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3 years ago

5

The slope of the line below is -4. which of the following is the point-slope form of the line

1 answer:

MrMuchimi3 years ago

8 0

Answer:

y - b = -4(x - a)

Step-by-step explanation:

If the line passes through (a, b), then the point-slope form of the equation of the line is y - b = -4(x - a). Where's the line you mention?

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Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.

rewona [7]

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed as:

$y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}$

Thus, the area of the surface is as follows:

$\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA$

$= \iint_D \sqrt{x^2 +y^2 +1 } \ dA$

$= \int^{2 \pi}_{0} \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr \ d \theta$

$=2 \pi \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr$

$= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0$

$= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg]$

$= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ]$

3 0

2 years ago

What is the length of 2x+6

matrenka [14]

Answer: 3 i hope this is right

Step-by-step explanation:

8 0

3 years ago

Carmela mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts

Evgesh-ka [11]

Amount of walnuts= $\frac{3}{4} kg$

Amount of almonds= $\frac{1}{2} kg$

Amount of pecans= $\frac{1}{4} kg$

Total amount= $\frac{3}{4}+\frac{1}{2}+\frac{1}{4}$

LCM is 4 so sum is = $\frac{3+2+1}{4}=\frac{6}{4}$ = $\frac{3}{2}$

As given, Carmela divides the mixed nuts into 3/10 kilogram bags so number of bags will be:

$\frac{\frac{3}{2}}{\frac{3}{10}}$

= $\frac{3}{2}\times\frac{10}{3}$ = 5

Hence, answer is 5 bags.

5 0

3 years ago

A golden eagle flies a distance of 290 miles in 5 days.If the eagle flies the same didstance each day of its journey how far doe

Georgia [21]

The eagle flew 58 miles each day hoped this helped

8 0

3 years ago

Generalize the pattern by finding the nth term. 6, 10, 14, 18, 22, ... options: A. 4n B. 4n + 2 C. 4n + 10 D. 6n + 4

elixir [45]

ANSWER

B.

$4n + 2$

EXPLANATION

The given pattern is:

6, 10, 14, 18, 22, ...

The first term if the pattern is a=6.

The common difference among the terms is

$d = 10 - 6 = 4$

The general pattern can be found using the formula:

$f(n)=a+d(n-1)$

We substitute the values to get,

$f(n)=6+4(n-1)$

Expand to get;

$f(n)=6+4n-4$

$f(n) = 4n + 2$

The correct answer is B.

7 0

3 years ago