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
g100num [7]
3 years ago
5

K is between P and Q. Suppose PQ- 10x - 16, PK - 6x + 8, and KQ-8. What is PQ?

Mathematics
1 answer:
Alex17521 [72]3 years ago
8 0

Answer:

PQ = 64

Step-by-step explanation:

PQ = PK + KQ

10x - 16 = 6x + 8 + 8

10x - 16 = 6x + 16

4x = 32

x = 8

PQ = 10(8) - 16

     = 80 - 16

     = 64

You might be interested in
Jamal works as an electrician’s apprentice. He rewired 4 electrical outlets in 1 1/2 hours. If he works at the same pace for 7.5
RSB [31]

This can be solve by first solving the proportionality constant

Number electic outlets rewired is directly proportional to time spent

4 = (1 ½)a

Let be the proportionality constant

A = 8/3

O = (8/3)(7.5)

o = 20 outlets will jamal rewired if he works for 7.5 hrs 

6 0
3 years ago
Read 2 more answers
2(3x+2)=2x-1+x solve
alina1380 [7]
First multiply and dstribute
a(b+c)=ab+ac
2(3x+2)=6x+4
6x+4=2x-1+x
add like terms
6x+4=3x-1
subtract 3x from both sides
3x+4=-1
subtract 4 from both sides
3x=-5
divide bothe sides by 3
x=-5/3
7 0
3 years ago
Express f(x) = 3 cos x + 5 sin x as Rsin(x + o), where e<br>is an acute angle in radians.​
Andrews [41]

Answer:

<h2>√34sin(x + 0.33π)</h2>

Step-by-step explanation:

The general form of the equation acosx + bsinx = Rsin(x + e) where R is the resultant of the constants 'a' and 'b' and e is the angle between them.

R = √a²+b²

e = tan^{-1}\frac{b}{a}

Given the function f(x) = 3 cos x + 5 sin x, comparing with the general equation;

a = 3, b = 5

R = √3²+5²

R = √9+25

R =√34

e = tan^{-1} \frac{5}{3} \\e = 59.09^{0}

in radians;

e =\frac{\pi }{180}*59.09\\ e = 0.33\pi rad

3 cos x + 5 sin x = √34sin(x + 0.33π)

4 0
3 years ago
each side of an equilateral triangle measures 32 centimeters, as shown. What is the approximate height h of the triangle?
Neko [114]
32 square root 6
use the pythagoream theorum
the sides would be 32 and 16. 16^2+x^2=32^2

4 0
3 years ago
I need a job please help lol
NeX [460]

Answer:

just say something inspiring and formal

3 0
3 years ago
Read 2 more answers
Other questions:
  • Answer the problem below
    13·2 answers
  • What's the simplified form of x - 1 + 4 + 7x - 3 ?
    11·2 answers
  • Jillian said √25 is irrational because it is a square root. Why is she wrong
    5·2 answers
  • Phileas Fogg was the hero of Jules Verne's adventure novel Around the World in Eighty Days. The distance around the earth is abo
    12·2 answers
  • Suppose that the population of deer in a state is 1500 and is growing 2% each year predict the population after 4 years
    9·2 answers
  • Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line
    13·1 answer
  • What’s the answer to this
    6·1 answer
  • a store sells jump ropes. each jump rope costs the same amount. during a sale, the store reduces the price of each jump rope by
    11·1 answer
  • Reece is setting up a large fish tank. The tank is 1.8metres long and 0.6 metres wide. The water in the tank is 50 cm deep. Reec
    15·1 answer
  • Please help me asap with my grade 11 trigonometry math! I'll give brainliest, please help, thank you. *URGENT*
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!