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3 years ago

Please help me solve this equation.

Mathematics

1 answer:

MissTica3 years ago

7 0

Answer:

I solve this equation multiplyed by (-1)

x^2-4x+54=0

with quadratic formula

x1= $\frac{-b+\sqrt{b^2-4ac} }{2a}$ and x2= $\frac{-b-\sqrt{b^2-4ac} }{2a}$

but b^2 -4ac should be positive to exists square root

and 4^2-4*1*54=16-54=-38 is negative

the equation has not solutions integers or rational numbers

so the solutions are (4+iV38)/2 and (4-iV38)/2

Step-by-step explanation:

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Write the equation of the line that passes through the points (8, -4) and (-2,5).

Sladkaya [172]

Answer:

The equation in the slope-intercept form will be:

Step-by-step explanation:

Given the points

(8, -4) and (-2, 5)

The slope between two points

$m=\frac{5-\left(-4\right)}{-2-8}$

$m=-\frac{9}{10}$

As the point-slope form is

$y-y_1=m\left(x-x_1\right)$

substituting the values m = -9/10 and (8, -4)

$y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)$

Writing the line equation in the slope-intercept form

$y=mx+b$

where m is the slope and b is the y-intercept

so the equation in the slope-intercept form will be:

$y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)$

$y+4=-\frac{9}{10}\left(x-8\right)$

subtract 4 from both sides

$y+4-4=-\frac{9}{10}\left(x-8\right)-4$

$y=-\frac{9}{10}x+\frac{16}{5}$

Therefore, the equation in the slope-intercept form will be:

$y=-\frac{9}{10}x+\frac{16}{5}$

7 0

3 years ago

What is the answer to the question-11-(-13)

stepladder [879]

Hello!

I believe the answer is 2.

I hope it helps!

6 0

3 years ago

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What is the answer <br>3y+6=-2x

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7 0

3 years ago

A bag of dog food weighs 31 1/4pounds. After one week 3 1/8 pounds of dog food was used. What fraction of the bag of dog food re

Svetlanka [38]

Answer:

The answer is: there is 89.2% of the dog food remaining.

Step-by-step explanation:

Given: 31 1/4 lbs of dog food.

In one week - 3 1/8 lbs was used.

To find the amount left, subtract:

31 1/4 - 3 1/8 =

30 5/4 - 3 1/8 =

30 10/8 - 3/8 =

27 7/8 remaining.

To find the percent left, divide:

27 7/8 / 31 1/4 =

27.875 / 31.25 = .892.

Multiply by 100 to get percent:

.892 * 100 = 89.2% remaining.

Hope this helps!! Have an Awesome day!!! :-)

3 0

3 years ago

Nathan usually drinks 38 ounces of water per day. He read that he should drink 60 ounces of water per day. If he starts drinking

lesya692 [45]

Answer:

$58\%$

Step-by-step explanation:

First, we need to find how much extra water Nathan drinks.

$60-38=22$ extra ounces.

To find the percent increase:

$\frac{22}{38} =58\%$ (to the nearest percent)

Hope this helps :)

7 0

3 years ago

Please help me solve this equation.​

Please help me solve this equation.