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
mixas84 [53]
3 years ago
5

If Q is the midpoint of PR, and PQ = 2x + 3 and QR = 3x– 2, find x, PQ, QR, and PR.

Mathematics
1 answer:
leva [86]3 years ago
8 0
Since they tell us that Q is the midpoint you now understand that the line is split evenly.
PQ=QR
 2x+3=3x-2
 2x+5=3x
 x=5.
You might be interested in
If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo
amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

(f \circ g)(x) = f(g(x))

In this case:

f(x) = 4x^2 - 8x - 20

g(x) = 2x + a

So

(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when x = 0, f(g(x)) = 25. So

4a^2 - 8a - 20 = 25

4a^2 - 8a - 45 = 0

Solving a quadratic equation, by Bhaskara:

\Delta = (-8)^2 - 4(4)(-45) = 784

x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5

x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5

The possible values are a = -2.5 or a = 4.5.

5 0
3 years ago
Solve the system of equations <br><br> Y= -7x+3<br> Y= -x -3<br><br> What is X<br> What is Y
Len [333]
The answer is X = 1 and Y = -4.
7 0
2 years ago
-1 + 14x = 12x + 17 Whats the answer ? what is x
Finger [1]

Answer:

x= 9

Step-by-step explanation:

Move the terms -> -1=14x = -12x + 16

Find out the sum -> 2x=17+1

Divide both by the equation by two -> 2x=18 x=9

Final answer: x=9

8 0
3 years ago
Which expression and could you explain
docker41 [41]
I would say d. Hope that helps
4 0
3 years ago
Read 2 more answers
HELP NEEDED ASAP I’m gonna fail math if I don’t get help lol
sergiy2304 [10]

Answer:

I think that -0.0000002 is the least, but I don't know the rest. I hope you can find the rest though. Happy Holidays!

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • PLEEEAAAASSSEE HEEEELLLLPP ME BRAINLIEST ANSWER PLUS 10 PTS!!!!!!!!
    11·2 answers
  • The sum of three consecutive integers is 267. What is the largest integer?
    7·1 answer
  • If x√(1+y) + y√(1+x) = 0 , then dy/dx = ?
    7·1 answer
  • Whats another way to write 300 70 5/10 8/100?
    8·1 answer
  • Two clinical trials were designed to test the effectiveness of laser treatment for acne. Seaton et al. (2003) randomly divided p
    13·1 answer
  • Find x, to the nearest tenth of a centimetre
    8·1 answer
  • Whats the answer to 6/2(1+2)=
    15·2 answers
  • What is the median of the data in this stem-and-leaf plot?
    8·2 answers
  • Evaluate sine, cosine, and tangent for -5pie/6
    14·1 answer
  • Solve the quadratic equation: x^2+ 2x + 7 = 21
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!