Write the equation of the line that is parallel to the line y=3x+7 and passes through the

Mathematics

1 answer:

nydimaria [60]2 years ago

5 0

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1) when : x_1= -4 y_1= -14

m= 3 (parallel means same slope)

an equation in the point-slope form is : y +14 =3(x+4)

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Find two consecutive positive even integers such that the square of the first decreased by 64 equals 3 times the second.

IRINA_888 [86]

Answer:

10 and 12

Step-by-step explanation:

let the consecutive even integers be n and n + 2 , then

n² - 64 = 3(n + 2) ← distribute parenthesis

n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )

n² - 3n - 70 = 0 ← in standard form

(n - 10)(n + 7) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 10 = 0 ⇒ n = 10

n + 7 = 0 ⇒ n = - 7

Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12

The 2 numbers are 10 and 12

8 0

3 years ago

Construct three parallel lines. Then construct two arbitrary non parallel transversal of the parallel lines. Make sure that the

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The image lines constructed are called parallel lines. They are parallel because they are all equidistant to each other at every point and at no point between any of the lines will there be an intersection of the three lines.

<h3>What does it mean for two or more lines to be equidistant from each other?</h3>

Equidistance is simply another word for equal in distance. That is, parallel lines maintain equal distance from each other at all points along them.

See the attached construction as well as more insights about parallel lines from the link below.

brainly.com/question/24607467'

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