that sparked the conflict. The South wanted to secede from the Union, and the North refused. While President Abraham Lincoln personally opposed slavery, he recognized that it was legal under the U.S. Constitution at the time. He also recognized that few in the North were ready to go to war to free the slaves. For Lincoln and the northern majority, preservation of the Union was the foremost goal.

5 0

2 years ago

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