Find the distance between the two points in simplest radical form.
(2,7) and (-7,-5)

Answers

Answer 1

Answer:

15

Step-by-step explanation:

Answer 2

Answer:

15

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, 7) and (x₂, y₂ ) = (- 7, - 5)

d = [tex]\sqrt{(-7-2)^2+(-5-7)^2}[/tex]

   = [tex]\sqrt{(-9)^2+(-12)^2}[/tex]

   = [tex]\sqrt{81+144}[/tex]

   = [tex]\sqrt{225}[/tex]

    = 15


Related Questions

Solve the following equation:

(5х + 1) / 2 = 3х​

Answers

x=1
solve for x by simplifying both sides

[tex]\sf\underline\purple{Question}[/tex]

[tex]\longrightarrow\dfrac{5x+1}{2}=3x[/tex]

[tex]\sf\underline\blue{Answer}[/tex]

[tex]\leadsto\dfrac{5x+1}{2}=3x[/tex]

[tex]\leadsto{5x+1=3x×2}[/tex]

[tex]\leadsto{5x+1=6x}[/tex]

[tex]\leadsto{1=6x-5x}[/tex]

[tex]\leadsto{1=1x}[/tex]

[tex]\leadsto{x=}\dfrac{1}{1}=1[/tex]

[tex]\sf\underline\green{Verification:}[/tex]

[tex]\leadsto\dfrac{5x+1}{2}=3x[/tex]

Putting the values,

[tex]\mapsto\dfrac{5×(1)+1}{2}=3×(1)[/tex]

[tex]\mapsto\dfrac{5+1}{2}=3[/tex]

[tex]\mapsto\sf\cancel\dfrac{6}{2}=3[/tex]

[tex]\mapsto\sf{3=3}[/tex]

Hence, our answer is Verified.

PLEASE HELP ASAP 50 POINTS!!!!!

Which equation represents an exponential function with an initial value of 500?

A: f(x) = 100(5)x
B: f(x) = 100(x)5
C: f(x) = 500(2)x
D: f(x) = 500(x)2

Answers

Answer:

the answer is a because all the other ones are multiplying a different number

Answer:

the answer is a because you have to put the x after the five.

Step-by-step explanation:

I did this last year in my math class

Which of the following statements best describes the location of −(−5) on a number line?

It is 5 units to the left of 0.
It is 5 units to the right of 5.
It is 5 units to the left of 5.
It is 5 units to the right of 0.

Answers

Answer:

24 million

Step-by-step explanation:

thank me later

It is 5 units to the right of 0

What is the sum of 3,470 and 988?

Answers

Answer:

are you joking mate? lol

Step-by-step explanation:

4458

Answer:

4458

Step-by-step explanation:

good luck  

What is 25% of 80?
x=2
x=75
x=20

Answers

Answer:

X=20

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

.25 times 80 (of means to multiply)

Which of the following are point-slope equations of the line going through
(-4,-7) and (3, 2)? Check all that apply.
PLEASSSEEE HELP I’VE BEEN STUCK ON THIS FOR A COUPLE OF DAYS .. 15 points

Answers

Answer:

The equations of the line are

y + 7 = [tex]\frac{9}{7}[/tex] (x + 4) ⇒ B

y - 2 = [tex]\frac{9}{7}[/tex] (x - 3) ⇒ E

Step-by-step explanation:

The point-slope form of the linear equation is

[tex]y-y1=m(x-x1)[/tex] , where

m is the slope of the line(x1, y1) is a point on the lineThe rule of the slope is  [tex]m=\frac{y2-y1}{x2-x1}[/tex]

∵ The line passes through points (-4, -7) and (3, 2)

x1 = -4 and y1 = -7

x2 = 3 and y2 = 2

→ Use the rule of the slope above to find it

∵ [tex]m=\frac{2--7}{3--4}=\frac{2+7}{3+4}=\frac{9}{7}[/tex]

The slope of the line is [tex]\frac{9}{7}[/tex]

→ Substitute the values of m and (x1, y1) in the form of the equation above

∵ y - -7 = [tex]\frac{9}{7}[/tex] (x - -4)

∴ y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)

The equation of the line is y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)

→ Substitute the values of m and (x2, y2) in the form of the equation above

∵ y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)

The equation of the line is y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)

→  Look at the answers to find the same equations

Answers B and E have the same equations

What is the solution to log9(6x + 27) ≤ 2?

(–4.5, ∞)
(–4.5, 9]
[–4.5, 9]
(–∞, 9]

Answers

Answer:B (-4.5,9]

That’s the answer I think, honestly we all just trying to pass


The scale factor to dilate Triangle ABC to Triangle DEF is _.

Answers

1/2

If ABC ~ DEF then 12/6, 16/8, and 18/9 would equal 2
BUT since we are going from a large triangle to a small triangle, our answer needs to be less then one, making our answer 1/2

In a class of 40 students, every student take either Biology or Integrated Science, 30 students take Biology, 20 students take Integrated Science and 10 take both Integrated Science and Biology. Illustrate this information on a Venn diagram.​

Answers

Answer

20 students will take biology, 10 take Integrated Science and 10 take both

Step-by-step explanation:

With Venn diagrams it's best you work from the inside out. With that in mind we know 10 students take both Biology and Integrated Science. In Biology there are 30 total students including the ones that also take both sciences. So we subtract the ones that take both and get 20 students taking only biology. After that there's 30 students total, subtract that from 40, the total number of students and you get 10, the amount of students who take Integrated Science

What value of p makes the equation true?
-3p+1/8=-1/4

Answers

Answer:

p= 1/8 or p= 0.125

Step-by-step explanation:

The equation 2x - 4y - 8 models the relationship between x and y. What is the rate of change of y with respect tox?

Answers

Answer:

1/2

Step-by-step explanation:

Given the equation 2x-4y = 8 models the relationship between x and y

The rate of change of y with respect to x is known as the slope of the line.

The standard form of equation of a line is y = mx+c where;

m is the slope

c is the intercept

Rewrite the equation in its standard form as shown:

2x-4y = 8

-4y = -2x+8

-4y/-4 = -2x/-4 + 8/-4

y = 1/2 x -2

On comparison, the slope m is 1/2

Hence the rate of change of y with respect to x is 1/2

Input 1 2 3 4 output -10 14 18 function or not

Answers

Answer:

function

Step-by-step explanation:

no multiplying numbers

What is 33 and 1/3 as a percent?

Answers

Answer:

33 is 33 % of 100 and 1/3 is 33.33 %

Step-by-step explanation:

Hope this helps!!

Answer:

33.3333333333333.........%

Step-by-step explanation:

What is the solution to the inequality below?

−x + 5< 20

Answers

Answer:

x>−15

Step-by-step explanation:

−x+5<20

Step 1: Subtract 5 from both sides.

−x+5−5<20−5

−x<15

Step 2: Divide both sides by -1.

−x

−1

<

15

−1

x>−15

Answer:

x>−15

Answer:

x>-15 would be the answer!

Step-by-step explanation:

In the equality −x + 5< 20, you want x to be by its self. First of all, you'll subtract 5 on both sides so now you will have -x<15. Now, you must get rid of the negative so divide -1 to both sides. Oh, looks like you will have to flip the symbol since you're dividing a negative. In the end, you'll have an answer of x>-15.

Mr. Jamison bought a toaster oven that was originally priced at
$89. He received a 20% discount. What is the sale price of the
toaster oven? PLEASE HELP

Answers

Answer:

The sale price was $71.2

Step-by-step explanation:

Answer:

$71.2

Step-by-step explanation:

Suzanne bought 3.25 pounds of red delicious
apples at a price of $1.32 per pound. How much
did Suzanne spend on the apples?

Answers

Answer:$9.24

Step-by-step explanation:

Answer:

Suzanne spent $4.29 on the apples

Step-by-step explanation:

this is known because you need to add 1.32 three times then add .33 to it which will give you 3.96 + .33 = 4.29

2) There are fourteen shirts in your closet,
seven blue and seven green. You
randomly select one to wear on Monday
and then a different one on Tuesday. You
wear blue shirts both days.

Answers

Answer: 7/14 possibility to get a blue shirt which would be a 50% chance

Step-by-step explanation:

7 blue+7 green = 14 colors

PLZ HELP, 20 points!!!
22. What is the domain of the graph?

23. What is the range of the graph below?
Plzzzz hurry, first AND correct answer gets 20 points!!!

Answers

Answer:

.

Step-by-step explanation:

Answer:

domain: all real numbers

range: y| y is greater than or equal to 5

Simplify negative 4 over 5 ÷ 3 over negative 2.
The answer choices are:
negative 8 over 15
negative 6 over 5
6 over 5
8 over 15

Answers

Answer: 8/15

Step-by-step explanation:

(-4/5) divided by (-3/2) becomes (-4/5) x (-2/3) because when dividing fractions, change it to multiplication and flip the divider (in this case -3/2)

Multiply numerators to get 8 and denominators to get 15 resulting in 8/15

100 = 10 x + 6
One hundred students go to the cafeteria to
eat lunch. Six tables held the same amount of
students while an additional 10 students
stood in line. Which equation can be used to
find the number of students sitting at each
table?
A 100= 10x + 6
B 100 + 6 x= 10
C 10 x - 100 = 10
D 6x + 10 = 100

Answers

Answer:

D

Step-by-step explanation:

6x + 10 = 100

6 times 15 = 90

Add 90 + 10 = 100

Answer:

the answer is d

6x + 10 = 100

Step-by-step explanation:

Given: mZ1= 74

Find the measures of 4, 3, 2, 8, 5, 7, and 6

It would help a lot :D

Answers

2 = 106
3 = 74
4 = 106
5 = 74
6 = 106
7 = 74
8 = 106

scientific notation of 26,00,000 is what ​

Answers

Answer:2.6*10^5

Step-by-step explanation:

1. Suppose you flip a penny 50 times, with 25 tosses landing heads up. What percentage of the tosses would be heads? %​

Answers

Answer:

50%

Step-by-step explanation:

Half of 50 is 25, so when it comes to a percent, half of 100% (50) is 50% (25)

Since i helped so many people, please HELPPPPP NOWWW thnaks

Samuel needs 313 feet of wood to build a fence. The wood comes in lengths of 13 feet.

How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel. How many pieces of wood does Theresa need?

Samuel needs
______pieces of wood.
Theresa needs
_____pieces of wood.

Answers

Answer:

theresa needs 48 pieces and samuel needs 24 pieces

Step-by-step explanation:

the exact answers are 24.07692307692308

48.15384615384615

find the value of x if n(x)=-6x+10 when n(x)=58

Answers

Answer:8

Step-by-step explanation:

6x+10=58

6x=48

X=8

A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags or sand can also be carried by the hot air balloon?

Answers

Answer:

8 sand bags can be carried along.

Step-by-step explanation:

First you want to subtract 300-140. That subtracts the pilots weight giving you the maximum weight capacity left. (160) Then you want to divide 160 (the weight that can be carried) by 20 (the weight of the sand bags) after doing that you will get 8. And that is how i got 8 sand bags as my answer.

Answer:

0, 5, 8

Step-by-step explanation:

I am thinking of a number. Its square root
is an integer. Its cube root is an integer.

Answers

Answer:

You may be thinking about 64

Step-by-step explanation:

64 = 8*8 = (2*2*2) * (2*2*2)

64 = 4*4*4 = (2*2) * (2*2) * (2*2)

Identify the constant proportionality: k=

Answers

Answer:

is there any more info?

Step-by-step explanation:

I don't see any info in order for me to solve this

Consider the statement: 4 − 3 + 5 = −6 + 8 + 4. This is a mathematically
correct sentence.

Answers

Answer:

yes it is true

Step-by-step explanation:

they both equal 6

Answer:

no.

Step-by-step explanation:

4-3+5= -6+8+4

-4 does not equal 6

Addison works at a pet store. She worked less than 40 hours last week.
Create an inequality that represents the number of hours, n, Addison worked last week.

Answers

Answer:

Step-by-step explanation:

Let the number of hours she worked last week be n. If Addison  worked less than 40 hours last week, this is expressed as:

n < 40 here < represents the less than sign. This means that Addison cannot work for any hour that is 40 and greater, she can only work for hours less than 40 e.g 39, 38hr etc.

The correct inequality expression is n< 40

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