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lilavasa [31]
2 years ago
12

Type the correct answers out, thank you - 20 POINTS

Mathematics
1 answer:
nadezda [96]2 years ago
8 0
AB and BC form a right angle at their point of intersection. This means AB is perpendicular to BC.

We are given the coordinates of points A and B, using which we can find the equation of the line for AB.

Slope of AB will be:

m= \frac{-1-1}{14-2}=-1/6

Using this slope and the point (2,1) we can write the equation for AB as:

y-1= \frac{-1}{6}(x-2) \\  \\ 
y= -\frac{1}{6}x+ \frac{1}{3}+1 \\  \\ 
y=-\frac{1}{6}x+ \frac{4}{3} 


The above equation is in slope intercept form. Thus the y-intercept of AB is 4/3.

Slope of AB is -1/6, so slope of BC would be 6. Using the slope 6 and coordinates of the point B, we can write the equation of BC as:

y - 1 = 6(x - 2)
y = 6x - 12 + 1
y = 6x - 11

Point C lies on the line  y = 6x - 11. So if the y-coordinate of C is 13, we can write:

13 = 6x - 11
24 = 6x
x = 4

The x-coordinate of point C will be 4.

Therefore, the answers in correct order are:

4/3 ,  6,  -11,  4
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A circular rug has a circumference of 314 inches. What is the approximate area? Round to the nearest whole inch. Use 3.14 for pi
Semenov [28]

Answer:

The area is 7850 square inches

Step-by-step explanation:

Given the circumference, we want to calculate the area

mathematically, the circumference is;

C = 2 pi r

So r is C/2 pi

Area = pi * r^2

Substitute value for r from circumference;

Area = Pi * c^2/4pi^2

Area = C^2/4pi

Area = 314^2/4 * 3.14

Area = 7850 Inches square

6 0
3 years ago
Read 2 more answers
Roy driving 582 miles to family reunions she will drive 300 miles by herself the first day the second day Roy and her cousin wil
monitta
In the first day she drive by her self 300

The miles remains to the second day

582-300=282

In the second day it will share the driving with her cousin equally

so she will drive 282/2=141 miles and her cousin also 141 miles
7 0
3 years ago
A rocket is launched from the ground at an initial velocity of 39.2 meters per second. Which equation can be used to model the h
Naya [18.7K]

The quadratic equation that models the height of the rocket after t seconds is:

s(t) = -4.9t² + 39.2t.

<h3>What is the quadratic function for a projectile's height?</h3>

Considering the height in meters, the equation is given by:

s(t) = -4.9t² + v(0)t + h(0)

In which:

  • v(0) is the initial velocity, in m/s.
  • h(0) is the initial height, in m.

In this problem, we have that v(0) = 39.2, h(0) = 0, hence the equation is:

s(t) = -4.9t² + 39.2t.

More can be learned about quadratic functions at brainly.com/question/24737967

#SPJ1

8 0
1 year ago
At the city museum child admission is $5.70 and the adult admission is $9.60 on Thursday,186 ticket were sold for a total sales
QveST [7]
I hope this helps you

8 0
3 years ago
Stephen spends 10% of his salary on food, 15% of it on transportation, and saves the remaining 2000. what is his salary?
Ber [7]

Answer:

His salary is $2666.68

Step-by-step explanation:

First add the percent of the costs.       10% + 15% = 25%

Then subtract 25% from 100% to find the percentage that 2,000 is of the total salary.                                                           100% - 25% = 75%

$2,000 is 75% of the total salary. Divide 2,000 by three to find the amount of money 25% of the salary is. ( 75% is 3/4 of 100)                                                         2,000 divided by 3 = $666.67

25% of the salary is $666.67

Multiple that by 4 and you get the total salary.

666.67•4= $2666.68

Are you sure those were all the correct numbers because that was not a very nice number at the end there lol but that answer is correct with the numbers you gave me.


5 0
3 years ago
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