What are the coordinates of the point on the directed line segment from (-3, -2) to (4, 8) that partitions the segment into a ratio of 3:2?

Answers

Answer 1

Answer:

Since the ratio is 3:2, you will need to find the x and y coordinates that are 3/5 of the way between (-8,2) and (7,-3)

For the x-coordinate, find the distance between x coordinates (7--8) = 15, take 3/5 of that = 9 and add that to the first x coordinate (-8) to get the x-coordinate of interest (1).

For the y-coordinate, find the distance between y coordinates (-3-2) = -5 take 3/5 of that = -3 and add that to the first y coordinate (2) to get the y-coordinate of interest (-1

So the coordinate of the point is (-2,6)

Step-by-step explanation:


Related Questions

Which equation in point -slope form describes the line that passes through the point (4,-5) and is perpendicular to the line represented by -7x+2y=14.

Answers

Answer:

[tex]y+5=-\frac{2}{7} (x-4)[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where the given point is [tex](x_1,y_1)[/tex] and m is the slopePerpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, 3/4 and -4/3)

1) Determine the slope (m)

[tex]-7x+2y=14[/tex]

First, rearrange this given equation into slope-intercept form ([tex]y=mx+b[/tex]) so we can easily find the slope.

Add 7x to both sides to isolate 2y

[tex]-7x+2y+7x=7x+14\\2y=7x+14[/tex]

Divide both sides by 2 to isolate y

[tex]y=\frac{7}{2} x+7[/tex]

Now, we can identify clearly that the slope of this line is [tex]\frac{7}{2}[/tex]. Because perpendicular lines have slopes that are negative reciprocals, we know that the slope of the line we're currently solving for will have a slope of [tex]-\frac{2}{7}[/tex].

[tex]m=-\frac{2}{7}[/tex]

2) Plug all necessary values into [tex]y-y_1=m(x-x_1)[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

We know that [tex]m=-\frac{2}{7}[/tex] and that the given point is (4,-5). Plug the slope into the equation

[tex]y-y_1=-\frac{2}{7} (x-x_1)[/tex]

Plug the point into the equation

[tex]y-(-5)=-\frac{2}{7} (x-4)\\y+5=-\frac{2}{7} (x-4)[/tex]

I hope this helps!

como serian las dimensiones de un tanque australiano (redondo) que tiene que almacenar 5300 litros de agua?

Answers

Step-by-step explanation:

a thing or situation that is annoying because it is complicated or involves a lot of effort

what’s the answer for this I need help

Answers

Answer:

18 ft^2

Step-by-step explanation:

4 x 4 = 16

4 x 1 = 4

4 / 2 = 2

16 + 2 = 18 ft.^2

Answer:

18 ft²

Step-by-step explanation:

Area of the triangle: [tex]\frac{1}{2}[/tex] (1 × 4) = 2 ft

Area of the square: 4 × 4 = 16 ft

Add up the areas

You get 18 ft²

Which of the following is a subset of the set E which contains all even integers?
A) {4, 10, 22)
B) {2,4,5,8,10}
C) {1,2,3,4}
D) n(E) = 6

Answers

Answer:

A

Step-by-step explanation:

the numbers available in the set is {4,10,22} all are even numbers only.

find the volume of the cone

Answers

Answer:

A≈249.02cm

Step-by-step explanation:

Part A
This year, water usage has increased by 20% for both regular days and special events.
LAST YEAR'S WATER USAGE:
All regular days - 13,505 gallons
Per special event - 18.5 gallons
Total for the year - 13,616 gallons
Write an equation for the total water usage, U, at the park this year in terms of x, the number of special events the park has hosted.

Answers

Answer:

The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x

Step-by-step explanation:

The given parameters are;

The increase in water usage for both regular days and special event for the current year = 20%

The water usage for last year regular days = 13,505 gallons

The water usage per special event = 18.5 gallons

The total water usage = 13,616 gallons

Therefore, we have;

The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons

The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons

The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;

U = 16,206 gallons + x × 22.2 gallons

∴ The total water usage at the park this year, U = 16,206 + 22.2·x

Answer:

U=16,206+22.2 ^. x

Step-by-step explanation:

What is the value of x? Show your work.
Please help

Answers

Answer:

b=5√3

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =10^{2} \\b^{2} =10^{2}-5^{2}\\\\b=5\sqrt{3}[/tex]

pls help me! i’m really confuse on how to tackle this problem (no links)

Answers

Answer:

Step-by-step explanation:

www.564bdyjkthl

In the past, the mean running time for a certain type of flashlight has been 9.2 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. They hypotheses are as follows. Explain a type 2 error.

Answers

Answer:

what are the hypotheses?

Step-by-step explanation:

you said the hypotheses are as folows its not there

what 3 1/2 times 2 3/4

Answers

Answer: 9/4 or 2.25

Step-by-step explanation:?????

Answer: 9/4
Hope this helps :)
Brainliest plzz

During a sale, a shopkeeper reduced the prices of all his goods by 25%.
Calculate the normal selling price of a pair of shoes which was sold for Rs 1350 in the sale.

Answers

Answer:

1800

Step-by-step explanation:

Let y represent the normal selling price

y-y×25/100= 1350

y-y/4= 1350

4y-y/4= 1350

3y/4 = 1350

Cross multiply both sides

3y= 1350×4

3y= 5400

Divide both sides by the coefficient of y whichj is 3

3y/3= 5400/3

y= 1800

Hence the normal selling price is 1800

Hi guys I need help this is exterior angles of a triangle so plz do me a favor 3x+20x+120

Answers

Answer:3x+140

Step-by-step explanation:

Answer:

23x+120

Step-by-step explanation:

3x+20x+120

Combine Like Terms:

=3x+20x+120

=(3x+20x)+(120)

=23x+120

How much should you invest at 4.8% compounded continuously to have $5000 in 2 years?

Answers

Answer:

The total compound interest is $502.74 i think

Step-by-step explanation:

24/5

[tex] \frac{24 \times 5000 }{5 \times100 } = \frac{240 \times 5000}{100} = 240 \times 50 = 12000 =12000 + 240 = 12240 [/tex]

HELP ME WITH THIS PLEASE!! #∆# ~∆~

Find the RATIO and the EXACT VALUE of the given Cot B.​

Answers

Answer:

Step-by-step explanation:

take angle B as reference angle

using cot rule

cot B=adjacent/opposite

cot B=5/12

cot B=0.41

B=cot 67.5

B=67.5 degree

for ratio,

cot B=5/12

Quantitative reasoning l week 2 discussion What is an example of a situation from your professional or personal life that requires you to compare, understand, and make decisions based on quantitative comparison? Be sure to describe the types of quantitative comparisons you had to make, what decisions you made, and why.

Answers

Answer:b

Step-by-step explanation:

Please Help! WIll Give 25 Points And Brainliest!


Please solve the picture below

Answers

Answer: n × n× 6

length time width both = n and hight is 6 so n × n × 6

Step-by-step explanation:

No files!!!
Will give brainliest and please don’t guess

Answers

Answer:

i think its 54. i might be incorrect.

Step-by-step explanation:

Answer:

54º

Step-by-step explanation:

This really cannot be determined because the combined angle is not marked as 90º

let's assume it is 90º

(7x + 12) +(2x + 24) = 90

Combine like terms

9x + 36 = 90

Subtract 36 from both sides

9x = 54

Divide both sides by 9

x = 6

-----------------------

7(6) + 12 = 54º

2(6) + 24 = 36º

54º is the larger angle

what is the area if this triangle? enter your answer as a decimal in the box. round only your final answer to the nearest tenth.

Answers

The answer to your question is 38.6

A blockbuster movie makes about $247,000,000 in the United States during opening weekend. That same weekend another movie opens but only makes about $5,200,000. Question: write each dollar amount in scientific notation PLEASE HELP.

Answers

Answer:

$247,000,000 = 2.47 * 10⁸$5,200,000 = 5.2 * 10⁶

Step-by-step explanation:

Scientific notation allows us to write large numbers in smaller quantity by reducing the number to a figure less than 10 but more than one and then multiplying it by a power of 10 to show its actual size. For instance, 65,000,000 will be written as 6.5 * 10⁷ to represent the total number of digits that it has after the decimal.

$247,000,000:

This would be 2.47 * 10⁸

$5,200,000:

This is 5.2 * 10⁶.

To get to his parents' house, Mateo would have to drive due north 2.1 miles. To get to his grandparents' house, he would have to drive due east 9.6 miles. What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.

Answers

Answer:

The straight-line distance between the parents' and grandparents' houses = 9.83 miles.

Step-by-step explanation:

Given - To get to his parents' house, Mateo would have to drive due north 2.1 miles. To get to his grandparents' house, he would have to drive due east 9.6 miles.

To find - What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.

Solution -

By the given information, the figure becomes -

From the Graph, we can see that,

The side MP = 2.1

The side MG = 9.6

And By using Pythagoreas Theorem, we get

(PG)² = (MG)² + (MP)²

⇒(PG)² = (9.6)² + (2.1)²

⇒(PG)² = 92.16 + 4.41

⇒(PG)² = 96.57

⇒PG = √96.57

⇒PG = 9.827

∴ we get

The straight-line distance between the parents' and grandparents' houses = 9.83 miles.

You flip a coin three times in a row. What is the probability you will get three tails?

Answers

Answer:

50/50

Step-by-step explanation:

Answer:

1/8 because {(T , T , T), (T , T , H),(T , H , T), (T , H , H),(H , H , H),(H , H , T),(H , T , H),(H , T , T)} which has 8 combinations in total so that means 1/8... 8 is denominator because 8 combinations 1 is for each one.


At the pottery class, Lily made a clay mug measuring 6 inches
. She also made a
flower pot, which was 11 times taller than the mug. How tall was the pot?

Answers

Answer:

66 pots

Step-by-step explanation:

The height of flower pot is 66 inches

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Measurement of mug = 6 inches

as, the slower pot is 11 times taller than the mug

=11 * 6

=66 inches.

Hence, the height of flower pot is 66 inches

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Find the circumference of this circle
using 3 for T.
C [?]
34
C = id
HELPPPP

Answers

Step-by-step explanation:

C = 3 × 34

C = 102

Usually it's

C = 3.14 × 34

C = 106.76

This is a more accurate answer but with your question specifically, the answer above is more correct.

127/4 + 62/3 × 24/6 solve this fraction by BODMAS

Answers

Answer:

The correct solution is "114.39".

Step-by-step explanation:

The given expression is:

⇒ [tex]\frac{127}{4} +\frac{62}{3}\times \frac{24}{6}[/tex]

On solving the above expression with the help of BODMAS rule, we get

Firstly we will have to apply division, we get

=  [tex]31.75+20.66\times 4[/tex]

Now we will have to apply multiplication, we get

=  [tex]31.75+82.64[/tex]

On adding, we get

=  [tex]114.39[/tex]

what is the graph of x+y=8 and y=x+6​

Answers

Answer:

(1, 7)

Step-by-step explanation:

By looking at the graph, the solution is (1, 7).

Find the area of the isosceles triangle

Answers

Answer:

Step-by-step explanation:The area of an isosceles triangle is the amount of space enclosed between the sides of the triangle. Besides the general area of the isosceles triangle formula, which is equal to half the product of the base and height of the triangle, different formulas are used to calculate the area of triangles, depending upon their classification based on sides. These different types based on sides are given below:

Equilateral Triangle- A triangle with all sides equal.

Isosceles Triangle- A triangle with any two sides/angles equal.

Scalene Triangle- A triangle with all unequal sides.

To find the area of the triangle you first have to find the height. To do this we are using Pythagoras theorem.

h^2 = 20^2 - 16^2
h = 25.6cm

Then find area using 1/2 x b x h

32/2 x 25.6 = 409.6cm^2

A rectangular is 11 inches long and 8 inches wide. Find its area

Answers

Answer:

The area is 88 square inches.

Step-by-step explanation:

To get the area of a rectangle, you multiply the length and the width.

The length of this rectangle is 11 inches and the width is 8 inches.

11x8=88

Tip: You can multiply by 11s easily if you replace the ones with the number you are multiplying. This only works for numbers up to 9 though.

Example:

11x5=55

11x2=22

hey! i’ll give brainliest please help

Answers

Answer:

conjunction

Step-by-step explanation:

Answer:

Conjunction is correct answer. (I think)

The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing exponentially?

Answers

Answer:

G(x) or at least in the question i hae seen but i do not see your table so just gonoff of what i say below becase it might be f(x)

Step-by-step explanation:

Exponetial funtions are when you have a power of, for example g(x)=1+6x^2

It increases at a rather fast pace because of the power of 2 in this equaion when if it did not have thepower of 2 it would increase at a slower pace

Determine the zero solution
f(x)=3x^(2)+5x-12

Answers

Answer:

x= -3 or 4/3

Step-by-step explanation:

3x²+5x-12 =0

3x²+9x-4x-12=0

3x(x+3) -4(x+3) =0

(3x-4)(x+3)=0

x=-3 or 4/3

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