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3 years ago

Find an equation of the line through (3,7) and parallel to y=3x-1

Mathematics

1 answer:

iren2701 [21]3 years ago

7 0

Answer:

y = 3x -2

Step-by-step explanation:

If the line is parallel, that means it has the same slope. The given equation had a slope of 3, so the new line must also have a slope of 3.

You can plug the given coordinates into the slope-intercept form with a slope of 3 to find your answer.

y = m*x + b

7 = 3*3 + b

7 = 9 + b

-2 = b

y = 3x -2

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Evaluate 7(-4) - |-6| + |4| <br> A. 13<br> B.-18<br> C. -30

tester [92]

Hello there!

Answer: ⇒ C. -30

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Step-by-step explanation:

First you had to remove parenthesis.

$-7*4-|-6|+|4|$

Then you multiply by the number.

$=-28-|-6|+|4|$

Apply absolute value.

$|-6|=6$

$=-28-6+|4|$

Again apply absolute value.

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$=-28-6+4$

Simplify it's should be the correct answer.

$=-30$

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Hope this helps!

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Have a great day!

-Charlie

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3 years ago

Find the missing value of the ordered triple that will make the solution to the equation x + 2y – 3z = 8 true.

erica [24]

The missing value of the ordered triple for questions 7,8,9 and 10 will be y=2,x=6,z=0, and z=-5 respectively.

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The given equation in the problem is;

7) (4, ,0)

Substitute the values in the equation;

⇒x+2y-3z = 8,

⇒4+2y-3(0) = 8

⇒2y=8-4

⇒2y=4,

⇒y=4/2

⇒y=2

8) (, -2, -2)

Substitute the values in the equation;

x+2(-2) -3(-2)= 8

x-4+6 =8

x= 8-6+4

x=8-6+4

x=6

9)(2, 3, )

Substitute the values in the equation;

⇒2+2(3)-3z = 8

⇒8-3z = 8

⇒-3z = 0

⇒z = 0/-3

⇒z= 0

10) (-3, -2, )

Substitute the values in the equation;

⇒-3+2(-2) -3z = 8

⇒-7 -3z = 8

⇒-3z = 15

⇒z = 15/-3

⇒z = -5

Hence, the missing value of the ordered triple for questions 7,8,9, and 10 will be y=2,x=6,z=0, and z=-5 respectively.

To learn more, about equations, refer;

brainly.com/question/10413253

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