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
vazorg [7]
3 years ago
10

What is the length of line PS

Mathematics
1 answer:
stiks02 [169]3 years ago
4 0
PQ^2 = PR \times PS

(4x + 4)^2 = (3x + 3)(3x + 3 + 21)

16x^2 + 32x + 16= (3x + 3)(3x + 24)

16x^2 + 32x + 16= 9x^2 + 81x + 72

7x^2 - 49x- 56 = 0

7(x^2 - 7x - 8)= 0

(x - 8)(x + 1) = 0

x - 8 = 0~~~or~~~x + 1 = 0

x = 8~~~or~~~x = -1

x = -1 makes the lengths of segments PQ and PR equal zero.
That is not possible, so the solution x = -1 is discarded.

x = 8

PS = 3x + 3 + 21

PS = 3x + 24

PS = 3(8) + 24

PS = 24 + 24

PS = 48
You might be interested in
which of the following is the equation of a line parallel to the line y = -x + 1, passing through the point (4,1)
fomenos

Answer:

A. x + y = 5

Step-by-step explanation:

The slope of the equation is equal for parallel lines,

; Slope = (-1)

;Use the formula

(y - y(coordinate of the given point)) = slope × [(x - x(coordinate of the given point)]

; y - 1 = (-1)(x - 4)

; y - 1 = -x + 4...then move the variable (x) to the left hand side and then move (-1) to the right hand side

; x + y = 4 + 1

; Hence,

; x + y = 5

4 0
3 years ago
Can anyone do the top problem for me?
kolezko [41]

Answer:

C

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
When a number is divided by 5, it has a remainder of 4.
Alexxx [7]

Answer:

37

Step-by-step explanation:

I plugged in the numbers between 35 and 40 and got this. No problem. :)

7 0
2 years ago
These are the answer and the page it will help you solving it.
goldenfox [79]
You x all the sides together and add the 2 numbers you get 
6 0
3 years ago
Which expression is equivalent to 4 (9 + 7)
Bad White [126]

4(9+7) = 36+28 = 64

open the parentheses, then simplify.

8 0
2 years ago
Other questions:
  • What is the sum of 93+(68+7) using
    9·2 answers
  • What are some examples of how you have used, or could use, algebraic equations to solve problems in your everyday life?
    6·1 answer
  • How to solve .5x+y=5
    14·1 answer
  • Plot the points 0,2 and1,4
    13·1 answer
  • Form a third degree polynomial function with real coefficients such that 8+i and 7 are zeros.
    15·1 answer
  • Which is the best way to solve the equation ? square root of x = m?
    9·2 answers
  • Someone plz help meh:)))
    11·1 answer
  • Identify the figure and denote it by its appropriate symbol
    10·1 answer
  • Suppose a normal distribution has a mean of 62 and a standard deviation of
    8·1 answer
  • Read the screenshot thanks
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!