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Ugo [173]
2 years ago
5

Find P on AB that is 2/3 of the distance from A(-3,-5) to B(9,4).

Mathematics
1 answer:
Ludmilka [50]2 years ago
8 0

A line segment can be divided into ratios.

<em>The coordinate of P on line segment AB is (5,1)</em>

Given

A = (-3,-5)

B = (9,4)

The position of P from A to B is:

P_A = \frac 23

So, from P to B would be:

P_B =1 -  \frac 23

P_B = \frac 13

So, the ratio is:

m : n = \frac 23 : \frac 13

Simplify

m : n = 2 :1

<u>The coordinate of point P is:</u>

P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

So, we have:

P = (\frac{2 \times 9 + 1 \times -3}{2 + 1},\frac{2 \times 4 + 1 \times -5}{2 + 1})

P = (\frac{15}{3},\frac{3}{3})

P = (5,1)

<em>Hence, the coordinate of P is (5,1)</em>

Read more about line ratios at:

brainly.com/question/8847082

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Solve and graph: -x+8&lt;6
d1i1m1o1n [39]

Answer:

Following given solution will help you!

3 0
3 years ago
Emily plays on the softball team at her school.The team won 9 of its first 12 games.At that rate how many games will Emily’s tea
KATRIN_1 [288]

Answer:

B

Step-by-step explanation:

B. 48

9/12 must equal the x/64. 64/12 is 5.33333 repeating so multiply 9 x 5.33333 repeating would equal to 48

5 0
3 years ago
A brick of aluminum weighs 19,745 grams and has the following dimensions: length 29 cm, height 15 cm, and width 51 mm. What is t
garri49 [273]

If the volume of the aluminum brick will be 2218.5 cubic cm. Then the approximate density of the aluminum will be 8.9 grams per cubic cm.

<h3>What is density?</h3>

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

Density = mass/volume

A brick of aluminum weighs 19,745 grams and has the following dimensions: length 29 cm, height 15 cm, and width 51 mm.

Then the approximate density of the aluminum will be

The volume of the aluminum brick will be

V = 29 x 15 x 5.1

V = 2218.5 cubic cm

Then the density will be

D = 19,745 / 2218.5

D = 8.900 gram per cubic cm

To learn more about the density refer to the link;

brainly.com/question/952755

#SPJ1

3 0
1 year ago
Find f(3).<br><br> f(x) = x2 + 5x - 9<br> A) 7 <br> B) 10 <br> C) 9 <br> D) 15
Lelechka [254]

Answer:

f(3) = 15. Correct: D)

Explanation:

<u>Numeric Value of a Function</u>

The value of a function f(x) when x = a is calculated by replacing the x for a. We have the function:

f(x)=x^2+5x-9

It is required to find f(3), or the numeric value of f when x=3. Replace x for 3

f(3)=3^2+5(3)-9

f(3)=9+15-9

f(3)=15

A) Incorrect. f(3) is not 7

B) Incorrect. f(3) is not 10

C) Incorrect. f(3) is not 9

D) Correct. f(3) =15 as found above.

4 0
3 years ago
Which additional word or words in the sentence should be capitalized?
balu736 [363]
Hi, the answer to your question is: D. November.



HOPE THIS HELPED! D:




3 0
3 years ago
Read 2 more answers
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