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
creativ13 [48]
2 years ago
15

Please help me, I don't know how to do this...

Mathematics
1 answer:
Lunna [17]2 years ago
8 0

Answer:

  A.  5

Step-by-step explanation:

The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.

  (x +1)^2 +x^2 = (√61)^2

  x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses

  2x^2 +2x = 60 . . . . . . .subtract 1, collect terms

  x^2 +x -30 = 0 . . . . . divide by 2, subtract 30

  (x +6)(x -5) = 0 . . . . factor the quadratic

  x = -6 or +5

The solution is x = 5.

_____

Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.

You might be interested in
Lettuce is packed four to a box . If there are 3.5 boxes of Lettuce in the cooler , how many bags of Lettuce would there be
Tanya [424]
3.5 x 4 = 14 lettuces
8 0
3 years ago
The functions f(x) and g(x) are described below: f(x) = 7x + 9 g(x) = 7x −4 The graph of g(x) is obtained by shifting down the g
Slav-nsk [51]
Correct Answer:
Option A

Solution:

f(x) = 7x + 9
g(x) = 7x - 4

We can re-write g(x) as:

g(x) = 7x + 9 - 13

Since 7x+9 is equal to f(x), we can write:

g(x) = f(x) - 13

This relation shows that g(x) is obtained by shifting f(x) 13 units vertically down. So the correct answer is option A.
6 0
4 years ago
What is the explicit formula for the sequence?
Aleksandr [31]

Answer:

a_{n} = n - 2

Step-by-step explanation:

Note the difference between consecutive terms is constant, that is

0 - (- 1) = 0 + 1 = 1

1 - 0 = 1

2 - 1 = 1

3 - 2 = 1

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 1 and d = 1, thus

a_{n} = - 1 + n - 1 = n - 2

7 0
3 years ago
a square with side length s has an area of 324 square centimeters. this equation shows the area of the square: s^2= 324. what is
AveGali [126]
If the square has the side s, and area A=324
then s=√324=18
the side of the square is 18cm
3 0
3 years ago
#3 need help with this math problem please.
kupik [55]

Answer:

undefined

Step-by-step explanation:

f(x) = 2/ (-5x-10)

Let x = -2

f(-2) = 2/ (-5(-2)-10)

         =2/(10-10)

         =2/0

         = undefined

5 0
3 years ago
Other questions:
  • Ines t and w are parallel in the xy-plane. the equation of line t is , and line w passes through . what is the value of the y-in
    6·2 answers
  • What type of transformation takes the graph of f(x) = |x| to the graph of g(x) = 2.5 |x| ?
    7·1 answer
  • Hello i really need help with this as you can see i am kinda dumb
    7·1 answer
  • What is the total cost of a $44.55 meal at a restaurant after including a 17% tip? SHOW WORK!
    13·2 answers
  • The population of a city this year [2018] is 34,500. The population is expected to grow by 2% each year. What will be the popula
    7·1 answer
  • Rose needs to borrow $10,000 from a lender. She wants to keep her interest expense as low as possible. She asks you for advice o
    15·1 answer
  • I need help checking over this​
    12·1 answer
  • Nevaeh is a high school basketball player. How many points would Nevaeh score in a game if she made 2 free throws (worth one poi
    7·2 answers
  • Anya's team won 5 out of every 7 games this season. If the team played 28 games this season, how many games did they win?
    15·2 answers
  • A manufacturing company makes 1,125 items every hour. Which of these statements are true? Check all that apply.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!