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2 years ago

What’s the equation in slope-intercept form?

Mathematics

1 answer:

Varvara68 [4.7K]2 years ago

4 0

You can take any 2 points from the table and calculate the slope, as follows:
-2-(-4) 2
m = slope = ---------- = ------ = -1/5
-5 - 5 -10
The slope-intercept form is y = mx + b. You already know m (which is -1/5), and have several points from which to choose to obtain x and y. Let's use the given point (-2, -1).

Then -1 = (-1/5)(-2) + b, or -1 = 2/5 + b. Solve for b.

-5 = 2 + 5b, so 5b = -7, and b = -7/5.

The desired equation is y = (-1/5)x - 7/5.

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Find the total surface area of the following cone. Leave your answer in terms of Pi. 4cm 3cm

castortr0y [4]

The triangle formed from the height of the cone and the radius of its base is a special 3,4,5 triangle. The slant height is 5cm.

Recall that the area of a circle = pi*r^2

Substitute 3 in for r

Area = pi * (3)^2 = 9pi

SA = pi*r*l + B

Substitute our values into the equation

SA = pi * 3 * 5 + 9pi

SA = 15pi + 9pi

SA = 24pi cm^2

5 0

1 year ago

5.) Find the perimeter and area of a triangle with a base of 11 cm, height of 13.4 cm, and sides of 15

adelina 88 [10]

Perimeter is the sum of the 3 sides:

11 + 15 + 14 = 40 cm.

Area is 1/2 x height x base:

1/2 x 13.4 x 11 = 73.7 square cm.

6 0

2 years ago

Read 2 more answers

Sin(x2 + y2) da r , where r is the region in the first quadrant between the circles with center the origin and radii 2 and 5

sweet [91]

Converting to polar coordinates gives

$\displaystyle\iint_R\sin(x^2+y^2)\,\mathrm dA=\int_{\theta=0}^{\theta=\pi/2}\int_{r=2}^{r=5}\sin(r^2)r\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\pi\int_{r=2}^{r=5}2r\sin(r^2)\,\mathrm dr$
$=\displaystyle\pi\int_{r^2=4}^{r^2=25}\sin(r^2)\,\mathrm d(r^2)$
$=-\cos(r^2)\bigg|_{r^2=4}^{r^2=25}$
$=\pi(\cos4-\cos25)$

3 0

2 years ago

For a given function ƒ(x) = x2 – x + 1, the operation –ƒ(x) = –(x2 – x + 1) will result in a

Mekhanik [1.2K]

Given:

The function is:

$f(x)=x^2-x+1$

To find:

The result of the operation $-f(x)=-(x^2-x+1)$ .

Solution:

If $g(x)=-f(x)$ , then the graph of f(x) is reflected across the x-axis to get the graph of g(x).

We have,

$f(x)=x^2-x+1$

The given operation is:

$-f(x)=-(x^2-x+1)$

So, it will result in a reflection across the x-axis.

Therefore, the correct option is A.

4 0

2 years ago

BRAINLIEST & 25 POINTS PLEASE HELP URGENT DUE IN 10 MINUTES.

Cerrena [4.2K]

Answer:

C) 24 adults

Step-by-step explanation:

Let A be the number of adults and C be the number of children.

If a ticket costs $8 per adult, we can express this as 8A

If a ticket costs $5 per child, we can express this as 5C

Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.

Our second equation would be A+C=40 since there are 40 people.

Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.

The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:

8A+5(40-A)=272

8A+200-5A=272

3A+200=272

3A=72

A=24

Therefore, there are 24 adults

5 0

1 year ago