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ddd [48]
3 years ago
8

Solving Two-Step Inequalities

Mathematics
1 answer:
Nuetrik [128]3 years ago
6 0

Answer:

x > \frac{9}{5}

Step-by-step explanation:

Given

\frac{2}{3} x - \frac{1}{5} > 1

Multiply through by 15 to clear the fractions

10x - 3 > 15 ( add 3 to both sides )

10x > 18 ( divide both sides by 10 )

x > \frac{18}{10} , that is

x > \frac{9}{5}

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Find the coordinates of the third vertex that completes the construction of a right triangle on the coordinate plane.
Neko [114]

Answer:

<u>(7,a) Where a ∈ R - {7}</u>

<u>OR</u>

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Step-by-step explanation:

The coordinates of the given line from the right to the left are:

(7,1) and (-2,1)

So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)

So, the third vertex must be on the line x=7 or x=-2

So, the coordinates of the third vertex is:

<u>(7,a) Where a ∈ R - {7}</u>

<u>OR</u>

<u>(-2,a) where a ∈ R - {-2}</u>

3 0
3 years ago
Read 2 more answers
A triangle has one leg that measures 12 cm and a hypotenuse 24 cm. Find the length of the other leg to the nearest tenth of cent
Minchanka [31]

9514 1404 393

Answer:

  20.8 cm

Step-by-step explanation:

The term "hypotenuse" suggests this triangle is a right triangle. Then the other leg can be found using the Pythagorean theorem:

  x^2 +12^2 = 24^2

  x^2 = 576 -144 = 432

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The other leg is about 20.8 cm.

_____

<em>Additional comment</em>

A right triangle with a short leg that is 1/2 the length of the hypotenuse is the "special" 30°-60°-90° right triangle. The longer leg is √3 times the length of the short leg: 12√3 ≈ 20.8 cm.

7 0
2 years ago
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RUDIKE [14]
THE SLOPE IS 1 AND THE Y INTERCEPT IS -3, the x is equal to 1, and the -3 is in the place of the y intercept so your answer would be A.
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3 years ago
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AfilCa [17]

Answer:

insurance payments every month

8 0
2 years ago
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Greeley [361]
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------------------- 
12inch candle lasts longer ..</span>
3 0
3 years ago
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