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3 years ago

A system of linear equations contains two equations with the same slope. Select all of the correct statements.

2 answers:

5 0

B. The system may represent two parallel lines and have no solution.
C. The system my represent the same line and have infinitely many solutions.

lina2011 [118]3 years ago

4 0

Answer:

B and C are correct statements.

Step-by-step explanation:

Given is : A system of linear equations contains two equations with the same slope.

If the two given linear equations have the same slope but different y intercept, then the lines will be parallel. As we know that the parallel lines never meet or intersect, so such equations will have no solution.

Hence, B. The system may represent two parallel lines and have no solution. - is true.

Also if the given equations have same slope and same y intercept then it is the same line with infinite number of solutions.

Therefore, option C. The system may represent the same line and have infinitely many solutions. - is also true.

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Why is the square root of a perfect square always rational

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3 years ago

A spinner has 10 equal-sized sections. Two of the sections are red.

hichkok12 [17]

Answer:

a. Probability of landing on red = $\frac{1}{5}$

b. See Explanation

Step-by-step explanation:

Given

A Spinner

Number of section = 10 (equal sized)

Number of red section = 2

Required

- Probability of landing on red

- Describe the probability in words

Calculating the probability of landing on red

The formula used in calculating probability is as follows

Probability = Number of required outcomes / Number of possible outcomes

In this case, the number of required outcomes is the number of red section.

Hence, number of required outcomes = 2

And the number of possible outcomes is the total section of the spinner

Hence, Number of possible outcomes = 10

By Substitution

Probability of landing on red = $\frac{2}{10}$

Probability of landing on red = $\frac{1}{5}$

Describe the probability in words

From (a) above, we have that the probability of the spinner landing on color red is $\frac{1}{5}$

This means that, for every five times, you spin the spinner, it's likely that one of the outcomes will be red.

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4 years ago

-5x+2y=9 y=7x I need help with in the next 10 minutes I will give brainiest!!!!!

Yanka [14]

Answer:

x = 1 and y = 7

Step-by-step explanation:

First, you substitute the y into the first equation

-5x+2(7x)=9

-5x+14x=9

9x=9

x=1

Then put the x into the equation to find y

This is if you substitute using the second equation

y=7(1)

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3 years ago

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3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (8,-6) and (11,-12)? write the answer in simplest form.

Hatshy [7]

Answer:

y = -2x + 10

Step-by-step explanation:

The equation is y = mx + b

1. Find the slope first.

--> (y2 - y1) / (x2 - x1) = slope

--> (-12 - -6) / (11 - 8) = (-6) / (3) = -2

2. Then, find the y-intercept (b) by plugging one of the points

--> y = -2x + b

--> -6 = -2(8) + b

--> -6 = -16 + b

--> b = 10

3. Combine

--> y = -2x + 10

8 0

2 years ago