What is the distance between (9,-4) and (-22, 8)?

Answers

Answer 1

Answer:

≈ 33.2 units

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 ) = (9, - 4) and (x₂, y₂ ) = (- 22, 8)

d = [tex]\sqrt{(-22-9)^2+(8+4)^2}[/tex]

   = [tex]\sqrt{(-31)^2+12^2}[/tex]

   = [tex]\sqrt{961+144}[/tex]

    = [tex]\sqrt{1105}[/tex] ≈ 33.2 ( to 1 dec. place )


Related Questions

which of the following functions is graphed below?

Answers

Step-by-step explanation:

For y = x^3 - 4 when x = 0, y = -4.

For y = x^2 + 3 when x = 0, y = 3.

Looking at the graph, the y-intercept of the function is below 0. Hence the bottom part is from x^3 - 4 and the top is from x^2 + 3.

The bottom part has a dark circle, which means when x = 1 it belongs to x^3 - 4.

Hence the answer is D.

One bag of lawn fertilizer can cover approximately 5,000 square feet. Mike’s lawn is about 500 square feet. When Mike applies fertilizer to his lawn, he applies it to 3/4 of his lawn only. Question: Part B: Mike fertilizes his lawn an average of 4 times per year. About how many full years will he be able to fertilize his lawn with one bag of fertilizer? Write your answer in the space provided.

Answers

5,000 - bag of fertilizer
500 - Mike’s lawn
3/4 - applied fertilizer
4 - frequency in 1 year

(500 x 3/4 )x 4
(1500 / 4 ) x 4
1500 sqm / yr

5,000 sqm / 1500sqm/yr
3.33 yr

He will be able to fertilize it in 3 full years

PLLZZZ HELP!!!! I WILL MARK U AS BRAINLIEST! Why is it helpful to break down the total amount you would need to save on a monthly, weekly, or daily basis?

Answers

I think that it’s really important to break down the numbers because if gives you an idea of what to spend and what not to spend. Having a clear picture what money to save and what you can get away with spending is a good thing to do. It allows you to visually see how much of a limit to your spendings you need.

carl wrote 3 numbers between 0.63 and 0.64 what number could carl have written?

Answers

Three examples are 0.631, 0.632, 0.633.

The three numbers between 0.63 and 0.64 will be 0.6325, 0.6350, and 0.6375.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The number between 0.63 and 0.64 is calculated as,

⇒ (0.63 + 0.64) / 2

⇒ 0.635

The number between 0.63 and 0.635 is calculated as,

⇒ (0.63 + 0.635) / 2

⇒ 0.6325

The number between 0.635 and 0.64 is calculated as,

⇒ (0.635 + 0.64) / 2

⇒ 0.6375

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ3

HEEEEEELP!!!!!!! MATHHHH!!!!

Answers

L=(2,4) M= (3,1) N=(-2,1)

The measure of an angle is 3°. What is the measure of its complementary angle?

Answers

Answer:

87°

Step-by-step explanation:

if an angle is complementary that means that equals 90°.

and we know one part of the angles, so then we take 90° - 3° and we get 87°.

Answer:

The measure of its complementary angle is 87°

Step-by-step explanation:

We know this because the sum of two complementary angles is always equal to 90°, so:

90 - 3 = 87

Therefore, your final answer will be 87°

find the real numbers x and y that make the equation true (5-2i)-7=x-(3-yi)​

Answers

Answer:

x=1   and  y=-2

Step-by-step explanation:

5-2i-7=-2-2i

x-(3-yi)=x-3+yi

we write this equation   -2 - 2i = (x-3)  +yi

so -2=x-3                  and       -2i=yi    

    +3      +3                               :i    :i

    1=x                                         -2= y

so x=1      and   y= -2

HELP ME PLZ ! Solve for x

Answers

Answer:

X equal to 8

Step-by-step explanation:

Three times eleven

Thirty three minus one

Thirty two divide by four

Answer: x=8

Step-by-step explanation:

Given

[tex]\frac{4x+1}{3} =11[/tex]

Multiply 3 on both sides (multiplication property of equality)

[tex]\frac{4x+1}{3} *3=11*3[/tex]

[tex]4x+1=33[/tex]

Subtract 3 on both sides (subtraction property of equality)

[tex]4x+1-1=33-1[/tex]

[tex]4x=32[/tex]

Divide 4 on both sides (division property of equality)

[tex]4/4 x= 32/4[/tex]

[tex]x=8[/tex]

Write an integer for the situation. 15 degrees below normal

Answers

Answer:

It's -15 than normal

Yo can someone help me out

Answers

Answer: d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The amount of tickets p is more or equal to 18

Please help! Solve for x: 24+37+2x=76

Answers

Answer: X= 7.5

Step-by-step explanation:

You have to add the like terms 24+37 which gives you 61. Then subtract 76-61 which is 15. Then divide 15/2 which is 7.5

write 100% as a decimal and as a fraction
middle school not high school.
9/3/20 ↑

Answers

Answer:

1.0 and 1/1

Step-by-step explanation:

Answer:

decimal : 1

fraction :  1

Step-by-step explanation:

Percentage is always out of 100

100%

to convert from percentage to a fraction, you just put 100 and the bottom of that number;

[tex]\frac{100}{100}[/tex] ; this is equal to 1

to convert percentages to a decimal, we divide by 100;

100 ÷ 100 = 1

A tree of 14mheight is broken by the wind so that it's top touches the ground. Find the length of broken part of the tree.

Answers

Answer:

7 m

Step-by-step explanation:

As the question is given, the tree is broken from the middle and the length of the broken part is:

14 m /2 = 7 m

So it is 7 m

(Giving branliest) What is 20x+10x-5y

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{5(6x - y)}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{20x + 10x - 5y}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{30x - 5y}}[/tex]

Take 5 as common

[tex] \dashrightarrow{ \sf{5(6x - y)}}[/tex]

Hope I helped!

Best regards! :D

Answer:

30x-5y

Step-by-step explanation:

20x+10x=30x

30x-5y

Which equation is quadratic in form?

Answers

Answer:

the quadratic formula is ax^2 + bx + c", if the first one is expanded out I will be 6x^2+8x+27 so that's the answer

Answer:

The answer is A

Step-by-step explanation:

b. 300,000 + 50,000 + 1,000 + 800
six hundred five thousand, nine hundred eight

C. 3 hundred thousands 3 thousands 8 hundreds 4 tens
303,840

d. 5 hundreds 6 ten thousands 2 ones
3 ten thousands 5 hundreds 1 one

Answers

Answer:

3702780 for the first question

Step-by-step explanation:

Add all the zeroes then add the whole numbers

I neeed helpy help help

Answers

Answer: Alternate Interior Angles

Step-by-step explanation:

Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

what’s the ratio of 9

Answers

Answer:

x2y = 9

Step-by-step explanation:

Rewrite in simplest terms: (-8x + 5) - (x – 7)​

Answers

Answer:

-9x+12

Step-by-step explanation:

(-8x + 5) - (x – 7)​

Distribute the minus sign

(-8x + 5) - x + 7

Combine like terms

(-8x -x+ 5+7) ​

-9x +12

Combine like terms. -8x-x=-9x. 5- -7=2. Subtracting a negative is adding the positive version of the number. The answer is -9x+2.

find each square root​

Answers

Answer:

the answer is 3/4

Step-by-step explanation:

3x3/4x4

I. e. 3/4

Hope it helps

mark it brainliest

thanks my answers

follow me for Help....In maths

look at image. reflection across x = -2 ​

Answers

Answer:

C -4,3  D stays the same  B stays the same

Step-by-step explanation:

Road brought d drawings to an art show. After selling 14 of them, she had 34 left. Identify the equation that represents this situation and the correct solution.

Answers

Answer:

d−14=34 shows that when we add sold drawing we get the total drawings

Step-by-step explanation:

We have been given that Rosa brought d drawings to an art show.

After selling 14 of them, she had 34 left.

We have to form a equation such that when we add 14 in 34 we get the total of drawings.

d-14=34d−14=34 (1)

Equation (1) shows that when we add sold drawing we get the total drawings

Answer:

d-14=34. 34+14=48. 48-14=34 which is our total

a. name the vertex of <4 b. Name the sides of <1 c. Write another Name for <5 d. classify each angle

Answers

Answer:

A. vertex B

B. Side BC and BD

C. Angle EBD

Step-by-step explanation:

An angle is an undefined term in plane geometry.

The vertex of [tex]\angle 4[/tex] is BThe sides of [tex]\angle 1[/tex] are BC and BDAnother name for [tex]\angle 5[/tex] is [tex]\angle DBE[/tex].[tex]\angle FBC[/tex] is a right angle[tex]\angle EBF[/tex] is an obtuse angle [tex]\angle ABC[/tex] is a straight angle.[tex]\angle EBC = 144[/tex][tex]\angle ABE =13.5[/tex]

Vertex of [tex]\angle 4[/tex]

The vertex of an angle is the point where the rays that form the angle meet.

From the diagram, rays BE and BA meet at point B to form [tex]\angle 4[/tex].

Hence, the name of the vertex is B

Sides of [tex]\angle 1[/tex]

The sides of an angle are the rays or sides that form the angle

[tex]\angle 1[/tex] is formed by rays BC and BD

Hence, the sides are BC and BD

Another name for [tex]\angle 5[/tex]

An angle can be named by combining the sides and the vertex.

The sides of [tex]\angle 5[/tex] are DB and BE, while the vertex is B

This means that rays DB and BE meet at point B

Hence, another name is [tex]\angle DBE[/tex]

Classify the angles

Angles are classified based on the measure

[tex]\angle FBC[/tex] is a right angle, because [tex]\angle FBC = 90^o[/tex]

[tex]\angle EBF[/tex] is an obtuse angle because [tex]\angle EBF[/tex] is greater than [tex]90^o[/tex] but less than [tex]180^o[/tex]

[tex]\angle ABC[/tex] is a straight angle, because [tex]\angle ABC= 180^o[/tex]

Angle bisector

The line or ray that divides an angle into equal halves is an angle bisector.

Ray BE is an angle bisector, because it divides [tex]\angle DBA[/tex] into two equal halves.

Find [tex]\angle EBC[/tex]

We have:

[tex]\angle EBD = 36[/tex]

[tex]\angle DBC = 108[/tex]

[tex]\angle EBC[/tex] is calculated using:

[tex]\angle EBC = \angle EBD +\angle DBC[/tex]

[tex]\angle EBC = 108+36[/tex]

[tex]\angle EBC = 144[/tex]

Find [tex]\angle ABE[/tex]

We have:

[tex]\angle EBF = 117[/tex]

[tex]\angle DBC = 108[/tex]

[tex]\angle ABE[/tex] is calculated using:

[tex]\angle EBF = \angle ABE +\angle EBD + \angle ABF[/tex]

Where

[tex]\angle ABF = 90[/tex]

[tex]\angle ABE = \angle EBD[/tex]

So, we have:

[tex]117 = \angle ABE +\angle ABE + \angle 90[/tex]

[tex]117 = 2\angle ABE + 90[/tex]

Collect like terms

[tex]2\angle ABE =117 - 90[/tex]

[tex]2\angle ABE =27[/tex]

Divide both sides by 2

[tex]\angle ABE =13.5[/tex]

Read more about angles at:

https://brainly.com/question/13954458

Solve each equation 8x+11=2(4x-7)+25

Answers

Answer:

Any value of x makes the equation true.

All real numbers

Interval Notation:

(−∞,∞)

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

8x+11=2(4x-7)+25

8x+11=8x-14+25

8x+11=8x+11

8x-8x=11-11

x=0

does the diagram below represent balanced or unbalanced forces​

Answers

Answer:I cant see the diagram

Step-by-step explanation:

You didn’t upload an image

f(x)=x+2,translation 2 units right

Answers

Answer:

when you translate you move the "x" term.  

so moving to the right is x-2 (sign opposite of direction)

g(x) = (x-2) + 2

Step-by-step explanation:

Simplify the expression 6(2x+1)+3(6x+2)

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{30x + 12}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{6(2x + 1) + 3(6x + 2)}[/tex]

Distribute 6 through the parentheses

Similarly, distribute 3 through the parentheses

[tex] \dashrightarrow{ \sf{12x + 6 + 18x + 6}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{12x + 18x + 6 + 6}}[/tex]

[tex] \dashrightarrow{ \sf{30x + 6 + 6}}[/tex]

Add the numbers : 6 and 6

[tex] \dashrightarrow{ \sf{30x + 12}}[/tex]

Hope I helped!

Best regards! :D

Destiny grew 15 plants with 3 seed packets. How many seed packets does Destiny need to have a total of 65 plants in her backyard? Solve using unit rates.

Answers

Answer: she would have to use 5 seed packets

This is because every seed packet has 15 plants so 15 x 5 would equal 75

If you only use 4 packets you would be short 5 plants so you have to add another packet to get all 65 plants

The expression (2x2)3 is equivalent to _____. A.6x 5 B.6x 2 C.8x 6

Answers

Answer:

B.6x^2

Step-by-step explanation:

[tex]\left(2x^2\right)\times\:3\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=2x^2\times\:3\\\\=6x^2[/tex]

The expression (2x2)3 is equivalent to B 6x2. What I did is by adding a number to one of the 2 which then u subtract one away from three

what is math seminar?

Answers

Answer:

Math seminar is a course probably for freshman. They will work in a group to discuss several math problems.

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