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3 years ago

Given that the solution set to a system of three linear equations is a line, which of the following is true about the system?

Mathematics

2 answers:

Setler79 [48]3 years ago

8 0

The correct answer is:

d) The system can only be dependent and consistent.

Explanation:

In order for the solution to a system of equations to be a line, this means that the lines must lie on top of one another. This means they are the same line; the system is consistent since there is at least one solution, and dependent since all of the points in one equation work for the other equations as well.

notsponge [240]3 years ago

5 0

Answer:

The correct answer is:

#4 The system can only be dependent and consistent.

Step-by-step explanation:

Process of elimination

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Four consecutive odd integers can be represented by n, n+2, n+4, and n+6. If the sum of the 4 consecutive odd integer is 46, wha

fgiga [73]

46 = n + n + 2 + n + 4 + n + 6
46 = 4n + 12

34 = 4n

n = 8.5

Is it definitely 46?

4 0

3 years ago

If m∠ABC = 72°, what is m∠DAB? A) 72° B) 108° C) 144° D) 216°

11111nata11111 [884]

The answer would be B
What you would do is 180-72= 108 degrees

3 0

3 years ago

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A student finds the slope of the line between (14, 1) and (18, 17). She writes . What mistake did she make? She mixed up the x-

IRINA_888 [86]

Answer:

you just said the answer

4 0

2 years ago

Read 2 more answers

Identify any solutions to the system given below.

fiasKO [112]

Answer:
• (6, -7)
• (-4, 13)

Explanation:

• Option One

2x + y = 5
2(6) + (-7) = 5
12 - 7 = 5
5 = 5 {true}

3y = 15 - 6x
3(-7) = 15 - 6(6)
-21 = 15 - 36
-21 = -21 {true}

• Option Two

2x + y = 5
2(2) + 1 = 5
4 + 1 = 5
5 = 5 {true}

3y = 15 - 6x
3(1) = 15 - 6(2)
3 = 15 - 12
3 = 13 {not true}

• Option Three

2x + y = 5
2(-2) + (-9) = 5
-4 - 9 = 5
-13 = 5 {not true}

3y = 15 - 6x
3(-9) = 15 - 6(-2)
-27 = 15 + 12
-27 = 27 {not true}

• Option Four

2x + y = 5
2(-4) + 13 = 5
-8 + 13 = 5
5 = 5 {true}

3y = 15 - 6x
3(13) = 15 - 6(-4)
39 = 15 + 24
39 = 39 {true}

3 0

3 years ago

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Find the are of a parallelogram that has a base of 7 1/2 and a height of 5 2/7

Amiraneli [1.4K]

Use the formula for the area of a parallelogram:

$\sf A=bh$

Plug in what we know:

$\sf A=(7\dfrac{1}{2})(5\dfrac{2}{7})$

Convert both of them into improper fractions. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:

$\sf A=(\dfrac{15}{2})(\dfrac{37}{7})$

Now multiply the numerators and denominators together:

$\sf A=\dfrac{15}{2}\cdot\dfrac{37}{7}\rightarrow\dfrac{15\cdot 37}{2\cdot 7}\rightarrow\dfrac{555}{14}$

Convert it back into a mixed number. 14 goes into 555 thirty-nine times. 14 * 39 = 546. 555 - 546 = 9. So we have 39 wholes and 9 left over, or:

$\sf 39\dfrac{9}{14}$

So this is the area of the parallelogram.

6 0

3 years ago