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3 years ago

Write an equation of a line that is perpendicular to 4x +2y = 8

Mathematics

1 answer:

Mashcka [7]3 years ago

7 0

Answer:

Step-by-step explanation:

2y = -4x + 8

y = -2x + 4

perp. 1/2

y - 2 = 1/2(x - 6)

y - 2 = 1/2x - 3

y = 1/2x - 1

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Two trains leave Cleveland at the same time. One train travels east and the other travels west. The speed of the westbound train

OlgaM077 [116]

Answer:

The eastbound train travels at 92 mph and the westbound train travels at 96 mph.

Step-by-step explanation:

We know that Velocity = distance / time

If the eastbound train travels at x miles per hour, the westbound train travels at x + 4 mph.

After 3.5 hours, they are 658 miles apart. If we solve for distance the formula given above we have: Distance = velocity x time. We have that the total distance between both trains is 658 miles.

Substituting the values of the problem and solving for x we have

$658 = 3.5x+3.5(x+4)\\658=3.5x+3.5x+14\\644=7x\\92=x$

Thus, the eastbound train travels at 92 mph and the westbound train travels at 96 mph.

6 0

3 years ago

Don is paid $4.75 on each class ring sold. How much will he earn if he sells 90 class rings?

Mice21 [21]

He will earn $427.50 because $4.27 times 90 equals $427.50

8 0

3 years ago

How would I find the polynomial from the factors?

AURORKA [14]

You add and subtract what's in the parentheses and they that will give u your awnser for x I hope I helped u

7 0

3 years ago

What is 3/b=5/20 b=?

MArishka [77]

Answer:

b= 12

Step-by-step explanation:

3/b = 5/20

3/b = 1/4

b= 12

8 0

3 years ago

Re-write the quadratic function below in Standard Form<br> y=-3 (x - 2)² – 7

pav-90 [236]

Answer:

$y=-3x^2+12x-19$

Step-by-step explanation:

we know that

The quadratic equation in standard form is equal to

$y=ax^{2} +bx+c$

we have

$y=-3(x-2)^{2}-7$

This is a quadratic equation in vertex form

Convert to standard form

$y=-3(x^2-4x+4)-7$

Apply distributive property

$y=-3x^2+12x-12-7$

Combine like terms

$y=-3x^2+12x-19$ ----> quadratic equation in standard form

3 0

3 years ago