All categories

3 years ago

Find the equation of the line. Use exact numbers.

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

4 0

Answer:

8 = 3x - 4y

or y = (3/4)x - 2

Step-by-step explanation:

(4,1) and (0, -2) are the two points I see.

slope = (1 -(-2))/(4 - 0) = 3/4

y-int: -2

y = (3/4)x - 2

or 2 = (3/4)x - y

8 = 3x - 4y

You might be interested in

The annual rainfall last year for Wallingford, Michigan was 61 inches and the annual rainfall this year was 32 inches. What was

Sati [7]

Answer:47.5%

Step-by-step explanation:

61-32=29

(29/61)x100=47.5%

4 0

3 years ago

The slope of the line shown in the graph is ? and the y intercept of the line is ?

ohaa [14]

Pick 2 points on ur line and use the slope formula : (y2 - y1) / (x2 - x1)

(y2 - y1) / (x2 - x1)
(-9,0)....x1 = -9 and y1 = 0
(0,6).... x2 = 0 and y2 = 6
now sub
slope = (6 - 0) / (0 - (-9) = 6/(0 + 9) = 6 / 9 = 2/3 <==

ur y intercept is where ur line crosses the y axis...and that would be (0,6)....or just 6 <==

5 0

3 years ago

If you can solve all parts I will give brainliest (also give strategy)

Alexxx [7]

The Halloween conical hat, with given height, circular base and brim

extension has the following calculated parameters;

Part a. The slant height is 18.2 inches

Part b. The volume of the cone is $37\frac{1}{2} \cdot \pi$ in.³

Part c. The area of the brim, A = 36·π in.²

Part d. The area of the brim is found by subtracting the area of the base of the cone from the area covered by the perimeter of the brim

Reasons:

Known parameters;

Height of the conical portion, h = 18 inches

Base circumference, C = 5·π inches

Part a. Slant height of the conical portion; Required

Solution:

The circumference of a circle, C = 2·π·r

Therefore;

$r = \dfrac{C}{2 \cdot \pi}$

Which gives;

$r = \dfrac{5 \cdot \pi}{2 \cdot \pi} = \dfrac{5}{2} = 2.5$

Radius, r = 2.5 inches

According to Pythagoras's theorem, we have; s² = r² + h²

Where;

s = The slant height of the cone

s² = 2.5² + 18² = 330.25

s = √(330.25) ≈ 18.2

The slant height, s ≈ 18.2 inches

Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.

$Volume \ of \ a \ cone = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h$

Therefore;

$V = \dfrac{1}{3} \times \pi \times 2.5^2 \times 18 = 37\frac{1}{2} \cdot \pi$

The volume of the cone, V = $37\frac{1}{2}$ ·π in.³

Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

∴ R = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, A = Area of the 6.5 inch circle - Area of the circular base of the cone

∴ A = π × 6.5² - π × 2.5² = 36·π

The area of the brim, A = 36·π in.²

Part d. The procedure for solving the question in part c, is described as follows;

The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

Learn more here:

brainly.com/question/17023854

4 0

3 years ago

Explain the difference between accuracy and precision

nata0808 [166]

Precision is more like consistency. Take a rifle range for example. Sure, all the shots may be off centered, but if they're tightly grouped together, it shows that the shooter had precision in their shooting. Accuracy is how close to spot on the attempts or shots generally are. They would end up more towards the center, but a little more spread out.

3 0

3 years ago

Read 2 more answers

I AM STUCK!!! PLEASE HELP!!!!!

mixer [17]

A = 0.1
B = 50.9

These are rounded to the nearest tenth

8 0

3 years ago