Directed line segment overline FG has endpoints F(4, 9) and G(- 8, - 9) .On the coordinate plane below , plot a point that partitions the directed line segment in a ratio of Point 1/2 Undo Reda x Reset 10 8 7 65 443 2

Answer:

The coordinates of the point that makes the division in the given ratio is (0,3)

Step-by-step explanation:

Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2

We simply use the internal division formula

That would be;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

m = 1 and n = 2

(x1,y1) = (4,9)

(x2,y2) = (-8,-9)

Substituting these values into the formula, we have;

2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)

= (8-8)/3 , (18-9)/3

= (0,3)

A manufacturing plant is capable of producing 10 tons of product per day when it runs three shifts with no breakdowns and plenty of raw materials. Over the past week, the plant has produced an average of 7.3 tons per day because the third shift has devoted much of their time to preventive maintenance. What is the utilization of the plant?

Carlota’s smartphone contains 500 megabytes of data. She uses 300 megabytes for applications and the rest for music. If each song takes an average of 4 megabytes, which equations can be used to find the number of songs on Carlota’s smartphone? Select all that apply. A. 500−300=4n B. 500+300=4n C. 4n+300=500 D. 300−4n=500

Which of the following values for x is true for 4x > 10?
3
O x=
4
O x = 2
O x = 2.5
OX= 3

please help will give brainliest

Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If
Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to
drive before running out of gas?

SOMEONE HELP ME PLSS !

For the trinomial x^2-11x+10 determine if the factors of c will will be both positive, both negative, or opposite signs.

Write an equation in slope-intercept form for the line that has a slope of 12 and passes through the point (3, 20).

Simplify the following expression

3x+4-2x-6

If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point
(2,5)
(-5, -2)
(2,-5)
(-2,5)

Rewrite in simplest terms: -3(-10d+8)+3d−3(−10d+8)+3d

You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for TOTAL DEDUCTIONS for this pay period was $
Blank.

Num. 3 What is the name of the ray shown?

Pls help I’ll give brainliest

Clean123 Inc. performs 1,000 of cleaning services for a customer. After 30 days the computer pays 50% of the invoice with a check. How will this transaction be recorded

PLS HELP MEEEEEEEEEE :(

Please help!!
How do I rewrite this expression into radical form??

James is solving a number puzzle that involves three integers, a, b, and c, where c
is a positive integer. The product of A and B is 6. The product of a and c is – 4.
The product of b and c is -6.



Please help!!!

6 pounds of candy cost $22.44 how much does it cost of 10 pounds

Does anyone the the answer for this ?:)

The perimeter of a college basket ball court is 96 m and the length is 14m
more than the width. What are the dimensions?

PLEASE HELP me!!! can give brainliest!


Joyce would like to invest her money in a savings account. The function A (t) = 900(1.03)^t represents the amount of money joyce will have in her savings account after t years. How long will it take Joyce to have $1200 in her account? Around your answer to the nearest tenth of a year. ( use desmos )

JEJEISHEVEHSUEHRH PLEASE ✋✋✋✋

What is f(1/2)? (1 over 2)

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Craig's Bakery recently spent a total of $311 on new equipment, and their average hourly operating costs are $9. Their average hourly receipts are $10. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?

Which is an irrational number

b ^ 2 - 4b - 14 = 0

Someone pls pls answer this ill mark u brainliest

Solve for x. Look at the image attached thanks.

Solve the system of equations by the substitution method.
y=5x+8 y=8x+9
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.