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2 years ago

Find the equation of the line described.

Mathematics

2 answers:

elena-14-01-66 [18.8K]2 years ago

8 0

Answer:

$y=-\frac{1}{3} x+4$

Step-by-step explanation:

The slope of the perpendicular line would be the negative reciprocal of the slope of the first line.

$3$ would turn into $-\frac{1}{3}$

You would now have

$y=-\frac{1}{3} x+b$

To find b, you would plug in the points given to find the y-intercept.

$x=6\\y=2$

Substitute:

$(2)=-\frac{1}{3}(6)+b\\2 = -2+b\\$

Add 2 to each side

$4=b\\b=4$

So the final equation would be

$y=-\frac{1}{3} x+4$

Lunna [17]2 years ago

5 0

Answer:

y = -1/3x + 4

Step-by-step explanation:

y = 3x +5

current slope m is 3, perpendicular is opposite inverse which is -1/3

Passing through (6,2):

y = mx + b

2 = -1/3(6) + b

2 = -2 + b

b = 4

Use the perpendicular m = -1/3 and b = 4 to form equation of line:

y = mx + b

y = -1/3x + 4

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What is the perimeter of a quadrilateral with vertices at (3,-6),(8,-6),(3,-4), and (8,-4)

Eduardwww [97]

Answer:

im sorry i dont know but this is for a challenge

Step-by-step explanation:

3 0

2 years ago

I NEED PLEASE IT WOULD REALLY HELP ME ALOT !! NO LINK OR ZOOMS

Karolina [17]

Answer:

Step-by-step explanation:

Don't worry about the volume to start with. Just look at the area of the top or bottom.

The hole has a 4 inch diameter

d = 4

r = d/2

r = 2

Area = pi r^2

Area = pi * 2^2

Area = 4 pi

Now find the area of the top (or bottom) if the circle was not there.

L = 8

W = 6

Area = L * W

Area = 8 * 6

Area = 48

Now take away the area of the circle.

Area Top = 48 - 4 * pi

Area Top = 48 - 12.56

Area Top = 35.44

Finally, Find the volume

Volume = area of the top * height

Volume = 35.44 * 15

Volume = 531.6

8 0

2 years ago

In its first year of operation, Big Lake Camp had 40 campers. This year’s attendance was 180% of the first year’s. How many camp

Murrr4er [49]

Answer:

72 campers participated this year

Step-by-step explanation:

Percentages

To determine x% of y, we must calculate x*y/100.

The number of campers that participated in Big Lake Camp during its first year was 40. We now want to know the number of campers that participated this year, if the attendance was 180% of the first year's.

The new attendance is calculated as follows:

40 * 180 / 100 = 72

72 campers participated this year

4 0

2 years ago

the number is less than 20. it is an odd one-digit number. it is not the number of sides of a triangle. It can be divided by thr

Elden [556K]

The answer is 9 because its an odd number, not the sides of a triangle, can be divided be 3, and is a single digit number.

3 0

3 years ago

Read 2 more answers

Find the standard equation of the circle with center (5, -3

Mrac [35]

Answer:

○ C

Explanation:

Accourding to one of the circle equations, $\displaystyle (x - h)^2 + (y - k)^2 = r^2,$ the centre of the circle is represented by $\displaystyle (h, k).$ Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:

Pythagorean Theorem

$\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = r^2 \hookrightarrow 36 + 64 = r^2 \hookrightarrow \sqrt{100} = \sqrt{r^2} \\ \\ \boxed{10 = r}$

Sinse we are dealing with length, we only desire the NON-NEGATIVE root.

Distanse Equation

$\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-5 - 3]^2 + [3 + 3]^2} = r \hookrightarrow \sqrt{[-8]^2 + 6^2} = r \hookrightarrow \sqrt{64 + 36} = r; \sqrt{100} = r \\ \\ \boxed{10 = r}$

Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.

I am joyous to assist you at any time.

5 0

2 years ago