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Westkost [7]
2 years ago
7

Choose the point-slope form of the equation below that represents the line that passes through the points (-6, 4) and (2, 0).

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
4 0
Point slope form
y-y1=m(x-x1)
slope=m
a point is (x1,y1)

slope=(y2-y1)/(x2-x1)
given
(-6,4) and (2,0)
slope=(0-4)/(2-(-6))=-4/(2+6)=-4/8=-1/2

a point is (-6,4)
x1=-6
y1=4

y-4=-1/2(x+6)
not listed
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2 years ago
What is the length of the other diagonal DF?<br> 5 cm<br> 16 cm <br> 21 cm <br> 32 cm
frez [133]
To solve this you need to know Pythagorean theorem.

First, EG is 24, so the halfway points are 12. Knowing Pythagorean triples, you can use 5,12,13 and 12,16,20.

DF = 5+16
DF = 21

If you don't know Pythagorean triples, I have worked it out on the image attached.

3 0
3 years ago
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A cylinder has been cut out of a solid. Find the volume of the remaining solid. Round answer to the nearest tenth.
Vladimir79 [104]

Answer:

98.19

Step-by-step explanation:

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3 0
3 years ago
Choose the correct simplification of the expression ( 4x/y)^2.
erik [133]

\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{4x}{y}\right)^{2}   \end{gathered}$}

To raise 4x/y to a power, raise the numerator and denominator to the power, and then divide.

\large\displaystyle\text{$\begin{gathered}\sf \frac{(4x)^{2} }{y^{2} }  \end{gathered}$}

Expand (4x)².

\large\displaystyle\text{$\begin{gathered}\sf \frac{4^{2} x^{2} }{y^{2} }  \end{gathered}$}

Calculates 4 to the power of 2 and gets 16.

\boxed{\large\displaystyle\text{$\begin{gathered}\sf \frac{16x^{2} }{y^{2} }  \end{gathered}$} }

6 0
1 year ago
What is the length of CD ? In this diagram ABC EDC ?<br> Please help !!!!
n200080 [17]
Answer:
CD = x = 4 units

Explanation:
We are given that the two triangles are similar. This means that we can set the similarity proportionality as follows:
\frac{BC}{CD} =  \frac{CA}{CE} =  \frac{AB}{ED}

W e have:
BC = 20 - x
AC = 20
CD = x
CE = 5

Substitute in the above proportionality and solve for x as follows:
\frac{20-x}{x} =  \frac{20}{5} = 4

4x = 20 - x
5x = 20
x = 4

Based on he above:
CD = 4 units
BC = 20 - x = 20 - 4 = 16 units

Hope this helps :)
5 0
3 years ago
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