1/3 y - 18 = 2what is it?

Write an equation of a line in point-slope, slope-intercept, and standard form that has

Inga [223]

Answer:

(a) $y + 4x - 14 = 0$

(b) $y = -4x + 14$

(c) $y + 4x = 14$

Step-by-step explanation:

The formula for calculating the equation of line in point - slope form is given as :

$y-y_{1} = m(x-x_{1} )$

where m is the slope

Given from the question :

m = - 4

$x_{1}$ = 2

$y_{1}$ = 6

Substituting into the formula , we have :

$y - 6 = - 4(x - 2)$

$y - 6 = -4x + 8$

$y + 4x - 6 - 8 = 0$

$y + 4x - 14 = 0$

Therefore :

(a) the equation of the line in point - slope form is $y + 4x - 14 = 0$

(b) to write it in slope - intercept form , we will make y the subject of the formula , which will give : $y = -4x + 14$

(c) the equation of line in standard form is ; $y + 4x = 14$

5 0

3 years ago

Square root of 11025

densk [106]

The square root of 11025 is 105

8 0

3 years ago

How do you solve x(x+h)=x-h for h?

WITCHER [35]

Answer: H = $\frac{-x^{2}+x }{x+1}$

Step-by-step explanation:

Step 1: Add h to both sides.

hx+x²+h=−h+x+h

hx+x²+h=x

Step 2: Add -x^2 to both sides.

hx+x²+h+−x²=x+−x²

hx+h=−x²+x

Step 3: Factor out variable h.

h(x+1)=−x²+x

Step 4: Divide both sides by x+1

3 0

4 years ago

Mailyn loves cookies. She can eat 32 in an hour. Her brother Juan, however, needs 3 hours to eat the same amount of cookies. How

bezimeni [28]

we know that

1) Mailyn can eat 32 cookies in an hour

1 hour is equal to 60 minutes

Find how cookies eats Mailyn in one minute

by proportion

$\frac{32}{60} \frac{cookies}{minutes}= \frac{x}{1} \frac{cookie}{minutes} \\\\ x=32/60\\x=0.53 \ cookies$

2) Juan needs 3 hours to eat 32 cookies

Find how cookies eats Juan in one minute

by proportion

$\frac{32}{180} \frac{cookies}{minutes}= \frac{x}{1} \frac{cookie}{minutes} \\\\x=32/180 \\x=0.18\ cookies$

3) Find how long will it take them to eat 40 cookies together

we know that

Maylin and Juan eats in one minute together ---------> (0.53+0.18)=0.71 cookies

so

by proportion

$\frac{0.71}{1} \frac{cookies}{minutes}= \frac{40}{x} \frac{cookie}{minutes} \\\\0.71*x=40\\x=56.34 \ minutes$

therefore

the answer is

$56.34\ minutes$

4 0

3 years ago

10) A population decreases from 14,500 to 12,035. What is the percent change?

Gnesinka [82]

Answer:

83%

Step-by-step explanation:

14500 .......... 100%

12035 ................x%

x = 12035*100/14500 = 12035/145 = 83%

8 0

3 years ago