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2 years ago

Find the slope ( rise/run)

Mathematics

1 answer:

Angelina_Jolie [31]2 years ago

8 0

Answer:

$\huge\boxed{-\frac{1}{3}}$

Step-by-step explanation:

In order to find the slope of a line, we need to find the rise over the run.

Basically - the change in y divided by the change in x.

$\frac{\Delta x}{\Delta y}$

We can compare the two points and find both.

We go from (0, 2) to (3, 1).

From 0 to 3 (x) is 3 units.

From 2 to 1 (y) is -1 units.

Therefore we can divide the x by the y.

$\frac{-1}{3}$

$-\frac{1}{3}$

Hope this helped!

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In Exercises 15 and 16, tell whether the triangle with the given side

Nata [24]

15. 10 cm, 10 cm, V200 cm : Right Angled Triangle

16. 9 in., 16 in., 25 in. : Not a right angled triangle

Step-by-step explanation:

In order to check whether the given sides form a right angled triangle, we check if the sum of squares of two shorter sides is equal to the square of third longest side.

15. 10 cm, 10 cm, V200 cm

$The\ shorter\ sides\ are\ 10cm\ and\ 10cm\\Let \\a=10\\b=10\\c=\sqrt{200}So,\\c^2=a^2+b^2\\(\sqrt{200})^2=(10)^2+(10)^2\\200 = 100+100\\200 = 200$

The triangle is a right angled triangle.

16. 9 in., 16 in., 25 in.

Here

a = 9 in

b=16 in

c=25 in

So,

$c^2=a^2+b^2\\(25)^2=(9)^2+(16)^2\\625=81+256\\625=337$

The given triangle is not a right angled triangle.

Keywords: Triangle, Right angled Triangle

Learn more about triangle at:

#LearnwithBrainly

3 0

3 years ago

A Lights-A-Lot quality inspector examines a sample of 25 strings of lights and finds that 6 are defective. What is the experimen

finlep [7]

Answer:

A 0.24 probability that one string is defective

Step-by-step explanation:

The sample probabiity:

$P=\frac{6}{25}$

$P=0.24$

If important to notice that this probability is from the sample, it can be extrapolated to the population but may not be the same.

5 0

3 years ago

Read 2 more answers

a(t)=(t−k)(t−3)(t−6)(t+3) is a polynomial function of tt, where kk is a constant. Given that a(2)=0a(2)=0, what is the absolute

Crank

Since $a(2)=0$ , we know that $t-2$ must be a factor of $a(t)$ , so $k=2$ . Then the zeros of $a(t)$ are $t=2,3,6,-3$ , and their product is -108, whose absolute value is 108.

3 0

3 years ago

A newspaper plans to conduct a survey for the upcoming presidential election in order to estimate the proportion of the populati

xxTIMURxx [149]

Answer:

660

Step-by-step explanation:

6 0

3 years ago

100 points the right answer please the set designer for a play painted some background scenery on a large piece of plywood. He u

podryga [215]

Answer:

14 ft

Step-by-step explanation:

Focus on the triangle, and temporarily neglect the 2 ft measurement at the top of the triangle. Then the 2 legs of the triangle have lengths h - 2 ft and 5 ft, and the hypotenuse is 13.

Applying the Pythagorean Theorem, we get:

13^2 = (h - 2)^2 + 5^2, or

169 = h^2 - 4h + 4 + 25, or

144 = h^2 - 4h + 4, or

140 = h^2 - 4h, or, finally,

h^2 - 4h - 140 = 0. We must find the value of h.

I graphed this function on a calculator and found that -10 is a zero. Thus, the function factors into (h + 10)(h - 14) = 0, or h = 14.

The total height of the piece of plywood is 14 ft.

Check this: does a right triangle with legs (14 - 2) and 5 have a hypotenuse of 13? Yes.

7 0

3 years ago