MATHEMATICS MIDDLE SCHOOL

Which point is 7 units from (–2, 4)? A.
(–5, 4)

B.
(–2, 3)

C.
(5, 4)

D.
(9, 4)

Answers

Answer 1
Answer: The distance formula:
d=√((x_2-x_1)^2+(y_2-y_1)^2)

(x_1,y_1)=(-2,4) \nd=7 \n \n7=√((x-(-2))^2+(y-4)^2) \n7=√((x+2)^2+(y-4)^2) \ \ \ |^2 \n49=(x+2)^2+(y-4)^2
Check which point satisfies the equation:
(x,y)=(-5,4) \n49 \stackrel{?}{=} (-5+2)^2+(4-4)^2 \n49 \stackrel{?}{=} (-3)^2+0^2 \n49 \stackrel{?}{=} 9 \n49 \not= 9 \ndoesn't \ satisfy \ the \ equation

(x,y)=(-2,3) \n49 \stackrel{?}{=} (-2+2)^2+(3-4)^2 \n49 \stackrel{?}{=} 0^2+(-1)^2 \n49 \stackrel{?}{=} 1 \n49 \not= 1 \ndoesn't \ satisfy \ the \ equation

(x,y)=(5,4) \n49 \stackrel{?}{=} (5+2)^2+(4-4)^2 \n49 \stackrel{?}{=} 7^2+0^2 \n49 \stackrel{?}{=} 49 \n49=49 \nsatisfies \ the \ equation

(x,y)=(9,4) \n49 \stackrel{?}{=} (9+2)^2+(4-4)^2 \n49 \stackrel{?}{=} 11^2+0^2 \n49 \stackrel{?}{=} 121 \n49 \not= 121 \ndoesn't \ satisfy \ the \ equation

The answer is C.

Related Questions

A volunteer has 12 pounds of birdseed to put in bird feeders in all of the city park. There are 3 and one four cups of birdseed on a pound, and each bird feeder holds about 3 four cups of birdseed. How many bird feeder can the volunteer fill completely?
The product of 4.7 and 6.5 equals 30.55 what is the product of 4.7 and 0.65 4.7 and 65
How can 563*10 to the 3rd power be scientific notation.(Use the photo above please)
Look at the cups shown below (images are not drawn to scale):A cone is shown with width 3 inches and height 6 inches, and a cylinder is shown with width 3 inches and height 5 inchesHow many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth.18.8 cubic inches21.2 cubic inches28.2 cubic inches49.5 cubic inches
What is 88/99 in its simplest form

What is −4 5/11 − 2 4/11?

Answers

I think it might be -2 1/11 1. -4 5/11+2 4/11 2. 4+2=−2
Solving the fraction parts
−5/11+4/11=−1/11
Combining the whole and fraction parts
−2−1/11=−2 1/11
Solution by Formulas
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
−49/11+26/11
Applying the fractions formula for addition,
=(−49×11)+(26×11)11×11
=−539+286=121
=−253/121
Simplifying -253/121, the answer is
=−2 1/11
the answer would be 6 9/11

Fourteen students are surveyed about their favorite color. Four students choose green, two choose black, five choose orange, one chooses gray, and two choose blue. If 28 different students are surveyed, predict how many of the students will pick blue as their favorite color using the results from the survey.students

Answers

Answer:

I predict 4 students will pick blue.

Step-by-step explanation:

I predict this because when 14 students were surveyed, 2 chose blue, so when 28 students are surveyed 2 more will pick blue so 4 people will pick blue.

Have a Gr8 day (:

(Can I have brainliest pls?)

If you do 3.2x6.892 I don’t get the answer

Answers

Answer:

22.0544

Step-by-step explanation:

3.2 × 6.892 = 22.0544

I'm always happy to help :)

What is 55/144 in it’s simplest form?

Answers

Answer:

It doesnt have one

Step-by-step explanation:

It is divided by the gretest factor already.

Find the circumference of a circle with an area of 254.47 square inches.
​

Answers

Answer:

56.5 inches

Step-by-step explanation:

We are given the area of a circle and we are to find the circumference of the same circle.

We know that the area of a circle is given by \pi r^2 so equating the given value to get.

\pi r^2=254.47

r^2=(254.47)/(\pi )

r=√(81.00)

r = 9 inches

Since we now know the radius of the circle so we can find its circumference.

Circumference of circle = 2\pi r = 2\pi (9) = 56.5 inches

Answer: 56.54 in

Step-by-step explanation:

The area can be calculated with this formula:

A=\pi r^2

Where r is the radius

And the circumference can be calculated with this formula:

C=2\pi r

 Where r is the radius

Solve for the radius from  A=\pi r^2. Then, tha radius is:

r=\sqrt{(A)/(\pi )}=\sqrt{(254.47in^2)/(\pi )} =9in

Then, the circumference is:

 C=2\pi (9in)=56.54in

Can someone smart please tell me the answers to al of A-D ASAP

Answers

Refer to the image below.

QUESTION A

The 123° angle and < 1 are corresponding angles.
Therefore, < 1 = 123°.

< 1 and < 2 are vertical angles.
Therefore, < 2 = 123°.

QUESTION B

The 71° angle and < 1 are consecutive interior angles.
Therefore, < 1 + 71° = 180°.
Subtract 71 from 180 to find that < 1 = 109°.

The 71° angle and < 2 are supplementary.
Therefore, < 2 + 71° = 180°.
Subtract 71 from 180...< 2 = 109°.

(You could also find < 2 by the fact that it and < 1 are alternate interior angles.)

QUESTION C

m < 1 = 53°
By vertical, alternate interior, and alternate exterior:
m < 3, 5, 7, 9, 11, 13, and 15 = 53°
By supplementary or consecutive interior angles:
180 - 53 = 127
m < 2, 4, 6, 8, 10, 12, 14, and 16 = 127°

QUESTION D
Keep in mind there's not really a specific order for doing these. It's just applying the rules to find angles one by one.


< 1 = 39°
1 and 3 are vertical. < 3 = 39°.
1 and 2 are supplementary. 180 - 39 = < 2 = 141°.
2 and 4 are vertical. < 4 = 141°.

2 and 5 are consecutive interior. 180 - 141 = < 5 = 39°.
5 and 7 are vertical. < 7 = 39°.
5 and 6 are complementary. 90 - 39 = < 6 = 51°.
6 and 8 are vertical. < 8 = 51°.

9 is vertical to a right angle. < 9 = 90°.

8 and 10 are alternate interior. < 10 = 51°.
10 and 13 are vertical. < 13 = 51°.
13 and 11 are complementary. 180 - 51 = < 11 = 141°.
11 and 12 are vertical. < 12 = 141°.
Other Questions
A landscaper is designing a flower garden in the shape of a trapezoid. She wants the length of the shorter base to be 3 yards greater than the height, and the length of the longer base to be 5 yards greater than the height. For what height will the garden have an area of 360 square yards? Round to the nearest tenth of a yard.17.1 yards 34.2 yards 39.2 yards 152.6 yards
Brian bought two DVDs , one priced at $ 5.56 and the other at $ 11.00 .Sales tax on his purchase was 7 % .How much change should he have received if he paid with a $20 bill?
Mr.Ravenheads car averages 23.75 miles per gallon of gasoline. Express this amount as a mixed number in simplest form.
PLEASE HELP!!!This is one question but with 3 parts; I answered 2 but I need one more. Part one: Arif and Keisha go to a restaurant. their meal cost 13.75. The sales tax is 5% I got $0.69. Part two: They want to leave a 15% tip based on the bill and tax combined. I got $2.17 Now the part 3 I need help with says Arif ordered a more expensive meal than Keisha after tax and tip are figured he decides he should pay $3.00 more than Keisha. How much should he pay?