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2 years ago

What is the line of the equation PARALLEL to the line y=3x+4 and through the y-intercept of -6?

Mathematics

2 answers:

Eddi Din [679]2 years ago

7 0

Answer:

y = 3x - 6

Step-by-step explanation:

The line here is parallel

Slope remains the same
Y-intercept is now -6

Equation of line

y = mx + c [where m = slope and c = y-intercept]
y = 3x - 6

DerKrebs [107]2 years ago

6 0

Parallel lines have slopes that are equal to one another.

Slope intercept form is:

y = mx + b (where m = slope and b = y-intercept)

the equation of the 1st line

y = 3x + 4 so it’s slope (m) = 3

the problem tells us the y-intercept of the second line is -6.

so we plug the two knowns into slope intercept form to get the equation of the second line:

y = 3x - 6

I hope this helps and is the BRAINLIEST!

Great luck with your studies :)

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Which expressions are equivalent to 1.5?

3241004551 [841]

Answer:

B and C

Step-by-step explanation:

We can just solve each to find which expressions are equal to 1.5.

A) 0.15 × 100 = 15

B) 15.0 ÷ 10 = 1.5

C) 0.15 × 10 = 1.5

D) 0.15 ÷ 10 = 0.015

E) 1.5 ÷ 100 = 0.015

From our results, we see that B and C are the only answers that equal 1.5.

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2 years ago

4. The range of a relation is given -3, 2, 0, 13, 17 Which domain makes the relation not a function? A. 0, 1, 2, 3, 4 B. 1,1, 2,

faust18 [17]

The domain that makes the relation not a function is c

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2 years ago

Her 6. Karen buys a sweatshirt for $30. The sales

Fynjy0 [20]

Answer:

32.1

Step-by-step explanation:

you take 30 times .07 (this was 7% but since you need it to be a decimals you move it over 2 places left). You should get 2.1 and then you add the 2.1 and 30 to get 32.1

7 0

2 years ago

Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.

tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: $\frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3}$ square units

(22)

Similar to (21)

Area = $216\sqrt{3}$ square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

$altitude=\frac{\sqrt{3}}{2}*side$