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3 years ago

Find the slope of the line that passes through the points (2,-8) and (3,1)

Mathematics

2 answers:

Akimi4 [234]3 years ago

8 0

Answer:

Step-by-step explanation:

y2 -y1 = 1 -(-8) = 9

x2-x1 = 3-2 = 1

9/1

AleksAgata [21]3 years ago

6 0

Answer:

Step-by-step explanation:

Slope of line that passes through two points: $m=\dfrac{y_2-y_1}{x_2-x_1}$

(2, -8) ⇒ x₁ = 2, y₁ = -8

(3, 1) ⇒ x₂ = 3, y₂ = 1

$\bold{m=\dfrac{1-(-8)}{2-2}=\dfrac{1+8}1=9}$

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kiruha [24]

Answer:

Step-by-step explanation:

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2 years ago

Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 + x +

nevsk [136]

Answer:

$x_2 \approx -1.769$

Step-by-step explanation:

Let $f(x)=x^3+x+7$

So $f'(x)=3x^2+1$

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}$

Let $x_1=-2$

We are going to find $x_2$

So we are evaluating $-2-\frac{f(-2)}{f'(-2)}$

First step find f(-2)

Second step find f'(-2)

Third step plug in those values and apply PEMDAS!

$f(-2)=(-2)^3+(-2)+7=-8-2+7=-10+7=-3$

$f'(-2)=3(-2)^2+1=3(4)+1=12+1=13$

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5 0

2 years ago

Directions: Find the volume of each figure. Round to the nearest tenth if necessary.

balu736 [363]

Answer:

Step-by-step explanation:

square-based pyramid:

volume V = (⅓)b²h

= (⅓)7²·16

≅ 261.3 ft³

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Can't help with question 3. I haven't learned triangle-based pyramids.

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cone:

volume V = ⅓πr²h

= ⅓π17²·20

= 6052.8 yd³

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can't help with question 7. Never did this kind of pyramid.

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2 years ago

Determine whether the improper integral converges or diverges, and find the value of each that converges.

Rus_ich [418]

Answer:

Diverges

Step-by-step explanation:

We can solve this by using integral by parts:

Let

$u=lnx$ $dv=(1/x)dx$

$du=(1/x)dx$ $v=lnx$

$\int\limits {lnx/x} \, dx = (lnx)^2-\int\limits {lnx/x} \, dx$

We can add

$\int\limits {lnx/x} \, dx$ to both sides

$\int\limits{lnx/x} \, dx = (1/2)\cdot{(lnx)^2}$

We can evaluate the limit between 2 and infinity.

If x tends to infinity the limit will be infinity and therefore the integral diverges to ∞

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2 years ago

What scale factor is shown in the graph?

oee [108]

The answer is 1/2 the last one

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3 years ago

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