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
n200080 [17]
3 years ago
14

Find the values of y for which the distance between the point p2,-3 and q 10, y is 10 units

Mathematics
1 answer:
lina2011 [118]3 years ago
7 0

Answer:

y = - 9, y = 3

Step-by-step explanation:

Calculate distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)

d = \sqrt{(10-2)^2+(y+3)^2}

   = \sqrt{8^2+(y+3)^2}

Given distance between points is 10, then

\sqrt{64 +(y+3)^2} = 10 ( square both sides )

64 + (y + 3)² = 100 ( subtract 64 from both sides )

(y + 3)² = 36 ( take the square root of both sides )

y + 3 = ± \sqrt{36} = ± 6 ( subtract 3 from both sides )

y = - 3 ± 6 , thus

y = - 3 - 6 = - 9

y = - 3 + 6 = 3

You might be interested in
Question1) Describe three scenarios that involve a real-world linear or exponential function. At least one must be exponential.
elixir [45]

Answer:

1) Let's suppose that you go in a straight line, in a car that moves at a constant speed of 80km/h.

Then the distance from your house (assuming that you start the drive in your house) can be modeled with a linear equation:

D(t) = 80km/h*t

where t is time in hours.

This will be a linear function.

2) Suppose that you have a population of some animal, that grows by 2% each month, and initially, there are 100 individuals of that animal.

Then the first month, the population is 100.

The second month the population increased by a 2%, then it will be:

100 + 100*0.02 = 100*(1.02)

The third month, the population will be 100*(1.02) + 0.2*100*(1.02) = 100*(1.02)^2.

and so on, this is an exponential relation, where the population as a function of the number of months, can be written as:

P(m) = 100*(1.02)^(m - 1)

3) Suppose that you have $100 saved, and each month you can save another $80, let's find a function that says the amount of money that you have saved as a function of the number of months. S(m)

The month number zero (before you started saving) you had $100 saved.

S(0) = $100.

One month after, you have saved $80 more, then you have:

S(1) = $100 + $80

Another month after, you have:

S(2) = $100 + $80 + $80 = $100 + 2*$80

And so on, you already can see the pattern, after m months, you will have:

S(m) = $100 + m*$80 saved.

5 0
2 years ago
COS Find the quotient when the polynomial expression is divided by a binomial Find the quotient ANSWER SOLUTION CHOICES X2+11x+
ryzh [129]

Answer:

x=−1 or x=−9

Step-by-step explanation:

x2+11x+10=x+1

Step 1: Subtract x+1 from both sides.

x2+11x+10−(x+1)=x+1−(x+1)

x2+10x+9=0

Step 2: Factor left side of equation.

(x+1)(x+9)=0

Step 3: Set factors equal to 0.

x+1=0 or x+9=0

x=−1 or x=−9

8 0
2 years ago
Select all that apply.
Svetach [21]
I believe the correct answer from the choices listed above is option B. Mixtures are not given chemical formulas because no chemical bonding took place between the components in the mixture such as sugar in water. Sugar in water still remains to be sugar, its properties are the same but only it is dissolved in water.
8 0
2 years ago
Read 2 more answers
25 is 55% of what number
mart [117]

Answer:

45.45

Step-by-step explanation:

25 is 55% of What Number? - 25 is 55% of 45.45. 100% of 45.45 is 45.45, therefore 55 percent of 45.45 equals 25.

5 0
2 years ago
Read 2 more answers
2.1 , - 6/10 , -9/4 , -0.75 , 5/3 , least to greatest
WINSTONCH [101]

Answer:

-9/4, -0.75, -6/10, 5/3, 2.1

Step-by-step explanation:

This is a lot easier to figure out if you simplify the fractions and then change them to decimals

So -9/4 = -2 1/4 or -2.25

-0.75

-6/10 = -0.60

5/3 = 1 2/3 or 1.67

2.1

When you are ordering negatives, the biggest negative is the least. That is why -9/4 (-2.25) is the least number out of the five given.

The next one would be -0.75, because it is the second biggest negative fraction.

The next one is -0.60 because that is the 3rd biggest negative fraction (or the smallest because this is the last negative)

Now, because we're in the positives we start with 1.67, because it is smaller than the other number.

2.1 is our last number, so it is the greatest!

I hope this helped :)

6 0
3 years ago
Other questions:
  • The sum of 3 consecutive integers is 72. What are the integers?
    13·2 answers
  • The customer who purchased the items for 37.85 started out with 52.02 in his pocket. He decided to use his leftover money to buy
    13·2 answers
  • Your digital camera has a 512 megabyte memory card. You take low resolution pictures requiring 4 megabytes of memory each and hi
    7·1 answer
  • Two students, Ann and Max, factored the trinomial 4x2 − 6x − 4. Ann factored it as 2(x − 2)(2x + 1) and Max factored it as (x −
    12·1 answer
  • Y=6/5x+9 in standard form
    13·1 answer
  • What is the product?<br> (y^2+3y+7][8y^2+y+1)
    14·1 answer
  • What is 3 4/5 + 10 9/8? <br> Plz hurry Brainliest
    13·1 answer
  • I am having problems with this problem.
    8·1 answer
  • ..........................................................................................................
    5·1 answer
  • Write in terms of inequalities: (-13,4]
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!