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
mixas84 [53]
3 years ago
6

The Varners live on a corner lot. Often children cut across their lot to scar walking distance. The diagram to the right represe

nts the corner lot. The children’s path is represented by dashed line. Approximate the walking distance that is saved by cutting across their property instead of walking around the lot. Hypotenuse 34. Short leg x long leg x+12
Mathematics
1 answer:
icang [17]3 years ago
8 0
About 12.56 units. 
Solve for x by plugging in values into Pythagorean theorem.
a^{2} +b^{2} = c^{2}
x^{2} +(x+12)^{2} = 34^{2}
Simplify
2x^{2} + 24x+144 = 1156
Subtract 144 from both sides
2x^{2} + 24x = 1012
divide both sides by 2
x^{2} + 12x = 506
complete the square
x^{2} + 12x + 36 = 506 +36 . = (x+6)^2 = 542
take the square root of both sides.
x+6 = 23.28
subtract by 6 to get  about 17.28 for x.
Plug in values for x to get distance traveled on outside of the yard.
17.28 + (17.28 +12) = 46.56
subtract 34 from the length to get the difference in travel. 46.56-34=12.56

You might be interested in
Write an equation in slope intercept form for the given line. (y=mx+b) pls help
DIA [1.3K]

Answer:

y = -1/2x + 3

Step-by-step explanation:

y = mx + b

The b is the y-intercept or the point where x is 0. According to the given graph, the y-intercept is (0, 3). So, b would equal 3

b = 3

Slope is simply rise over run, so for a simple line graph like this, we can count how many points the line goes up, or down, and right, or left, to reach the next point. According to the given graph, the slope is -2/4 or -1/2.

m = -1/2

plug these into the slope-intercept equation to find the answer

y = -1/2x + 3

8 0
3 years ago
Select the correct answer.<br> What are the solutions of this quadratic equation?<br> 25x^2 + 1 = 0
Llana [10]

Answer:

no solution because the square root of a negative number is not a real number d=-100

4 0
2 years ago
A car dealer earns $100 a week plus 5.5% on all sales. If he sold $57,000 in cars this week, how much did he earn?
Nana76 [90]

Answer:

3235

Step-by-step explanation:

100 for the week plus 3135 which is 5.5% of 57,000

7 0
2 years ago
What is the output when the input is 0
Cloud [144]

Answer:

When the inputs are 1 and 0, the output is zero.

7 0
3 years ago
1.Evaluate: 10 C 2
Alecsey [184]
1.) a
2.) c
3.) b
4.)a
6.)a
7 0
3 years ago
Other questions:
  • enter the correct answer in the box. what is the standard form polynomial representing the volume of this shipping container? 6x
    9·1 answer
  • A. Write the equation of the line that represents the linear approximation to the following function at the given point a.
    11·1 answer
  • A rectangle’s base is 6 cm longer than its height. The rectangle’s area is 135 cm2. Find this rectangle’s dimensions. You must i
    5·1 answer
  • Does choosing a blue marble represent the complement event of choosing a red marble? Explain.
    8·2 answers
  • If f(x)=-5x +2 and g(x)=1/2x +4, find f(g(-6)).
    5·1 answer
  • What is the slope of the line graphed below? (-1,3) (-2,-1)
    7·2 answers
  • Jill wants to find the quotient. Use multiplication and the Distributive Property to help Jill find the quotient.
    7·1 answer
  • James invested $1,475 in an account paying 6.25%
    15·1 answer
  • I need help with this
    12·1 answer
  • Solve 32&gt;2h+6h. Graph the solution.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!