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Mathematics

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serious [3.7K]3 years ago

3 0

Answer:

Step-by-step explanation:

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What is the slope of the line? A: 3 B: - 3 C: - 1 D: 1

Shtirlitz [24]

Answer:

Step-by-step explanation:

To find the slope of a line, we can use the slope formula:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

So, we will need to choose two points from the graph. Any two points will work.

Let’s choose (0, -1) and (1, 2).

So, we will let (0, -1) be (x₁, y₁) and (1, 2) be (x₂, y₂). Substitute these values into the slope formula:

$\displaystyle m=\frac{2-(-1)}{1-0}$

Evaluate:

$\displaystyle m=\frac{3}{1}=3$

Therefore, the slope of the line is 3.

Hence, our answer is A.

7 0

3 years ago

A right triangle is displayed.

Mazyrski [523]

Answer:

You have to use the Pythagorean Theorem to find the other side, which will be your base in the Area formula (A=1/2bh). So the Pythagorean theorem would be 36^2 + b^2 = 60^2. This gives you 48 in for your base/missing side length. Then, you plug it into the area formula. So, A=1/2(48) (36). This gives you 864 in^2 for the area of your triangle.

5 0

3 years ago

What is the remainder R when the polynomial p(x) is divided by (x + 1)? Is (x + 1) a factor of p(x)? p(x) = -3x4 + 2x3 - x2 + 6

vodka [1.7K]

Answer:

(x+1) is a factor with remainder 0.

Step-by-step explanation:

We divide (x+1) into the polynomial $-3x^4+2x^3-x^2+6$ through long division or synthetic. We choose long division and look for what will multiply with (x+1) to make the polynomial $-3x^4+2x^3-x^2+6$ .