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3 years ago

-x + 4y = 6 what is the slope of the line in equation above Quick pleaseee

Mathematics

1 answer:

Marina86 [1]3 years ago

6 0

Answer:

-1

Step-by-step explanation:

y=mx+c / the number in front of X is the slop or the gradient number

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Write the equation of the line in fully simplified slope intercept form

aleksandrvk [35]

Answer:

y = 3x - 8

Step-by-step explanation:

m = slope

slope = y2 - y1 / x2 - x1

4 - 1 / 4 - 3 = 3/1 = 3

m = 3

b = y-intercept

b = -8

y = mx + b

y = 3x + (-8)

y = 3x - 8

4 0

2 years ago

Complete the statements.

spayn [35]

Answer:

1. 30

2. 150

Step-by-step explanation:

$3tan^2(x)-1 =0$

Lets assume tan(x) = u

$3u^2(x)-1 =0$

Now we solve for 'u'

add 1 on both sides

$3u^2(x) =1$ , divide both sides by 3

$u^2 = \frac{1}{3}$

Take square root on both sides

$u = +-\frac{1}{\sqrt{3} }$

We replace tan(x) for 'u'

$tan(x) = +-\frac{1}{\sqrt{3} }$

x = 30 because $tan(30) =+\frac{1}{\sqrt{3} }$ in first quadrant

x = 30 (tan is positive in first quadrant)

$tan(x) =-\frac{1}{\sqrt{3} }$

x = 150 because $tan(150) =-\frac{1}{\sqrt{3} }$ in second quadrant

tan is negative in second quadrant

4 0

3 years ago

The number 75 can be written as the sum of the squares of 3 different positive integers. what is the sum of these 3 integers? 17

ioda

$75=7^2+5^2+1^1\\\\ 7+5+1=13$

6 0

3 years ago

2 x — = ——— 7 z + 10 x = ???

zysi [14]

Answer:

Step-by-step explanation:

2x-3y+z=-3 , x-5y+7z=-11 , -10x+4y-6z=28

7 0

2 years ago

A map of a rectangular park has a length of 4 inches and a width olo and a width of 6 inches. It uses a scale of 1 inch for ever

Zielflug [23.3K]

Answer:

The actual area of the park is 21,600 miles square.

Step-by-step explanation:

Step 1: Calculate the area of the park

Area of rectangle = Length x width

Length = 4 inches

Width = 6 inches

Scale factor is given as, 1 inch = 30 miles.

So, converting the length and width in miles by using the scale factor, we get

Length = 4 * 30 = 120 miles

Width = 6 * 30 = 180 miles

The formula of finding the area of an rectangle is:

Area = length x width

By putting the values in equation, we get

Area = 120 x 180

Area = 21,600 miles square

Therefore, the actual area of the park is 21,600 miles square.

8 0

3 years ago