All categories

2 years ago

What is the equation of the line that is perpendicular to y=-3x+1 that passes through the point (9,0)?

Mathematics

1 answer:

kompoz [17]2 years ago

8 0

Answer:

Step-by-step explanation:

perp. 1/3

y - 0 = 1/3(x - 9)

y = 1/3x - 3

You might be interested in

A circular picture is 8 inches in diameter.

velikii [3]

The formula of an area of a circle with radius r:

$A=\pi r^2$

Part A.

We have diameter of the circle d = 8 in. The diameter of a circle is equal two times length of a radius.

Therefore:

$r=\dfrac{d}{2}\to r=\dfrac{8}{2}=4\ in$

Calculate the area:

$A=\pi\cdot4^2=16\pi\ in^2$

Answer: C. 16π square inches.

Part 2.

Look at the picture.

Total area:

$A=\pi\cdot6^2=36\pi\ in^2$

Answer: C. 36π square inches

7 0

2 years ago

Find the distance between (2, 2) and (-4, 4). Round answer to the nearest tenth.

Naya [18.7K]

Answer:

6.3

Step-by-step explanation:

First off, we need the distance formula, which is:

$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

If we plug in the points, we get:

$\sqrt{(-4 - 2)^2 + (4 - 2)^2}$

If we simplify everything under the square root, we get:

$\sqrt{(-6)^2 + (2)^2}$

$\sqrt{36 + 4}$

$\sqrt{40}$

In decimal, the answer is 6.3

6 0

2 years ago

Geometry math question no Guessing and Please show work

MAXImum [283]

If the point P(x, y) partitions the segment AB in the ratio 1 : 1, then the point P is midpoint of segment AB.

The formula of a midpoint of segment:

$A(x_A;\ y_A),\ B(x_B,\ y_B)\\\\P_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)$

We have:

$A(13,\ 1)\to x_A=13,\ y_A=1\\B(-5,\ -3)\to x_B=-5,\ y_B-3\\\\P\left(\dfrac{13+(-5)}{2};\ \dfrac{1+(-3)}{2}\right)\to P\left(\dfrac{8}{2};\ \dfrac{-2}{2}\right)\to P(4,\ -1)$

Answer: C. (4, -1)

3 0

2 years ago

Debroah earns $10 per hour tutoring other students in math class. she earns versus the time that she tutors for. on the lines be

vesna_86 [32]

It represents that she tutored for 0 hours, and earned $0.

3 0

2 years ago

Given a data set consisting of 33 unique whole number observations, its five-number summary is:

Lemur [1.5K]

Answer:

given a data set of 33 unique whole number observation,its five number sumary is [16, 29, 40 ,54, 67]

Step-by-step explanation:

The p-th percentile in an ordered (from low to high) data set is a value such that p% of the data is less than that value. The quartiles of a data set are the 25th, 50th and 75th percentiles. (The 25th percentile is usually called the first quartile, the 50th percentile is usually called the median, and the 75th percentile is usually called the third quartile.)

The formula for finding the location (or position) of the (approximate) pth percentile in an ordered (from low to high) data set is

L p=(n+1).p/100

For example, in the data set [2,4,6,8,10,12,14,16,18]

the (approximate) 60th percentile is located at position

L 60=(9+1).60/100=6

that is, the sixth data point (the value 12) is at the (approximate) 60th percentile.(Actually, only 55.6% of the data is below a 12.)

3 0

2 years ago