answer.
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
7nadin3 [17]
2 years ago
11

Point A has coordinates (7,2). Point B has coordinates (2,-10). Find the coordinates of point P that partition AB in the ratio o

f 5:1

Mathematics
2 answers:
aleksklad [387]2 years ago
4 0
You have to use section formula for internal division.

garik1379 [7]2 years ago
4 0

Answer:

(\frac{17}{6},-8).

Step-by-step explanation:

We have been given that point A has coordinates (7,2). Point B has coordinates (2,-10). We are asked to find the coordinates of point P that partition AB in the ratio of 5:1.

We will use segment formula to solve our given problem.

When a point M divides a segment internally in ratio m:n, the coordinates of point M are:

[x=\frac{mx_2+nx_1}{m+n},y=\frac{my_2+ny_1}{m+n}]

[x=\frac{5*2+1*7}{5+1},y=\frac{5*(-10)+1*2}{5+1}]

[x=\frac{10+7}{6},y=\frac{-50+2}{6}]

[x=\frac{17}{6},y=\frac{-48}{6}]

[x=\frac{17}{6},y=-8]

Therefore, the coordinates of point P would be (\frac{17}{6},-8).

You might be interested in
Using the graph below, find values for the radius r, the angle theta (in both degrees and radians), and the coordinates for the
Leto [7]
<span>if we take the centre of the circle as being the origin, we can say that
 
x coordinate is :cos o = x/r so x
                                   = r cos o
</span><span>
and

y coordinate : cos(90-teta)= y/r
so y=r*cos(90-teta)
</span><span>
if teta is 29 degrees
y=r*cos(61)
and
x = r * cos(29)</span>
4 0
2 years ago
Find a122 of the sequence 5, 8, 11
ruslelena [56]
5, 8, 11, ... is an arithmetic sequence where:

a_1=5;\ a_2=8;\ d=8-5=3\\\\a_n=a_1+(n-1)d\to a_n=5+(n-1)\cdot3=5+3n-3=2+3n\\\\therefore\\\\a_{122}=2+3\cdot122=2+366=368
8 0
2 years ago
To complete her holiday wrapping, Bella needs identical strips of ribbon measuring 3.5 feet each. She has 85 feet of ribbon in t
MA_775_DIABLO [31]

Bella can cut 24 pieces of ribbon from this long strip

<u>Solution:</u>

Given that Bella has 85 feet of ribbons in total

She needs identical strips of ribbon measuring 3.5 feet each

To find: Number of peices of ribbon can she cut from long strip

Number of peices of ribbon can she cut from long strip can be calculated by dividing the total feet of ribbon she has by length of identical strips she needs

<em><u>Mathematically written as:</u></em>

\text { Number of Strip that can be cut }=\frac{\text { Total length of ribbon }}{\text { Length of each piece }}

\begin{array}{l}{\text { Number of Strip that can be cut }=\frac{85}{3.5}} \\\\ {\text { Number of Strip that can be cut }=24.28 \approx 24}\end{array}

Hence , the number of strip can be 24 each of size 3.5 feet

6 0
2 years ago
Josh has $500 in his savings account. He deposits $25 into his savings account each month. He purchased home theater equipment f
zzz [600]

Answer:

  B. 10 months

Step-by-step explanation:

The balance on the loan will be ...

  b = 1600 - 80t . . . . . . where t is the number of months of payments

The balance in the savings account will be ...

  s = 500 + 25t

The savings account balance will be at least as much as the loan balance when ...

  s ≥ b

  500 +25t ≥ 1600 -80t . . . substitute the account balance expressions

  105t ≥ 1100 . . . . . . . . . . . . add 80t -500

  t ≥ 1100/105 ≈ 10.48 ≈ 10

It will take Josh 10 months to have enough savings to pay the loan in full.

_____

<em>Comment on rounding</em>

IMO, it makes no sense to round down, as Josh will NOT have enough in 10 months. He will have enough after he makes one more payment of $80. At 10 months, the loan balance is $50 more than the savings balance. It will be 11 months before there is enough savings to pay off the loan.

4 0
2 years ago
This semester, the tuition fee increased to $5,871. If this represents an increase by 14%, what was the original fee?
MissTica
Use a calculator its easy
7 0
2 years ago
Other questions:
  • If you have 60 million barrels and you have 14% kerosene and 34% gasoline what is the total production of gasoline and kerosene
    8·2 answers
  • If m∠1 = 50, then m∠5 =
    14·1 answer
  • The law of cosines is a^2+b^2-2abcosC=c^2. Find the value of 2abcosC.
    13·2 answers
  • Herbert plans to use the earnings from his lemonade stand according to the table above, for the first month of operations. If he
    15·2 answers
  • Luiza delivers newspapers in her neighborhood. If you plot the points (−1, 1), (4, 1), (4, −2) and (−1, −2), you will create a r
    13·2 answers
  • your grades on tests 1 2 and 4 are 82 76 and 90. unfortunately you cut the third test and received a 0. If you have one test lef
    6·1 answer
  • (a) What is a sequence? A sequence is an unordered list of numbers. A sequence is the sum of an ordered list of numbers. A seque
    9·1 answer
  • The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFract
    6·2 answers
  • Craig has $1850 dollars in a bank account that he uses to make automatic payments of $400.73 on his car loan. If Craig stops mak
    5·1 answer
  • You employ 21 people making an average of $49,000 per year. You want to give every employee a 5% increase for next year. What wi
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!