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
grigory [225]
3 years ago
6

The shorter leg of a right triangle is 6m shorter than the longer leg. the hypotenuse is 6m longer than the longer leg. find the

side lengths of the triangle.
Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0
Short leg = x-6m
Longer leg =x
Hypotenuse = x+6m

x² + (x-6)² =(x+6)²
x² + x²-12x+36 = x²+12x+36
2x²-12x+36= x² +12x+36
2x²-12x+36-36= x² +12x+36-36
2x² - 12x-12x = x²+12x-12x
2x² -24x-x² = x²-x²
x² -24x = 0
x(x-24)=0
x = 24

Short leg = 24-6m = 18
Longer leg =24
Hypotenuse = 24+6m=30

Check
a² + b² = c²
18² +24² =30²
324 +576 = 900
900=900
You might be interested in
teresa wants to make some cookies the recipe calls for 5 eggs and 10 tablespoons of butter but she only has 3 eggs she needs to
LenKa [72]

Answer:

I think Teresa needs 6 tablespoons of butter..

Step-by-step explanation:

Hope this right...but if it's not,im so sorry

6 0
3 years ago
What is this function written in vertex form? f(x) = (x –1)2 – 7 f(x) = (x 1)2 – 7 f(x) = (x –1)2 – 5 f(x) = (x 1)2 – 5
Maslowich

The vertex form of all expressions is given below.

We have given that the expressions

We have to write the function in vertex form.

<h3>What is the vertex form of the equation?</h3>

The vertex form of a quadratic function is given by f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Therefore the first equation

f(x)=(x-1)^2-7

it can be written as

f(x)=1(x-1)^2+(-7)

The second equation can be written as

f(x) = (x+1)^2 -7

vertex for is,

f(x)=1(x-(-1))^2+(-7)

The third equation is,

f(x) = (x -1)^2 - 5

Vertex form is,

f(x)=1(x-1)^2+(-5)

Forth equation is,

f(x) = (x +1)^2 +(- 5)

Vertex form is,

f(x) =1 (x -(-1))^2 +(- 5)

To learn more about the vertex form visit:

brainly.com/question/17987697

#SPJ1

3 0
2 years ago
Real estate values in a town are increasing at a rate of 9% per year.
mina [271]

Answer:

$887,761.38

Step-by-step explanation:

The principal amount the home is valued is $375,000 and it increases at a rate of 9% a year which is 0.09 and the amount of time it grew is 10 years. Therefore:

A_{final}=375000(1+0.09)^{10}=375000(1.09)^{10}=887761.38

After 10 years the house is worth $887,761.38 if this trend continues

6 0
3 years ago
Read 2 more answers
Roger has the following data: t,2,9,1,4 If the mode is 14, which number could t be? 9 14  ANSWER A KID STRUGGLING
MArishka [77]
The letter t would be 14. the mode is the number that occurs most frequently
7 0
3 years ago
Distance formula for cars coming from perpendicular roads
Serggg [28]
The answer to the question is
6 0
3 years ago
Other questions:
  • 5% of what number is 85?
    13·1 answer
  • 34=2m-8. Solve the equation
    8·2 answers
  • Salaried employees are ______.
    15·2 answers
  • one number is four times another number. the larger number is also 87 more than the smaller number. Find the number
    5·1 answer
  • The amount of radioactive uranium changes with time. The abscissas and ordinates of the points given are the time and amoung of
    7·1 answer
  • Kenya has 2 hours to work a 100 problem math test. At what rate must she work in order to finish in 2 hours?
    14·2 answers
  • A collection of nickels and quarters is worth $2.85. There are three more nickels and quarters. How many nickels and quarters ar
    12·2 answers
  • The camp cook made 1 1/2 pints of baked beans. Each serving of beans is 3/4 of a pint. How many servings of beans did the cook m
    12·2 answers
  • What is corresponding angle? give a definition of it​
    7·2 answers
  • A cyclist travels 64 km during the first 4 hours. Then the cyclist travels 26 km during the two hours. What is the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!