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
boyakko [2]
3 years ago
13

Find the possible values of a if the points with the given coordinates are the indicated distance apart.

Mathematics
1 answer:
sveta [45]3 years ago
4 0

Answer:

Possible values of a =  2.58 and  -6.58.

Step-by-step explanation:

Using the distance formula

√(3- 1)^2 + (-2-a)^2) = 5

(3- 1)^2 + (-2-a)^2 = 25

4 + 4a + a^2 + 4 = 25

a^2  + 4a - 17 = 0

a = [-4 +/- √(4^2 - 4*1*-17) ] / 2

a =  -2 +/- √84 / 2

a =  2.58, -6.58.

You might be interested in
Darling, does anyone want to disappear?​
Galina-37 [17]
YEAH fjgjdofckvjdksvlfkfktnfjcjdido
7 0
3 years ago
I need help with this.
Sloan [31]

9514 1404 393

Answer:

  61.4

Step-by-step explanation:

The length of two semicircles of diameter 10 is the circumference of a circle of that diameter:

  C = πd = 10π ≈ 31.4

The perimeter includes that length plus the lengths of two straight sides that are 15 units each.

  P = 31.4 + 2×15

  P = 61.4 . . . . units

4 0
3 years ago
A group of entomologists has determined that the population of ladybugs at a local park can be modeled by the equation y = − 1.4
Oksanka [162]
<h3>Answer:</h3>

A) 177.568 thousand.

B) 125.836 thousand.

<h3>Step-by-step explanation:</h3>

In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.

Equation we're going to use:

y = -1.437 x + 197.686

We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.

Lets solve the question.

Question A:

We need to find the ladybug population is 2024.

2024 is 14 years after 2010, so our "x" variable will be replaced with 14.

Your equation should look like this:

y = -1.437 (14) + 197.686

Now, we solve.

y = -1.437 (14) + 197.686\\\\\text{Multiply -1.437 and 14}\\\\y=-20.118+197.686\\\\\text{Add}\\\\y=177.568

You should get 177.568

This means that the population of ladybugs in 2024 is 177.568 thousand.

Question B:

We need to find the ladybug population is 2060.

2060 is 50 years after 2010, so the "x" variable would be replaced with 50.

Your equation should look like this:

y = -1.437 (50) + 197.686

Now, we solve.

y = -1.437 (50) + 197.686\\\\\text{Multiply -1.437 and 50}\\\\y=-71.85+197.686\\\\\text{Add}\\\\y=125.836

This means that the population of ladybugs in 2060 would be 125.836 thousand.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
7 0
4 years ago
a cake recipe calls for 2 1/2 cups of sugar. A caterer had 37 3/4 cups of sugar on hand. how many cakes can he make?
Tom [10]

Answer:

Step-by-step explanation:

Set this up as a ratio of number of cakes to cups of sugar, C:S

Then the ratio given is 1:2.5 which says 1 cake takes 2.5 cups of sugar. We want to know how many cakes, x, will be made with 37.75 ups of flour:

\frac{1}{2.5}=\frac{x}{37.75} and cross multiply to solve:

2.5x = 37.75 so

x = 15.1 cakes or just 15 cakes (cuz you can't make one-tenth of a cake!)

5 0
3 years ago
15 x 15 x 15 x 15 = 15E The raised letter E stands for an exponent
Pie

Answer:

15e4

Step-by-step explanation:

I can not raise the exponent but there is 4, 15 being multiplied together and all you do is add how many of the same numbers are being multiplied together.

7 0
3 years ago
Other questions:
  • Type the domain and range values for the corresponding variables that make these relations inverses of each other. a = b = c = d
    7·1 answer
  • Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference o
    11·1 answer
  • How is 0.025¯¯¯¯ written as a fraction in simplest form? Enter your answer in the box. The dash is above the 25, thanks in advan
    13·2 answers
  • What is the wave speed of a wave that has a frequency of 200 Hz and a wavelength of 0.40 m?
    5·2 answers
  • Last year Anthony earned $24,000. After a brief lay-off this year, Anthony's income is $18,500.
    5·1 answer
  • Find and explain the error in the division problem below.
    8·2 answers
  • Need help with this question ​
    7·1 answer
  • A piece of land was worth $63,710.1 last year. This year, the cost of land has increased by 12%. How much is the land worth now?
    13·1 answer
  • Let me know if this is 160 sheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeesh this food bussin bussin
    6·1 answer
  • B 13.5 cm 9 cm A 15 cm 12 cm 18 cm what is the value of x?<br>​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!