1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
koban [17]
3 years ago
9

Given points A (-3,-4) and B (2,0), points P (-1,-12/5) partitions line AB in the ratio

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&A&(~ -3 &,& -4~) 
&P&(~ -1 &,& -\frac{12}{5}~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AP=\sqrt{[-1-(-3)]^2+[-\frac{12}{5}-(-4)]^2}
\\\\\\
AP=\sqrt{(-1+3)^2+(-\frac{12}{5}+4)^2}\implies AP=\sqrt{2^2+\left( \frac{8}{5} \right)^2}
\\\\\\
AP=\sqrt{4+\frac{64}{25}}\implies AP=\sqrt{\cfrac{164}{25}}\implies AP=\cfrac{\sqrt{164}}{\sqrt{25}}
\\\\\\
\boxed{AP=\cfrac{2\sqrt{41}}{5}}



\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&P&(~ -1 &,& -\frac{12}{5}~) 
&B&(~ 2 &,& 0~)
\end{array}
\\\\\\
PB=\sqrt{[2-(-1)]^2+[0-\left(-\frac{12}{5}  \right)]^2}
\\\\\\
PB=\sqrt{(2+1)^2+\left( \frac{12}{5} \right)^2}\implies PB=\sqrt{9+\frac{144}{25}}\implies PB=\sqrt{\cfrac{369}{25}}
\\\\\\
PB=\cfrac{\sqrt{369}}{\sqrt{25}}\implies \boxed{PB=\cfrac{3\sqrt{41}}{5}}

so, let's check the ratio of AP:PB

\bf AP:PB\implies \cfrac{AP}{PB}\implies \cfrac{\frac{2\sqrt{41}}{5}}{\frac{3\sqrt{41}}{5}}\implies \cfrac{2\underline{\sqrt{41}}}{\underline{5}}\cdot \cfrac{\underline{5}}{3\underline{\sqrt{41}}}\implies \cfrac{2}{3}
You might be interested in
Please help me with this question
RSB [31]

Answer:

1. complex fraction Ex: 1/4/3- one fourth over 3 if that makes more sense

2. terminating decimal Ex: 0.5

3. additive inverse Ex: -14+14= 0

8 0
3 years ago
What is 5/7 of 14.7 kg plz helppp
eimsori [14]

Answer: i'm pretty sure the answer is 10.5

Step-by-step explanation: <em>i multiplied 5/7 by 14.7 </em>

I'm sorry if this is wrong but if it's right i need brainliest to rank up so please mark me brainliest:)

5 0
3 years ago
Read 2 more answers
How do you solve this?
nalin [4]
So u have to add all the sides up.
which will give you 6 + 6√3 + 6 +6√3
because their opposite and parallel lengths and widths are equal
that gives you 12 + 12√3
so ans is 12m + 12√3m
7 0
3 years ago
0.13391963118/17(3.78)
erma4kov [3.2K]

Answer:

Simplify the expression.

0.02977742

Step-by-step explanation:

i think i hope its right

7 0
2 years ago
Zack, Rachel, and Maddie are unraveling a huge ball of yarn to see how long it is. As they move away from each other, they form
Korolek [52]
We are tasked to solve the three angles given that we have the measurements of the sides such as
a = Zack to Rachel distance
b = Rachel to Maddie distance
c = Maddie to Zack distance

a =3
b =2.5
c =4

Solving the angles we need to use Law of Cosines:
cos A = 2.5² + 4² -3² /2*2.5*4
A = 48.59°

cos B=3² + 4² - 2.5² / 2*3*4
B = 38.625°

C=180 - 48.59° - 38.625°
C= 92.79°

The three angles are 48.59°,38.63° and 92.79°. 
8 0
3 years ago
Other questions:
  • Select all that apply.
    5·1 answer
  • PLEASE HELP!!! <br>Evaluate the expression when b=4 and y= -3<br>-b+2y
    11·2 answers
  • What is x? ............​
    13·1 answer
  • Building is 10 centimeters tall , actual building is 3 meters tall , <br> What was the scale used?
    12·1 answer
  • Suppose y varies jointly as x and z. Find y when x = 2 and z = 11, if y = 160 when x = 3 and z = 8. Round your answer to the nea
    7·1 answer
  • 7.
    15·2 answers
  • The sum of three numbers is 15 the second number is 2 times the first the 3rd nimber is 30 less than the second what is the thir
    15·1 answer
  • 6. Use the protractor to measure this<br> angle: m
    6·1 answer
  • PLS HELP ME OR ILL ME PLS :_:::::
    7·2 answers
  • Which of the following quadratics has a minimum?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!