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MAXImum [283]
2 years ago
15

What is the slope of the line that passes through the points (-10, 9) and (-12, 7)

Mathematics
1 answer:
Iteru [2.4K]2 years ago
6 0

\text{Given that,}~~\\\\(x_1, y_1) = (-10,9)~~\text{and}~~ (x_2,y_2) = (-12,7)\\\\\\\text{Slope,}~~ m = \dfrac{y_2 - y_1}{x_2 -x_1}= \dfrac{7-9}{-12+10} =\dfrac{-2}{-2}  = 1

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What is the value of x? Round to the nearest tenth. Please Help
Elodia [21]

Answer:

<h2>x = 6.5 cm</h2>

Step-by-step explanation:

The segment 20.2 cm is the tangent. Therefore x and 20.2cm are perpendicular.

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have

leg=x,\ leg=20.2cm,\ hypotenuse=(14.7+x)cm

Substitute:

x^2+20.2^2=(14.7+x)^2           <em>use (a + b)² = a² + 2ab + b²</em>

x^2+408.04=14.7^2+(2)(14.7)(x)+x^2          <em>subtract x² from both sides</em>

408.04=216.09+29.4x        <em>subtract 216.09 from both sides</em>

191.95=29.4x         <em>divide both sides by 29.4</em>

x\approx6.5\ cm

7 0
3 years ago
One number is seven less than five times another. If their sum is decreased by four the result is one. Find the numbers
juin [17]
Let the number be Y .
Y is seven
less than 5 times another (let that other be X)
Y=7-5X
sum of both Y and X minus 4 gives one
Y+X-4=1
now solve both equations .
6 0
3 years ago
Identify the volume of the composite figure rounded to the nearest tenth. HELP PLEASE!!
nirvana33 [79]

Answer:

V = 115.3 ft³

Step-by-step explanation:

The left part of the figure shows a cube of side length 4.2 ft.  The volume of a cube is V = s³, where s is the side length.  Hence, the volume of this particular cube is V = (4.2 ft)³ = 74.088.

The volume of a pyramid is V = (1/3)(base area)(height).

Here V = (1/3)(4.2 ft)²(7 ft) = 41.16 ft³.

Summing up the two distinct areas, we get V = 41.16 ft³ + 74.088 ft³, or

V = 115.3 ft³ after rounding up to the nearest tenth.

3 0
3 years ago
The sum of two numbers is 125. Five times one number minus three times the other is 41. Determine these numbers
vivado [14]
(x + y = 125)3
5x - 3y = 41
3x - 3y = 375
8x = 416, x = 52
52 + y = 125, y = 73

Solution: the numbers are 52 and 73
4 0
3 years ago
find the dimensions of a rectangle whose width is 5 miles less than its length and whose area is 66 square miles
Lyrx [107]
A = l * w
66 = l * (l - 5)
66 = l^{2}-5l
0 = l^{2}-5l - 66

l = 11 or 6 check which works.

A = 11 * 6, which fits.

length = 11 miles
width = 5 miles
4 0
3 years ago
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