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emmainna [20.7K]
2 years ago
10

What is the value of x? Enter your answer in the box.

Mathematics
2 answers:
ehidna [41]2 years ago
3 0

Answer:

25

Step-by-step explanation:

c^2=a^2+b^2

where c = hypotenuse

so, x^2 = 24^2+7^2

x^2 = 576 + 49

x^2 = 625

x = square root of 625

x = 25

blagie [28]2 years ago
3 0
The answer is 25
24x24 + 7x7 = 625
Square root of 625 is 25
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Find an equation for the line that passes through the points (5.-5) and (-4,-2)
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Answer:

\large\boxed{y=-\dfrac{1}{3}x-\dfrac{10}{3}\to x+3y=-10}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (5, -5) and (-4, -2).

Substiute:

m=\dfrac{-2-(-5)}{-4-5}=\dfrac{-2+5}{-9}=\dfrac{3}{-9}=-\dfrac{1}{3}

Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:

-5=-\dfrac{1}{3}(5)+b

-5=-\dfrac{5}{3}+b               <em>add 5/3 to both sides</em>

-\dfrac{15}{3}+\dfrac{5}{3}=b\\\\-\dfrac{10}{3}=b\to b=-\dfrac{10}{3}

Finally we have the equation of a line in the slope-intercept form:

y=-\dfrac{1}{3}x-\dfrac{10}{3}

Convert to the standard form <em>(Ax + By = C)</em>:

y=-\dfrac{1}{3}x-\dfrac{10}{3}          <em>multiply both sides by 3</em>

3y=-x-10              <em>add x to both sides</em>

x+3y=-10

4 0
3 years ago
The URS construction company has submitted two​ bids, one to build a large hotel in London and the other to build a commercial o
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Answer: Our required probability is 0.55.

Step-by-step explanation:

Since we have given that

Probability that chance of winning the hotel bid = 40%

Probability that no chance of winning the hotel bid = 100-40=60%

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Probability that no chance of winning the office building bid = 100-25 = 75%

So, Probability that the company will win at least one contract is given by

0.4\times 0.75+0.6\times 0.25+0.4\times 0.25\\\\=0.55

Hence, our required probability is 0.55.

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Step-by-step explanation:

8 0
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What statement is true?
expeople1 [14]
(A) because a right angle is 90 degrees and has a equal eqivalent to get to 100
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3x +4 and =-23 x=3and +1
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Answer:

Im not sure if you're asking us to solve the function operation but if you are heres what I got:

3x + 4 and = -23 =

x = 3 =

1 =

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