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
zysi [14]
3 years ago
10

39 А В с 9х+7 - 3x+20

Mathematics
1 answer:
matrenka [14]3 years ago
8 0

Answer:

x=2

Step-by-step explanation:

We are given that the length of the line segment AC is 39. We are also given the length segment of AB = 9x+7 and the line segment BC is equivalent to -3x+20.

We also know based off the diagram that AC = AB + BC. We can use substitution to set up an equation:

AB+BC=AC

9x+7-3x+20=39

Combine like terms

6x+27=39

Subtract 27 from both sides

6x=12

Divide both sides by 6 to isolate x

x=2

You might be interested in
All steps for: x/x-2 + x-1/x+1= -1
lorasvet [3.4K]

Answer:

\large\boxed{x=0\ \vee\ x=1}

Step-by-step explanation:

Domain:\\\\x-2\neq0\ \wedge\ x+1\neq0\\\\x\neq2\ \wedge\ x\neq-1\\\\\boxed{D:\ x\in\mathbb{R}-\{-1,\ 2\}}\\\\=============================

\dfrac{x}{x-2}+\dfrac{x-1}{x+1}=-1\qquad\text{subtract}\ \dfrac{x-1}{x+1}\ \text{from both sides}\\\\\dfrac{x}{x-2}=-1-\dfrac{x-1}{x+1}\\\\\dfrac{x}{x-2}=\dfrac{-(x+1)}{x+1}+\dfrac{-(x-1)}{x+1}\\\\\dfrac{x}{x-2}=\dfrac{-(x+1)-(x-1)}{x+1}\\\\\dfrac{x}{x-2}=\dfrac{-x-1-x+1}{x+1}\\\\\dfrac{x}{x-2}=\dfrac{-2x}{x+1}\qquad\text{cross multiply}

x(x+1)=-2x(x-2)\qquad\text{use the distributive property}\\\\(x)(x)+(x)(1)=(-2x)(x)+(-2x)(-2)\\\\x^2+x=-2x^2+4x\qquad\text{add}\ 2x^2\ \text{to both sides}\\\\3x^2+x=4x\qquad\text{subtract 4x from both sides}\\\\3x^2-3x=0\qquad\text{distributive}\\\\3x(x-1)=0\iff 3x=0\ \vee\ x-1=0\\\\x=0\in D\ \vee\ x=1\in D

4 0
3 years ago
Read 2 more answers
What is 0.214 repeating as a fraction
Natalka [10]
214/1000 is this as a fraction
3 0
4 years ago
An insurance policy charges a regular risk premium, , at Years 0,1,2,3,…,9 from today. The policy pays a claim of 2 (i.e. × ) in
victus00 [196]

Answer:

x = 12.29

Step-by-step explanation:

present value of the claim = x² / (1 + 2%)¹⁵ = 0.743x²

present value of the 10 premiums:

x + x/1.02 + x/1.02² + x/1.02³ + x/1.02⁴ + x/1.02⁵ + x/1.02⁶ + x/1.02⁷ + x/1.02⁸ + x/1.02⁹ = x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x = 9.1323x

0.743x² = 9.1323x

x² / x = 9.1323 / 0.743

x = 12.29

4 0
4 years ago
Read 2 more answers
To draw a gragh for y = 2x +5, a person can draw a point at x of 0 and y of _, a second point by going over 1 and ip _, and then
Verdich [7]

Answer: A person can draw a point of x of 0 and y of 5, a second point by going over 1 and up 2, and then draw a line through the points.

Step-by-step explanation:

if x is equal to 0 then y will equal to 5  which in this case will represent the y intercept. And after plotting the point (0,5) you can use the slope and move over or left by 1 and move up by 2 to find the next point.

7 0
3 years ago
Combine like terms 5x - 7y + 2x + 10y + 4
skad [1K]

Answer:

<h3>7x+3y+4</h3>

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • State the Multiplicative identity property of one using the variable b.
    12·1 answer
  • An asteroid has hit the Earth and created a huge crater. Engineers and scientists hove measured around the crater to be 79.5 mil
    6·1 answer
  • Teh width of a rectangle is 2 cm less than 7 times the length. the perimeter is 60 cm. determine the length and the width of the
    14·1 answer
  • What solid figure has 7 vertices?
    13·1 answer
  • Which of the following cannot be used to express the number 8? eight more than zero +8 eight below zero positive eight
    12·2 answers
  • Mason sells life insurance policies. He earns a 12 percent commission on every policy he sells. He made the following sales this
    8·1 answer
  • the price of gas is 93.5 cents per liter. if alfred needs 43.5L of gas to fill his tank ,how much will he pay ?
    8·1 answer
  • Please help me to prove this..​
    14·2 answers
  • Please help with this
    13·2 answers
  • (a) Find the proportion that is less than 2=2.00.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!