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andrey2020 [161]
4 years ago
10

What is the slope of this line?

Mathematics
2 answers:
Setler79 [48]4 years ago
8 0
Hello there! Slope is rise/run. The formula for finding slope is y2 - y1/ x2 - x1, where you subtract the first x and y-coordinates from the second s and y-coordinates. We will use the points (0, 6) and (8, 8). The values will represent each of these:

y2 = 8
y1 = 6
x2 = 8
x1= 0

That makes the problem 8 - 6/ 8 - 0. Let's subtract. 8 - 6 is 2. 8 - 0 is 8. 2/8 is 1/4 in simplest form. There. The slope of the line is 1/4.
Katyanochek1 [597]4 years ago
5 0
Hello!

To find slope, calculate the change in y-values and divide it by the change in x-values:

y1 - y2 / x1 - x2

You have the coordinates (-4, 5), (0, 6), and (8, 8). You can use any combination of two of these points to calculate slope. I'll use (0, 6) and (8, 8).

6 - 8 / 0 - 8
-2 / -8
1/4

Answer:
The slope of the line is 1/4
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astraxan [27]

Answer:  THe correct option is (C) 15.

Step-by-step explanation:  We are given to find the length of SR in the right-angled triangle SRQ as shown in the figure.

Since RT is perpendicular to the hypotenuse SQ, so triangle RTQ and SRT are also right-angled triangles at angle RTQ and RTS respectively.

Also, RQ = 20 units and TQ = 16 units.

Using Pythagoras theorem in triangle RTQ, we have

RQ^2=RT^2+TQ^2\\\\\Rightarrow RT=\sqrt{RQ^2-TQ^2}\\\\\Rightarrow RT=\sqrt{20^2-16^2}\\\\\Rightarrow RT=\sqrt{144}\\\\\Rightarrow RT=12.

Now, since RT is perpendicular to the hypotenuse of ΔRST, so we get

ST\times TQ=RT^2\\\\\Rightarrow RS\times 16=144\\\\\Rightarrow RS=\dfrac{144}{16}\\\\\Rightarrow RS=9.

Again, using Pythagoras theorem in right-angled triangle RST, we get

SR^2=RT^2+ST^2\\\\\Rightarrow SR=\sqrt{144+81}\\\\\Rightarrow SR=\sqrt{225}\\\\\Rightarrow SR=15.

Thus, the length of SR is 15 units.

Option (C) is CORRECT.

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4 years ago
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Step-by-step explanation:

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