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ehidna [41]
3 years ago
5

Two lines, A and B, are represented by the following equations: Line A: y = x − 1 Line B: y = −3x + 11 Which of the following op

tions shows the solution to the system of equations and explains why? (4 points) Group of answer choices (3, 2), because both lines pass through this point (3, 2), because one of the lines passes through this point (3, 2), because the point lies between the two axes (3, 2), because the point does not lie on any axis
Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

Answer:

its option 1

Step-by-step explanation:

D, because if u plug it in both the  equations, you will get the same solution.

y=x-1

2=3-1

2=2

y=-3x+11

2=-3(3)+11

2=-9+11

2=2

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The line y=−13x+4 passes through which of the following points?
topjm [15]

Option C

\text{The line } y=\frac{-1}{3}x+4 \text { passes through } (3, 3)

<em><u>Solution:</u></em>

<em><u>Given that line is:</u></em>

y = \frac{-1}{3}x + 4

Let us check the options one by one

<em><u>Option A</u></em>

(1, -4)

Substitute x = 1 and y = -4

-4 = -\frac{1}{3} \times 1 + 4\\\\-4 = \frac{-1+12}{3}\\\\-12 = -1 + 12\\\\-12\neq 11

Thus the line does not passes through (1, -4)

<em><u>Option B</u></em>

(6, 4)

Substitute x = 6 and y = 4

4= \frac{-1}{3} \times 6+4\\\\-4 = -2 + 4\\\\-4\neq 2

Thus the line does not passes through (6, 4)

<em><u>Option C</u></em>

(3, 3)

Substitute x = 3 and y = 3

3 = \frac{-1}{3} \times 3 + 4\\\\3 = -1 + 4\\\\3 = 3

Thus the line does not passes through (3, 3)

<em><u>Option D</u></em>

(0, -1)

Substitute x = 0 and y = -1

-1 = \frac{-1}{3} \times 0 + 4\\\\-1\neq 4

Thus the line does not pass through this point

3 0
3 years ago
$120 is shared among 3 friends Ava, Ben, and Carlos. If Ava receives $20 less than
kenny6666 [7]

Answer:$20

Step-by-step explanation:

If Carlos had $20

Ben would have $60

And Ava would have $40

8 0
3 years ago
Please help me figure this out !!?
Alenkinab [10]
Tangent ∠ = opposite / adjacent 
Tan (D) = 24/7 (Answer)
6 0
3 years ago
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If 8 counters is the whole, how many counters make 1/4
Gala2k [10]
Answer: 2

each counter is 1/8, so two is 2/8 which is equivalent to 1/4
4 0
3 years ago
Read 2 more answers
A person is riding a Ferris wheel has a radius of 50ft. find the linear speed of the person in feet per minute if the Ferris whe
kifflom [539]

The linear speed of a person on this Ferris wheel is about 628.2 ft/min.

<h3>What is Linear Speed ?</h3>

As a body travels a circular path, it has both a linear speed and an angular speed. The rate it travels on that path is the linear speed, and the rate it turns around the center of that path is the angular speed. The linear speed (v) and angular speed (ω) are related by the radius (r) or v = rω .

Given that ;

Radius = r = 50 ft

Frequency = f = 2 rev/min

The angular speed is the product of the angular displacement for one complete turn, namely 2π radians per revolution, and the frequency (f). That is, the angular speed is equal to ω = 2πf. Substituting this into the formula for linear speed (v), we get:

                                v = r (2πf)

                                    = (50 ft) ( 2π / rev) ( 2 rev/min)

                                    = 200π ft/min

                                    ≈ 628.2 ft/min

The linear speed of a person on this Ferris wheel is about 628.2 ft/min.

Learn more about linear speed here ;

brainly.com/question/14413779

#SPJ1

.

4 0
1 year ago
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