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babymother [125]
4 years ago
6

What is the ordered pair of real numbers $(x, y)$ which satisfies the equation $|x+ y-7|+ |4x - y+ 12|= 0$?

Mathematics
1 answer:
stiv31 [10]4 years ago
4 0
We know that
if <span>|x+ y-7|+ |4x - y+ 12|= 0
then
</span>x+ y-7=0
and
4x - y+ 12=0

using a graph tool
see the attached figure

the solution is the point (-1,8)
the answer is
<span>the ordered pair of real numbers is (-1,8)</span>

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Which of the following describes the image of a triangle after a dilation that has a scale factor of 5/6
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Answer:

See example below.

Step-by-step explanation:

The image of a triangle will be 5/6 the size. It will be slightly smaller than the original. For example, if the side measurement of the triangle on one side is 12 then the image of the triangle after a dilation will be 12*5/6 = 60/6 = 10.

The new side length is 10 slightly smaller than 12.

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The logo for a new company is a circle divided into 24 equally sized sectors. Six of the sectors are white, and the others are d
AveGali [126]

Answer:

r = 2.5

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8 0
3 years ago
Mad math for pi, I have no clue how to do this!!
bogdanovich [222]

To calculate the volume of this figure, we just have to find the volume of the hemisphere and the volume of the cone, then sum them up.

The volume of a hemisphere (the half of a sphere) is given by the formula:

V=\frac{2}{3}\pi r^3

Where r is the radius.

The volume of a cone is given by the formula:

V=\frac{1}{3}\pi r^2h

Where h is the height of the cone.

From the figure we have:

r = 5.3in

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The volume of the hemisphere is 311.6in^3

For the cone:

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As mentioned, the volume of the whole figure is the sum of the volume of the cone and the volume of the hemisphere, then, the volume of the figure is:

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Then, the correct answer is option A

3 0
2 years ago
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