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
n200080 [17]
3 years ago
13

Given that PS is a median of triangle PQR, find RQ A.6 B.12 C.19 D.38

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0
The median triangle is a line segment that connects the vertex and the midpoint of the opposite side. Therefore, in the given, we can say that RS = QS

Equating RS and QS, we will find the value of X

RS = QS 
5x-11 = 2x+7
5x-2x = 7+11    ⇒ combine like terms
3x = 18             ⇒ divide both sides by 3 to get the x value 
x = 6

Find the value of RS and QS, in this, we will show that two are equal

5(6)-11 = 2(6)+7
19 = 19  ⇒ correct

Therefore RQ is the sum of RS and QS or simply twice the length of either segment

RQ = 19 x 2 = 19 + 19 = 38 (D)
You might be interested in
Checking account A charges a monthly service fee of $12 and a wire transfer fee of $10.50, while checking account B charges a mo
son4ous [18]

Answer:

checking account A is the better deal.

Step-by-step explanation:

A charges a monthly service fee = $12.00

Wire transfer fee = $10.50

B charges a monthly service fee = $21.00

Wire transfer fee = $8.50

If the requirement is four wire transfer per month

A charges for 4 wires = 10.50 × 4 = $42.00

and adding monthly service fees = 42.00  + 12.00 = $54.00

B charges for 4 wires = 8.50 × 4 = $34.00

and adding monthly service fees = 34.00 + 21.00 = $55.00

Therefore A charges less than B, so checking account A is the better deal.

3 0
3 years ago
If y=-4+11 and 3x+y=9 what is the value of y?
liubo4ka [24]

Answer:

y = 7

x = 2/3

Step-by-step explanation:

hope it help

plz follow me

8 0
3 years ago
Read 2 more answers
Please help me up there
Anettt [7]
The answer is 38,400

The scale is 1:40 so the side that is 4 in becomes 160 and the side that is 6 in becomes 240
Multiply 160 and 240 and that is the area of the room

Hope this helps
6 0
3 years ago
Solve.
Ray Of Light [21]

Step-by-step explanation:

let d+e=2 be equation 1

let d-e=4 be equation 2

lets make d the subject in equa 1

d = 2-e equation 3

put equation 3 in 2

2-e=4

e=2-4

e=-2

put e=-2 in equa 1

d-2=2

d=4

e is -2 and d is 4

5 0
3 years ago
Use the factors of the function and the y-intercept to find the standard form of the equation representing Jared’s function. Typ
Georgia [21]

The y-intercept of a function is the point where the graph crosses the \mathbf{y = x^3 + 2x^2 - 193x - 270 }

  • The factors of the Jared's graph are: (x - 10), (x + 3) and (x + 9)
  • The y-intercept is -13.5
  • The standard equation of the function is: \mathbf{y = x^3 + 2x^2 - 193x - 270 }

<u>(a) The factors</u>

First, we write out the points where the function cross the x-axis.

The points are:

\mathbf{x = 10}

\mathbf{x = -3}

\mathbf{x = -9}

Equate the above points to 0

\mathbf{x -10 = 0}

\mathbf{x +3 = 0}

\mathbf{x +9 = 0}

Hence, the factors are: (x - 10), (x + 3) and (x + 9)

<u>(b) The y-intercept</u>

This is the point where the graph crosses the y-axis.

From the attached graph, the graph crosses the y-axis at -13.5.

Hence, the y-intercept is -13.5

<u>(c) The standard form</u>

In (a), we have:

\mathbf{x -10 = 0}

\mathbf{x +3 = 0}

\mathbf{x +9 = 0}

Multiply the above equations

\mathbf{(x - 10) \times (x + 3) \times (x + 9) = 0 \times 0 \times 0}

\mathbf{(x - 10) \times (x + 3) \times (x + 9) = 0 }

Expand

\mathbf{(x - 10) \times (x^2 + 3x + 9x + 27) = 0 }

\mathbf{(x - 10) \times (x^2 + 12x + 27) = 0 }

Expand

\mathbf{x^3 + 12x^2 + 27x - 10x^2 - 220x - 270 = 0 }

Collect like terms

\mathbf{x^3 + 12x^2 - 10x^2+ 27x  - 220x - 270 = 0 }

\mathbf{x^3 + 2x^2 - 193x - 270 = 0 }

Replace 0 with y

\mathbf{y = x^3 + 2x^2 - 193x - 270 }

Hence, the standard form is: \mathbf{y = x^3 + 2x^2 - 193x - 270 }

Read more about graphs and functions at:

brainly.com/question/18806107

3 0
3 years ago
Other questions:
  • URGENT! Complete the equation describing how ex and Y related! Help on the last part please!
    15·1 answer
  • One number is 18 more than three times another number. The difference in the numbers is 54. Find the numbers
    7·1 answer
  • Which expression is equivalent to 2.8k - 8.4
    15·1 answer
  • Often in statistics research, a population is too large to collect data on. A sampling distribution of a statistic is created by
    15·1 answer
  • How do the expressions 72 divided and -72divided by (-9) and compare when they are evaluated?
    5·1 answer
  • Find the measure of one interior angle in a regular 144-gon. Round to the nearest
    15·1 answer
  • Boy Girl
    10·1 answer
  • Tra
    15·2 answers
  • Please help me Find x, y, and z
    7·1 answer
  • PLEASE HELP ILL GIVE BRAINLIEST!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!