(15 POINTS!)

The slope of the line passing through the points (7, 5) and (21, 15) is

5/7
7/5
5
7

Another line with a slope that is one-third that of the slope you just calculated passes through the origin and the point

3, 5
3, 7
21, 5
21, 7

Answers

Answer 1

Answer:

1) 5/7

2) (21, 5)

Step-by-step explanation:

1) The slope of the line passing through the points (7, 5) and (21, 15) is

[tex]\frac{15-5}{21-7} =\frac{10}{14}=\frac{5}{7}[/tex]

because slope is (difference of y)/(difference of x)

the first option is correct

2) 1/3 of 5/7 is 5/21.

The line will be in the form of

y = 5/21 x + b where b is the y-intercept.

Find the complete equation by plugging in (0,0) since it passes thorugh the origin.

0 = 5/21 (0) +b

0=0+b

b=0

The equation: y=5/21 x

let's check each option by plugging in.

y= 5/21 (3)= 5/7

y is not 5 but 5/7

y= 5/21 (3)= 5/7

y is not 7 but 5/7

y= 5/21 (21) = 5

y is 5, which matches with the answer choice!!!

y= 5/21 (21) = 5

y is 5, not 7.

The third option is correct


Related Questions

The distance covered by the fastest high-speed train in Japan traveling at maximum speed is represented on the graph. The fastest high-speed train in the United States traveling at maximum speed covers 600 kilometers in 1/2 hours. Which train has a greater maximum speed? Explain.

Answers

Answer:

it would run up almost 360 kph

Step-by-step explanation:

i look it up

The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number? x2 + 1 = 420 x2 + 2 = 420 x2 + x = 420 x2 + 2x = 420

Answers

Answer:Answer:

The answer is x^2 + x =420

Step-by-step explanation:

It is given that

The product of two consecutive integers is 420

Le x be the first number, then

second number is the next consecutive number of x which is (x +1)

The product of these numbers can be written as

x (x + 1) which is equal to 420

x (x + 1)  = 420

x^2 + x = 420

So the quadratic equation is

x^2 + x = 420

Step-by-step explanation:

Answer:

Step-by-step explanation:

Its CCCCCCCCCCCCCCC

1. A multi-cab starter motor has a current of 60.0 A and a voltage of 12 V. What is
the resistance of the starter motor?
А
Given: Current (1)
Voltage (V)
Required: Resistance (9)
V
Formula:
R= voltage
curent
Solution:
V - IR
Answer:
Resistance -
92, the resistance of the electric motor.​

Answers

Answer: 0.20 Ω

Step-by-step explanation:

From the question, we are informed that a multi-cab starter motor has a current of 60.0 A and a voltage of 12 V. The resistance of the starter motor will be calculated thus:

Current (I) = 60.0A

Voltage (V) = 12V

Resistance = Unknown

Since Voltage = Current × Resistance

Therefore, Resistance = Voltage / Current

= 12/60

= 0.20 Ω

The resistance of the motor is 0.20 Ω

The resistance of the starter motor if a multi-cab starter motor has a current of 60.0 A and a voltage of 12V is 0.2 ohms

Based on the given question, for us to get the resistance of the starter motor, we will need to use Ohm's law.

According to the law, the current I passing through a conductor at constant temperature is directly proportional to the voltage "V". Mathematically;

V = IR

V is the voltage = 12V

I is the current = 60.0A

R is the resistance

Substitute the given parameters into the formula as shown:

12 = 60 R

R = 12/60

R = 1/5

R = 0/2

Hence the resistance of the starter motor if a multi-cab starter motor has a current of 60.0 A and a voltage of 12V is 0.2 ohms

Learn more here: https://brainly.com/question/22174928

A helicopter is hovering 100 meters above the ocean. Directly below it, a submarine is at a depth of 200 meters.
The altimeter on the helicopter reads
meters, which means it is 100 meters
sea level. The altimeter on the submarine reads
meters, which means it is 200 meters
sea level.

Answers

Answer:

100

2. Above,

3. -200−200 ,

4. Below

Jolie earned \$205$205dollar sign, 205 for babysitting in one month. She spent ddd dollars going to a water park with some friends. After going to the water park, Jolie had \$160$160dollar sign, 160 remaining. Write an equation to describe this situation. How many dollars did Jolie spend at the water park?

Answers


Answer:
$205-$160= $45
Step-by-step explanation:
this means that she spent $45 dollars at the water park

Answer:

jolie spent 45 buckaroonies on the waterpark.

and the equation is

205 - d = 160

Step-by-step explanation:

i just got it right on kahn academy

complete these. Show your thinki
b.
3.25 ft =
in
HELPPPP

Answers

Answer:

35 inches

Step-by-step explanation:

multiply length value by 12

A real estate agent received 5.7% commission for a house that sold for $250,000. How much was the agent's commission?

Answers

Answer:

$14,250

Step-by-step explanation:

250,000 * .057 = 14,250

$14,250 USD Siri helped me :)

Parallel lines have so much in common, It’s a shame they’ll never meet.

Answers

ya so heartwarming. give brainliest pls bae

Answer:

This is actually very true

Step-by-step explanation:

lol

Which measure is cloest to the length of a side of a square that has an area of 221 square feet? 11.0 ft 14.69 ft 16.4 ft 55.2 ft

Answers

Answer:

14.69 ft.

Step-by-step explanation:

Area of a square:

A= [tex]a^2[/tex]

Given:

A=221 [tex]ft^{2}[/tex]

Solve:

221= [tex]a^2[/tex]

[tex]\sqrt{221}[/tex]=[tex]\sqrt{a}^2[/tex]

a is approx. equal to 14.87 ft.

which is 14.69 ft.

Please help !!!!!!!!!!!

Answers

Answer:11/1 11/2 11/3 11/4 11/5  /6

Step-by-step explanation:

If you get 2 imaginary answers when using the quadratic formula, how does this relate to how many times (0, 1 or 2) a quadratic graph touches/crosses the x-axis?

Answers

Answer:Roots of a number indicates value where function will be zero. If an equation let's say

y = f(x) = x^2 -3x + 2 has two roots x = 1 and x =2 . Now if you will draw the graph, line will cross x-axis at 1 and 2 indicating y will become zero at 1 and 2. But if any equation has imaginary roots implies y will be never be zero for any real value of x and as we do not show imaginary number on a Cartesian plane we cannot make y =0 hence graph will never touch x-axis.

Step-by-step explanation:

How do I graph f(x) = -x^2 +2x -4

Answers

This is how you would graph it :
This is the correct graph.
The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output.

Point S is on line segment RT.Given RT = 3x , RS = 3x - 5 and ST = 3x -1 determine the numerical length of RT

Answers

Answer:6

Step-by-step explanation:

Solve the equation.
3+ 4.5(2d – 3) = 7.5

Answers

Answer:

d=2

Step-by-step explanation:

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Just word problems, THANK YOU!!!!!!!!

Answers

Answer:

First one is 120 leaves  The Second one is $3.5   Last one is $136

I don't know the 3rd one

Step-by-step explanation:

Figure 1
Figure 2
Figure 3
Your answer

Answers

Answer:

I believe you forgot a picture.

Diego is 165 cm tall. Andre is 1.7 m tall. Who is taller, Diego or Andre? 1 m = 100 cm.

Answers

Answer:

Diego

Step-by-step explanation:

Diego is because 1m = 100 and Diego is 165 and that is alote bigger from 1.7.

3) Solve the equation. Show steps. -406 = c + 430​

Answers

Answer:

- 836

Step-by-step explanation:

Check out the attachment below:

Click and drag the pink tiles to the correct location on the graph organizer.

Answers

Answer:

-3: Integer

21: Whole #

0.9: Rational

2 1/2: Rational

3.2: Rational

53: Whole #

-11: Integer

8: Whole #

-6: Integer

3/4: Rational

75: Whole #

-36: Integer

Step-by-step explanation:

See above.

If you can please make my answer the brainliest that would be much appreciated. Thanks and Good Luck! :D

Find x. My teacher gave me what x equals but I don’t know the step-by-step explanations. x=6

Answers

Step-by-step explanation:

The triangle is isosceles, so the base angles are the same.

All three angles add up to 180°.

(6x + 4) + (6x + 4) + (18x − 8) = 180

30x = 180

x = 6

Answer:x=6

Step-by-step explanation:since those two sides shown are the same length, the missing angle is also 6x+4. the angles on a triangle always will equal 180. so you set the problem up as 6x+4+6x+4+18x-8=180. when you combine like terms it is then 30x=180. x=6

There are 600 performers in a dance recital. The ratio of men to women is 4:6. How many men performers were in the dance recital

Answers

Answer: 240 men

Step-by-step explanation:

From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.

Fraction of men at the recital = 4/10

Fraction of women at the recital = 6/10

The number of men performers that were in the dance recital will be:

= 4/10 × 600

= 240 men

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Answers

Answer:

15/16

Step-by-step explanation:

got it right

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Answers

Answer:

8

Step-by-step explanation:

19 - 3 = 16

16÷2 = 8

You bought 8 candy bars

Answer:

8

Step-by-step explanation:

You First have spent 3$ on a magazine then $2 for each candy bar in total u had 19$ spent so first u mulitply 8x2 which 16 now 16 + 3=19

I need help with this so can someone please help me

Answers

9514 1404 393

Answer:

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Step-by-step explanation:

Like terms are ones with the same variable (or set of variables). Here, any x-terms are "like" terms. They are combined by adding their coefficients.

  4x +4x +4x +4x = x(4+4+4+4) = 16x

  -7x +4 +3x = x(-7+3) +4 = -4x +4

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Answers

Answer:

I also have felt like this recently. Try talking to someone about it. :)

find the value of 8^1/3

Answers

Answer:

[tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

Find 1/3 of 8: [tex]\frac{1}{3}[/tex] × [tex]\frac{8}{1} = 2\frac{2}{3}[/tex]  

I hope this helps!

The answer is [tex]\frac{8}{3}[/tex] or [tex]2\frac{2}{3}[/tex]

A pound of ground beef costs $5. At this rate, what is the cost of 1/4 pounds?

Answers

$1.25 is the cost of 1/4 pound beef

Answer:

yesssss

Step-by-step explanation:

if you give me more poins ill be happy

Aisle 2 of furniture store stocks 4-legged chairs, 4-legged tables and 3 legged stools. Which expressionS shows the total number of furniture legs in aisle 2.
THERE ARE MULTIPLE ANSWERS.

A. 4t+4c+3s
B. 4t+4c+4s
C. 4(t+c) + 3s
D. 4(t+c+s)
E. T+c+s
F. T+c+3s

Answers

Answer:

It is A maybe

Step-by-step explanation:

I search on Brainly and everyone is saying this is the answer.

;-; I like cheese.....

Answers

Yooo, me too! Cheese is life

12) If tan A=5/12 . find the value of (sin A + COS A) sec A.​

Answers

Answer:

(sin(A) + cos(A)).sec(A) = 17/12

Step-by-step explanation:

tan(A) = 5/12

sin(A) = 5/13

cos(A) = 12/13

sec(A) = 1/(cos(A)) = 13/12

(sin(A) + cos(A)).sec(A) = (5/13 + 12/13).13/12

= 17/13.13/12

= 17/12

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