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2 years ago

What is the slope of the line that lies between the points (0, -1) and (-1,2)?

Mathematics

1 answer:

Shkiper50 [21]2 years ago

3 0

Answer:

m=-3

Step-by-step explanation:

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Find the area please

tatuchka [14]

Answer:

Step-by-step explanation:

Recall that the area of a triangle is given by:

$\displaystyle A = \frac{1}{2} bh$

In this case, the base is x and the height is y. Hence:

$\displaystyle A = \frac{1}{2} xy$

We can write the following ratios:

$\displaystyle \sin \alpha = \frac{x}{12} \text{ and } \cos \alpha = \frac{y}{12}$

Solve for x and y:

$\displaystyle x = 12\sin \alpha \text{ and } y = 12\cos \alpha$

Substitute:

$\displaystyle A = \frac{1}{2}\left(12\sin \alpha\right)\left(12\cos \alpha\right)$

And simplify. Hence:

$\displaystyle A = 72\sin \alpha \cos\alpha$

In conclusion, our answer is D.

6 0

2 years ago

What is the scale factor from ABC to XYZ?

zvonat [6]

Answer:

I'm not sure which answers choices you have so I am going to put two answers. But i believe the answer is 1/5 or 6 . I hope this helps you.

3 0

2 years ago

Find the range of the given data set. 5/8, 3/4, 1 1/8, 1 1/4 A)5/8 B)3/4 C)1 1/8

rodikova [14]

Answer:

A)5/8

Step-by-step explanation:

The range of a set of data is the difference between the highest and lowest values in the set.

Given data set:

5/8, 3/4, 1 1/8, 1 1/4

Rewriting the data set in the same denominator to compare:

5/8, 6/8, 9/8, 10/8

As we see the smallest value is 5/8 and the highest value is 10/8, so the difference:

10/8 - 5/8 = 5/8

So, the range of the given data set is 5/8

Correct choice is: A)5/8

6 0

2 years ago

Find the value of L. Perimeter =22. Width is 5. So what is L. On a square

SSSSS [86.1K]

P= L+W
P= Perimeter, L= Length and W=Width
Length + Width = Perimeter
So, then P(22) - W(5) = L(17)
Hope that helps.

4 0

2 years ago

Is the given function phi(x) = x^2 - x^-1 an explicit solution to the linear equation d^2y/dx^2 - 2/x^2 y = 0? Circle your answe

mart [117]

Answer:

Yes

Step-by-step explanation:

We are given that a function $\phi(x)=x^2-x^{-1}$

We have to find that given function is an explicit solution to the linear equation

$\frac{d^2y}{dx^2}-\frac{2}{x^2}y=0$

If given function is an explicit solution of given linear equation then it satisfied the given differential equation

Differentiate w.r.t x

Then we get $\phi'(x)=2x+x^{-2}$

Again differentiate w.r.t x

Then we get

$\phi''(x)=2-\frac{2}{x^3}$

Substitute all values in the given differential equation

$2-\frac{2}{x^3}-\frac{2}{x^2}(x^2-x^{-1})$

= $2-\frac{2}{x^3}-2+\frac{2}{x^3}=0$

Hence, given function is an explicit solution of given differential equation.

Therefore, answer is yes.

3 0

2 years ago