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
Lorico [155]
3 years ago
6

AC=x+14

Mathematics
1 answer:
Sonbull [250]3 years ago
8 0

Answer:

x = - 4

Step-by-step explanation:

AB + BC = AC

8 + (2x + 10) = x + 14

2x + 18 = x + 14

x = - 4

You might be interested in
A rectangular playground is 10m longer than it is wide.The area of the playground is 1400m² Calculate the width and length of th
Bezzdna [24]

Answer:

1400 = x(x+10)= x^2 +10x

We can rewrite this expression like this:

x^2 +10 x -1400 =0

And we can use the quadratic formula given by:

x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}

Where a =1 , b=10 , c= -1400

And replacing we got:

x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}

And solving we got:

x_1 =32.75 , x_2 = -42.75

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75

Step-by-step explanation:

For this case we know that we have a rectangular playground and the area can be founded with this formula:

A = xy

Where x represent the width and y the length. From the problem we know that A =1400 m^2 and the heigth is 10m longer than the wide so we can write this condition as:

y = 10 +x

And replacing this formula into the area we got:

1400 = x(x+10)= x^2 +10x

We can rewrite this expression like this:

x^2 +10 x -1400 =0

And we can use the quadratic formula given by:

x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}

Where a =1 , b=10 , c= -1400

And replacing we got:

x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}

And solving we got:

x_1 =32.75 , x_2 = -42.75

And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75

8 0
3 years ago
Read 2 more answers
Pls help with both 19 and 20 I’ll mark brainliest, show how you set up the problems
belka [17]
<h2>Answer:</h2>

<u>Question 19:</u>

Option A:

40 x 19 = 760

Option B:

A: 9,500 x 8 = 76,000

    76,000 ÷ 100 = 760

B: 4,750 x 8 = 38,000

   38,000 ÷ 100 = 380

C: 760 x 8 = 6,080

   6,080 ÷ 100 = 60.8

D: 320 x 8 = 2,560

   2,560 ÷ 100 = 25.6

<em>Answer:</em> $9,500

<u>Question 20:</u>

5.5 x 30 = 165

165 ÷ 100 = 1.65

1.65 + 5.5 = 7.15

Commission: 7.15%

382,000 x 7.15 = 2,731,300

2,731,300 ÷ 100 = 27,313

<em>Answer:</em> The agent earns $27,313 in commissions.

4 0
3 years ago
Yuri has 2/7 of a bag of carrots if she eats half of the carrots what fraction of the bag of carrots will she have left
aleksandr82 [10.1K]

Answer:

It would be <u>1/7</u>

Because since it’s 2/7, half of 2 is one

3 0
3 years ago
At a prize of Rs. 10 per unit the demand of a commodity is 200 units. Its prize elasticity of demand is (-)1×5. At what prize wi
Triss [41]

250 units would be demanded when price is $11.67.

<h3>What is price elasticity of demand?</h3>

Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

<h3>What is the price?</h3>

Percentage change in the quantity demanded = (250 / 200) - 1 = 25%

Percentage change in price = 25% / 1.5 = 16.67

Price = (1 + 0.1667) x 10 = 11.67

To learn more about price elasticity of demand, please check: brainly.com/question/18850846

8 0
3 years ago
Read 2 more answers
What is the image of (3,9) after a dilation by a scale factor of 3 centered at the origin
Sav [38]

Answer:

(9, 27 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply each of the coordinates of the original point by the scale factor of 3

(3, 9 ) → (3(3), 3(9)) → (9, 27 )

7 0
4 years ago
Read 2 more answers
Other questions:
  • A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of
    7·1 answer
  • To convert from square miles to square feet,what operation will you use
    14·1 answer
  • Can you show me how to do the problem pleaseq
    5·2 answers
  • Help Please I'll give a brainliest for the right answer!
    8·2 answers
  • Triangle abc is inscribed in circle j. what is the measure in degrees of angle b?
    7·1 answer
  • Cameron wants to measure a poster frame, but he only has a sheet of paper that is 8 1/2 b 11 inches
    12·2 answers
  • What is the formula to find the depth of a cube
    13·1 answer
  • I need the answer very quick please dont put any links
    13·1 answer
  • How do I do this number 5 and 6
    5·1 answer
  • 5x-3(x-2)-x show your work
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!