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tangare [24]
3 years ago
14

Solve (x + 2<5) n (x-7>-6). {x11 {x1x < 3 or x> 1) {all real numbers)

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0

For this case we must solve x + 2intersected with x-7> -6

So, we have:

x + 2

The solutions are given by all strict minor numbers to 3.

x-7> -6\\x> -6 + 7\\x> 1

The solutions are given by all the major strict numbers to 1.

If we intersect the solutions of both equations we have x ∩ x> 1.

The intersection is given by 1

Answer:

 The solution interval is (1,3)

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Find the gradient of the line segment between the points (3,-2) and (5,-5). Give your answer in its simplest form.
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Read 2 more answers
Find the ratio of the area of triangle XBY to the area of triangle ABC for the given measurements, if BY = 3, YC = 2
Mazyrski [523]

Answer:

The ratio of the area of triangle XBY to the area of triangle ABC is \frac{9}{25}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

In this problem

Triangles XBY and ABC are similar, because the corresponding internal angles are congruent

see the attached figure to better understand the problem

step 1

Find the scale factor

Let

z-------> the scale factor

z=\frac{BY}{BC}

we have

BY=3\ units

BC=2+3=5\ units

substitute

z=\frac{3}{5}

step 2

Find the ratio of the area of triangle XBY to the area of triangle ABC

Remember that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

we have

z=\frac{3}{5} -----> scale factor

so

z^{2} =(\frac{3}{5})^{2} =\frac{9}{25}


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3 years ago
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Step-by-step explanation:

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she added 54-48 = 6g.

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1% = 100%/100 = 48/100 = 0.48g

how many % are 6g ?

as many as how often 1% (0.48g) fits into 6g :

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8 0
2 years ago
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