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
katen-ka-za [31]
4 years ago
11

Using the distance formula, find the distance between these two points. Round to the nearest tenth. (8,9) and (3,2)

Mathematics
1 answer:
Masja [62]4 years ago
4 0

Answer:

The answer is

<h2>8.6 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8,9) and (3,2)

The distance between them is

d =  \sqrt{( {8 - 3})^{2}  + ( {9 - 2})^{2} }  \\  =  \sqrt{ {5}^{2}  +  {7}^{2} }  \\  =  \sqrt{25 + 49}  \\  =  \sqrt{74}  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \\  = 8.60232...

We have the final answer as

<h3>8.6 units to the nearest tenth</h3>

Hope this helps you

You might be interested in
2 ways to tell if there is a proportional relationship
Rus_ich [418]

Answer:

straight line and line goes through the origin.

Step-by-step explanation:

without a graph, you will need to divide y/x to seeing there is a constant rate or a constant number every time you divide.

5 0
3 years ago
Find the value of c that makes x^2–6x + c a perfect square trinomial and write as a binomial squared.
denpristay [2]

Answer: 9

Step-by-step explanation:

Given

The function is x^2-6x+c

To make it a perfect square, compare it with (a-b)^2=a^2+b^2-2ab

Here,

x=a,\\-6x=-2ab\\\\\therefore b=3

So, c must be square of b i.e. 9

x^2-6x+c\Rightarrow x^2-6x+9\\\Rightarrow (x-3)^2

Therefore, value of c is 9.

3 0
3 years ago
Jim and bill each invest $15,000 into savings accounts that earn 3.5% interest. Jims account earns simple interests and bills ac
Svet_ta [14]

Answer:

Bill will earn more interest

He will earn $ 20,448.67 from his investment

Step-by-step explanation:

Firstly let us calculate Jim's earnings based on simple interest

A = P(1 + rt)

Calculation:

First, converting R percent to r

a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

Solving our equation:

A = 15000(1 + (0.035 × 25)) = 28125

A = $28,125.00

The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 3.5% per year for 25 years is $28,125.00 for Jim

Now let's us calculate bill's investment based on compound interest

Equation

A = P(1 + r)^t

A=15000(1+0.035)^25

A=15000(1.035)^25

A=15000*2.36324498427

A = $ 35,448.67

We see that Bill will earn

$ 20,448.67 from his investment

4 0
3 years ago
Let x=number of cds and y=number of dvds
Elis [28]
X + y = 40.....multiply by -4
4x + 6y = 180
-------------------
-4x - 4y = -160 (result of multiplying by -4)
4x + 6y = 180
------------------add
2y = 20
y = 20/2
y = 10 <===

x = 30

6 0
3 years ago
Which statement is true?
Nadusha1986 [10]

The correct statement is D.

Step-by-step explanation:

Given,

For backyard

Length = 5x-2

Width = 2x+4

For house

Length = 5x-2

Width = 4x-12

For driveway

Length = x+10

Width = 4x-12

To find the correct statement.

Formula

The area of a rectangle = Length × Width

So,

The area of the house and the driveway = (5x-2)(4x-12) + (x+10)(4x-12)

= (4x-12)(5x-2+x+10)

= (4x-12)(6x+8)

=24x^{2} +32x-72x-96

= 24x^{2} -40x-96

So, the correct statement is D

You can cross check the other statements.

5 0
3 years ago
Other questions:
  • What are the coordinates of the midpoint of the line segment with endpoints J(−6, 3) and K(4, −2)
    6·2 answers
  • Solve the equation
    10·1 answer
  • a new obstacle course is home to several new types of challengingobstacles. one such obstacle is traveling a 15 stair case. to m
    13·2 answers
  • A penny is 0.061 inch thick. What is the value of the six in the thickness of a penny
    14·1 answer
  • Brandon bought 21 chicken wings for $39.90. How much would it cost for 15 wings?
    14·1 answer
  • Help! Answer in box is wrong
    15·1 answer
  • The supplement of an angle is four and a half times as large as the complement of the angle. What is the measure of the compleme
    11·2 answers
  • Solve for n.<br> 11 = -3n+ 5
    12·1 answer
  • 118<br> 154<br> 131<br> 112<br> solve for x
    14·1 answer
  • Jorge makes 59.50 an hour for working at a Shoe Store. He wants to buy a skateboard that costs $110,00. How many hours must Jorg
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!