Triangle ABC has vertices at A (1,-3), B (3,0)x and C (5,-3). What is the distance from vertex B to the midpoint of AC?

Answers

Answer 1

Answer:

The distance from vertex B to the midpoint of AC is 3 units

Step-by-step explanation:

we are given a triangle with vertices  A (1,-3), B (3,0) and C (5,-3).

Mid point of of AC  (x,y) =  ( 1+5/2 , -3 -3/2)

                                     = ( 6/2 , -6/2)

                                     = (3 , -3)

Distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

                              = [tex]\sqrt{(3-3)^2 + (0 + 3) ^2}[/tex]

                               = [tex]\sqrt{(3)^2}[/tex]

                                = 3 units


Related Questions

Cooper took a math quiz last week. There were 76 problems on the quiz and Cooper answered 75% of them correctly. How many problems did Cooper get correct?

Answers

Answer:

57 problems

Step-by-step explanation:

Total number of problems = 76

Percentage of problems answered correctly = 75%

The number of problems Cooper got correctly =

75% of 76

= 75/100 × 76

= 57 problems

Cooper got 57 problem correctly

A class of 25 students went to a zoo.The total admission cost for the 25 students was $56.25.The admission cost was the same for each student. What is the admission cost for 1 student

Answers

Answer:

2.25USD$ Per Student

Step-by-step explanation:

Please mark me brainliest :) I need it to rank up :)

HELP! What is the solution to the following system of equations?

Answers

Answer:

it is 2,4

Step-by-step explanation:

The point that they meet is 2,4 . It means X+ is 2 and Y+ is 4 .

You can write a as their meet point . you should answer like this a(2,4) .

I need help with #3, I'll mark brainliest!

Answers

Answer:

Step-by-step explanation:

285

Answer:

Company P's total cost is $285

Step-by-step explanation:

Graphed rates of changes and the lowest point was (2375, 285).

Savannah has an action figure collection. She keeps 57 of the action figures on her wall, which is 19% of her entire collection. What is the total number of action figures in Savannah's collection?

Answers

Answer:

She has a total of 300 action figures.

Step-by-step explanation:

19 : 100 = 57 : x

x = 100/19 * 57

x = 300

A tennis racket costs $100 and is 30% off right now at
Sports Academy. The sales tax is 5.5%. What is the final
cost of the tennis racket?
Help :)

Answers

Answer:

73.85

Step-by-step explanation:

30% off of 100 is 30$

100-30=70

5.5% of 70 is 3.85

70+3.85=73.85

what is 84×3(45+2×4÷6)90​

Answers

Answer:

1050840

Step-by-step explanation:

PEMDAS

multiply 2 and 4 and then divide by 6: 1.3 and then add 45: 46.3

then multiply 46.3 and 90: 4167. Then multiply 84 and 3: 252. Then multiply 4167 and 252: 1050840

Find the values of the variables.

X = ____.

Y = ____.

Please help! I’ll give brainliest to whoever answers first!

Answers

Answer:

x = 16  y = 22.627 (or 16[tex]\sqrt{2[/tex])

Step-by-step explanation:

cos(45) = 16/y

y = 16/cos(45)

y = 22.627

tan(45) = 16/x

x = 16/tan(45)

x = 16

*this can also be found because we know this is a right triangle with two angles of 45 degrees. This means that both sides will be equal so x will be 16 and the diagonal will be 16 root 2 (22.627)

Thurman put $90 into an account that pays 4.4% interest, compounded quarterly. According to the rule of 72, approximately how long will it take for his money to double?

Answers

Answer:

Number of Years to Double= 15.65

Step-by-step explanation:

Giving the following information:

Interest rate= 0.044/4= 0.011

Annual compound interet rate= (1.011^4) - 1= 0.4473

The rule of 72 is a means of estimating the number of years it takes for an investment or your money to double.

Number of Years to Double= 70/Annual Rate of Return

Number of Years to Double= 70/4.473

Number of Years to Double= 15.65

Answer: 16.4

Step-by-step explanation: A p a x

What is the volume of the box when x=6

Answers

Formula for volume: length x width x height

If it’s a box all the sides are equal so you plug 6 in for length, width, and height

Therefore: 6x6x6=216

The volume of the box is 216 units

The volume of the box is 216 units

How do you say -3.14 in English

Answers

Answer:

minus three point one four

In a certain year, according to a federal agency, the median net worth of people under age 35 was $13,900. The median net worth of those from 35 to 44 was $69,600. Round to the nearest whole number.


Part 1 out of 2
About how many times as great was the net worth of those from 35 to 44 as compared to those under 35?


The net worth of those from 35 to 44 was about
times greater than those under 35.





tel now

Answers

Answer:

The net worth of those from 35 to 44 was about 5 times greater than those under 35.

Step-by-step explanation:

69,600 divided by 13,900 is around 5.

Please help me ): it's not that hard​

Answers

Answer:

5<14

Step-by-step explanation:

CAN SOMEONE HELP WITH THIS HELP ME PUT IT IN ORDER

Answers

Answer:

A then B then C (smallest)

Step-by-step explanation:

Bigger side bigger angle across from it

Three friends bought 4, 6, and 8 books.

This table shows the cost of the books.
Number of Books 4 6 8
Cost ($) 30 45 60

What is the constant of proportionality?

A. 2
B. 7.5
C. 15
D. 30

Answers

Answer:

B:7.5

Step-by-step explanation:

since 4 goes with 30, 6 goes with 45, and 8 goes with 60, you can see that 60-45 is 15 and 45-30 is 15 as well so the constant is 15, but the number of books is going up by two so the constant there is 2. So divide 15 by 2 and the answer would be C: 7.5.

Answer:

B. 7.5

Step-by-step explanation:

I just took the test on k-12 and it was correct.

Need help ASAP! Anyone know?

Answers

Answer: x= 29°

Step-by-step explanation: Add angles D and C. Subtract from 180.

58/2 = 29

Round the numbers to estimate the quotient. 29 and one-fifth divided by 4 and StartFraction 6 over 7 EndFraction Which numbers should be used? 25 ÷ 5 The estimated quotient is

Answers

Answer:

The quotient is 6.

Step-by-step explanation:

Given two fractions are:

[tex]29\dfrac{1}{5}[/tex]

and

[tex]4\dfrac{6}7[/tex]

To find:

The quotient of

[tex]29\dfrac{1}{5}\div 4\dfrac{6}7[/tex]

Solution:

Formula to convert mixed fraction to a fraction:

[tex]p\dfrac{q}{r} = \dfrac{p\times r+q}{r}[/tex]

Using the above formula to rewrite the given mixed fractions:

[tex]29\dfrac{1}{5}[/tex] can be written as:

[tex]\dfrac{29\times 5+1}5\\\Rightarrow \dfrac{146}{5}[/tex]

[tex]4\dfrac{6}7[/tex] can be written as:

[tex]\dfrac{4\times 7+6}{7}\\\Rightarrow \dfrac{34}{7}[/tex]

Now dividing:

[tex]\dfrac{\frac{146}{5}}{\frac{34}{7}}\\\Rightarrow \dfrac{146\times 7}{5\times 34}\\\Rightarrow \approx 6[/tex]

Therefore the quotient is 6.

Answer:

Round the numbers to estimate the quotient.

29 and one-fifth divided by 4 and StartFraction 6 over 7 EndFraction

Which numbers should be used?

✔ 29

÷

✔ 5

The estimated quotient is

✔ 5 4/5

Step-by-step explanation:

Joan sewed 115 fabric squares for her new quilt. Each fabric square was 12 inches by 12 inches. If no fabric square was cut or folded, which statement describes the largest square quilt Joan could make?

Answers

Joan sewed 115 fabric squares for her new quilt. Each fabric square was 12 inches by 12 inches. If no fabric square was cut or folded, which statement describes the largest square quilt Joan could make?

Group of answer choices

1.Joan has too many squares for a 9-foot-by-9-foot quilt and not enough squares for a 10-foot-by-10-foot quilt.

2.Joan has too many squares for a 10-foot-by-10-foot quilt and not enough squares for an 11- foot-by-11-foot quilt.

3.Joan has too many squares for an 11-foot-by-11-foot quilt and not enough squares for a 12- foot-by-12-foot quilt.

4.Joan has too many squares for a 12-foot-by-12-foot quilt and not enough squares for a 13-foot-by-13-foot quilt.

Answer:

3.Joan has too many squares for an 11-foot-by-11-foot quilt and not enough squares for a 12- foot-by-12-foot quilt.

Step-by-step explanation:

Given that:

Joan sewed 115 fabrics for her new quilt and each fabric square was 12 by 12 inches, suppose no fabric square was cut or folded, the largest quilt Joan could make was an 11-foot-by-11-foot quilt but not enough squares for a 12- foot-by-12-foot quilt.

Select the correct answer.
Factor each polynomial function. Based on these factors, which polynomial's graph crosses the x-axis at only one point?

Answers

Answer: f(x)=x^3-7x^2+3x-21

Step-by-step explanation: I took the test

Answer:

The correct answer is:

f(x)=x^2-7x^2+3x-21

Step-by-step explanation:

I got it right on the Edmentum test.

A'Reana earns a weekly allowance for doing chores around the house and for keeping all of her grades above a C. During a particular week, she gave $10 to her friend Taylor, spent half of the remaining money on a new shirt, and then spent $7.50 on a pizza. At this point, she had $37.50. How much is A'Reana's weekly allowance?

Answers

Given :

During a particular week, she gave $10 to her friend Taylor, spent half of the remaining money on a new shirt, and then spent $7.50 on a pizza. At this point, she had $37.50.

To Find :

How much is Reana's weekly allowance.

Solution :

Let, allowance is x.

Then by given conditions :

37.50 = x - ( 10 + x/2 + 7.50 )

37.50 = x/2 - 17.50

x/2 = 55

x = $110

Therefore, Reana's weekly allowance is $110.

Hence, this is the required solution.

Find the surface area of the two following figures. Show all your work.

Answers

Answer:

First shape: 366 in^2

Second shape: 376 in^2

Pretty sure these are correct, hope this helps!

What is 6,384 times 745

Answers

Answer:

4756080

Step-by-step explanation:

I hope this helps you

Nathan walked 10/10 of a mile and sarah walked 19/20 of a mile.who walked a greater distance?

Answers

nathan walked a greater distance, when you compare the fractions with a common denominator, Sarah only walks 9/10 of a mile.

Answer:

Nathan

Step-by-step explanation:

PLEASE HELP FAST!!!!! ILL MARK BRAINLIEST!!!!!

Brigit earns $10 per hour for bagging groceries at a grocery store and $8 per hour for
babysitting. She wants to earn at least $80 this week. The linear inequality shown in the
graph represents this situation, where x is the number of hours she works at the grocery
store and y is the number of hours she babysits. Which ordered pair is a solution of the
linear inequality?
Weekly Earnings of
at Least $80
10
8
6
Time Babysitting (W
4
X
2
6
8
10
4
Time Worked at
Grocery Store (h)
O (2,7)
O (3,6)
O (8,3)
(6,2)

Answers

Answer:

c

Step-cby-step explanation:

hope it helps give me crown pls

The ordered pair is a solution of the linear inequality would be; (8,3)

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

We are given that Brigit earns $10 per hour for bagging groceries at a grocery store and $8 per hour for babysitting. She wants to earn at least $80 this week.

Let x is the number of hours she works at the grocery store and y is the number of hours she babysits.

The linear inequality shown in the graph represents this situation as;

10x + 8y ≥ 80

Therefore, the ordered pair is a solution of the linear inequality would be;

(8,3)

Learn more about inequality ;

brainly.com/question/14164153

#SPJ2

Please help!!

31=x/3+10

Answers

Answer:

403

Step-by-step explanation:

31 = x/3 + 10

31 = (x + 30)/3

93 = x + 30

x = 93 - 30

x = 63

PLEASE HELP ME!!!!!!

Answers

Answer:multiply 470 by 3

Step-by-step explanation:

Since the rate has been solved and it is 470 you multiply 470 by 3 to find out how far it traveled in 3 hours.

Answer:

3rd choice

Step-by-step explanation:

Cindy did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 4.3%. Create an equation for the situation that would work for any time, x.

Given f(x)=2^x and g(x)=f(x-2)+4, write the new function rule (equation) for function g and describe (using words*) the two transformations that occur between function f and function g.

Answers

Answer:

4.3

Step-by-step explanation:

Answer:

4.3 would be your scientific answer

Step-by-step explanation:

:) let me know if i help if not ill give you your points back

through: (-1.-5). slope - 3 what is the slope intercept form of the equation ​

Answers

Answer:

y= -3x+2

Step-by-step explanation:

[tex]y - ( - 5) = - 3(x - ( - 1)) \\ y + 5 = - 3x - 3 \\ y = - 3x + 2[/tex]

I NEED HELP ASAP!!! PLEASE AND THANK YOU!! WILL MARK BRAINLIEST!!!!

Beth wrote a system of equations to determine when a referee will earn the same salary working the East Conference and West Conference games.


y = 40x − 25 and y = 35x − 5


(x = total games and y = amount earned)


Beth determined that at 135 games, the referee would earn the same salary for each conference game. Is she correct?

Yes, Beth is correct.

No. She did not find the correct intersection point.

No. She only estimated and did not find the exact values.

No. She interpreted the solution of (4, 135) incorrectly.

Answers

Answer:d

Step-by-step explanation:

Should be 4 games not 135

Answer:

D. No. She interpreted the solution of (4, 135) incorrectly.

Step-by-step explanation:

Find the composite function (please help)

Answers

Answer:

(f o h)(x) = -10x + 32

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Composite Functions

Step-by-step explanation:

Step 1: Define

f(x) = 2x³ + 8

h(x) = ∛(12 - 5x)

(f o h)(x) is f(h(x))

Step 2: Find Composite Function

Substitute:                         (f o h)(x) = 2(∛(12 - 5x))³ + 8Evaluate:                            (f o h)(x) = 2(12 - 5x) + 8Distribute 2:                       (f o h)(x) = 24 - 10x + 8Combine like terms:         (f o h)(x) = -10x + 32

And we have our final answer!

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