Write an equation of the line that is:a) parallel to the line y=2x-4, and has a y-intercept of 7
   b) parallel to the line y-3x=6, and has a y-intercept of -2
   c) parallel to the line 2x+3y=12, and that passes through the origin
   d) perpendicular to the line y=3x+2, and has a y-intercept of 2
   e) perpendicular to the line 3y+4x=18, and that passes through the origin

   please answer all these question

Answers

Answer 1

Answer: Lines that are parallel will have the same slope. Lines that are perpendicular will have slopes that are the negative reciprocal of each other.

(a) parallel to the line y=2x-4, and has a y-intercept of 7
slope of first line: 2
slope of second line: 2
y=mx + b
y=2x+7

(b) parallel to the line y-3x=6, and has a y-intercept of -2
y=3x+6
slope of first line: 3
slope of second line: 3
y=mx + b
y=3x-2

(c) parallel to the line 2x+3y=12, and that passes through the origin
3y=-2x+12
y=-2/3x+4
slope of first line: -2/3
slope of second line: -2/3
origin: (0,0)
y=mx + b
y=-2/3x + 0
y=-2/3x

(d) perpendicular to the line y=3x+2, and has a y-intercept of 2
slope of first line: 3
slope of second line: -1/3
y=mx + b
y=-1/3x + 2

(e) perpendicular to the line 3y+4x=18, and that passes through the origin
3y=4x+18
y=4/3x+6
slope of first line: 4/3
slope of second line: -3/4
origin: (0,0)
y=mx + b
y=-3/4x + 0
y=-3/4x

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A football team has four chances with the ball to gain ten yards and keep going to try to make a touchdown. A team gained 7 yards, lost 2, gained 4, and lost 1.

Answers

7 - 2 = 5

5 + 4 = 9

9 - 1 = 8

Sp the total yards they moved was 8 yards.

Hope I helped ya!

So, if losing yards represented by negatives and gaining yards is represented by positives, the equasion whould look like this:
7+(-2)+4+(-1)

The assosiative property tells us that we can group numbers together, like this:
7+4+(-2)+(-1)

And if it helps, add parentheses like this:

(7+4)+(-2)+(-1)

And solve those first:
(11)+(-2)+(-1)

And solve -2+-1
(11)+(-3)

And that equals:
-8

Hope this helps you out!

Can y’all please help

Answers

Given: f(x) = 2x^2 +5sqrt(x-2)

Evaluate this for x=6:

f(6) = 2(6)^2 + 5sqrt(6-2) = 72 + 5(2) = 72 + 10 = 82 (answer)

In a 40-gallon tank, there are 21 goldfish and 7 tetra fish. Write the ratio of tetra fish to the total number of fish.

Answers

Answer:

1:4

Step-by-step explanation:

First we need to find the total number of fish

21 goldfish + 7 tetra fish = total fish

28 fish = total fish

tetra: total

7: 28

We can divide each of these numbers by 7

7/7:28/7

1:4

is the ratio.

Answer: There are 7 tetra fish and the total is 28 fishes.

Step-by-step explanation:

If x= -3 and y= -2, find z when z = 2x y^2

Help please :) Im lost and so confused

Answers

z=2x(y^2)

z=-6(-4)

z=24

What do a decimal number and a thumbtack have in common?

Answers

They both have a point!

Hope I Helped You!!! :-)

Have A Good Day!!!

What is 10 = -9/2x - 7 - 3/2x
A = -17/6
B = -1/2
C = 17
D = 17/6

Answers

Answer:

x= -17/6

Step-by-step explanation:

10=-9/2x-7-3/2x

multiply all by 2

20=-9x-14-3x

add -9x to -3x

20=-12x-14

replace 20 with -12x and put -12x as a positive

12x=-14-20

add -14 to -20

12x=-34

divide both sides by 12

x= -17/6

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