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8090 [49]
1 year ago
11

what is the slope of the line that passes through the points (9, 5) and (21, -5) in the simplest form​

Mathematics
1 answer:
deff fn [24]1 year ago
7 0

The slope of the line which passes through the two points as given in the task content is; m = -5/6.

<h3>What is the slope of the line which passes through the two points given?</h3>

The slope of the line in discuss which passes through the points as given can be determined from the slope formula as follows;

slope, m = (-5-5)/(21-9)

m = -10/12

m = -5/6

Ultimately, the slope of the line which passes through the two points as given in the task content is; m = -5/6.

Read more on slope;

brainly.com/question/3493733

#SPJ1

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A car travels at a steady speed and takes 5 hours to travel 510 miles work out the average soeed
kenny6666 [7]
Hi there! The answer is 102 mph.

A car travels at a steady speed and takes 5 hours to travel 510 miles.

To work out the average speed, we only need to find the speed per hour (miles per hour - mph). Since we now have our distance covered in 5 hours, we must divide by 5.

Distance covered per hour = 510 miles / 5 hours = 102 miles per hour.

Therefore the speed is 102 mph.
4 0
4 years ago
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What is another name for the height of the pyramid?
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5 0
3 years ago
If <img src="https://tex.z-dn.net/?f=x-12%5Csqrt%7Bx%7D%20%2B36%3D0" id="TexFormula1" title="x-12\sqrt{x} +36=0" alt="x-12\sqrt{
Elis [28]

Answer:

x = 36

Step-by-step explanation:

x - 12\sqrt{x} + 36 = 0

Subtract x and 36 from both sides.

-12\sqrt{x} = -x - 36

Divide both sides by -1.

12\sqrt{x} = x + 36

Square both sides.

144x = x^2 + 72x + 1296

Subtract 144x from both sides.

0 = x^2 - 72x + 1296

Factor the right side.

0 = (x - 36)^2

x - 36 = 0

x = 36

Since the solution of the equation involved squaring both sides, we musty check the answer for possible extraneous solutions.

Check x = 36:

x - 12\sqrt{x} + 36 = 0

36 - 12\sqrt{36} + 36 = 0

36 - 12\times 6 + 36 = 0

36 - 72 + 36 = 0

0 = 0

Since 0 = 0 is a true statement, the solution x = 36 is a valid solution.

6 0
4 years ago
Select the correct expression for the phrase below.
Arturiano [62]

Answer:

52+p

Step-by-step explanation:

The expression says "add p to 52", so we know that we need to sum two values, one of them is the variable 'p', and the other is the value 52.

So, writing this expression in mathematical terms, we have:

52+p

With this expression, we added p to the number 52.

So the correct answer is the last one (the fifth one)

7 0
3 years ago
Please help math
Naddika [18.5K]
   
\displaystyle\\&#10;15(2a - 2) = 5(a^2 -1) \\  \\ &#10;30a - 30 = 5a^2-5\\\\&#10;-5a^2 + 30a -30 + 5 =0\\\\&#10;-5a^2 + 30a -25 =0 ~~~~~\Big| \times (-1) \\\\&#10;5a^2 - 30a +25 = 0~~~~~\Big| : 5 \\\\&#10;a^2 - 6a +5 = 0 \\  \\ &#10;a_{12}= \frac{-b\pm \sqrt{b^2-4ac}}{2a}= \frac{6\pm \sqrt{36-20}}{2}= \frac{6\pm \sqrt{16}}{2}=\frac{6\pm 4}{2}= \boxed{3\pm 2} \\  \\ &#10;a_1 = 3+ 2 = \boxed{5}\\\\&#10;a_2 = 3-2 = \boxed{1}



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3 years ago
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