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amid [387]
2 years ago
15

Find the distance between (-3, -11) and (8, -42)

Mathematics
1 answer:
Marianna [84]2 years ago
3 0

Answer:

32.8937 units

Step-by-step explanation:

So, we can imagine this as a right triangle with a length of 11 (THe change of the X's) and the height being 31 (Change of the Y's)

Then we use pythagorean therom to find the hypotenuse (the length)

11^2 + 31^2 = c^2

121+961 = C^2

1082 = c^2

32.8937units

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Please help!
loris [4]

m∠B = 33° is the answer.

<u>Step-by-step explanation:</u>

If two triangles ΔABC and ΔMOP are similar,  then their corresponding angles are congruent.

In any triangle, sum of the measure of the angles add up to 180°.

∠A+ ∠B+ ∠C = 180°

∠A  ≅ ∠M

∠B ≅ ∠O

∠C ≅ ∠P

So we can add as,

∠A + ∠B+ ∠P = 180°

45° + ∠B + 102° = 180°

∠B + 147° = 180°

∠B = 180° - 147° = 33°

8 0
3 years ago
Given f(x)=e^-x^3 find the vertical and horizontal asymptotes
Aleonysh [2.5K]

Given:

f\mleft(x\mright)=e^{-x^3}

To find the vertical and horizontal asymptotes:

The line x=L is a vertical asymptote of the function f(x) if the limit of the function at this point is infinite.

But, here there is no such point.

Thus, the function f(x) doesn't have a vertical asymptote.

The line y=L is a vertical asymptote of the function f(x) if the limit of the function (either left or right side) at this point is finite.

\begin{gathered} y=\lim _{x\rightarrow\infty}e^{-x^3} \\ =e^{-\infty} \\ y=0 \\ y=\lim _{x\rightarrow-\infty}e^{-x^3} \\ y=e^{\infty} \\ =\infty \end{gathered}

Thus, y = 0 is the horizontal asymptote for the given function.

5 0
1 year ago
Can you please explain to me how I would solve this problem? Can you please explain/and show all the steps?
Lena [83]
22 = z + (-9) Switch the sides
z = 22 - (-9) Solve
z = 31 So, z = 31
7 0
3 years ago
Choose the correct simplification of the expression −3x2(5x − 4x2 − 6).
Bess [88]
Answer B.
- 3 {x}^{2} (5x - 4 {x}^{2} - 6) \\  =  - 15 {x}^{3}  + 12 {x}^{4}  + 18 {x}^{2}  \\  = 12 {x}^{4}  - 15 {x}^{3}  + 18 {x}^{2}
8 0
3 years ago
Read 2 more answers
Unit 6.6, Lesson 9: Practice Problems
7nadin3 [17]

Answer:

the answer is 798 + 789 mawdgghhji the same time as the work of the Maroons

8 0
2 years ago
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