Help please my brain be hurty

The square of a number minus six times a number equals negative five.

olga_2 [115]

Answer:

x² - 6x = -5

x = {1, 5}

Step-by-step explanation:

The square of a number minus six times a number equals negative five.

x² - 6x = -5

Add 5 to both sides

x² - 6x + 5 = 0

Factor

(x - 1)(x - 5) = 0

x = {1, 5}

3 0

3 years ago

Read 2 more answers

Whats -3x - 9 = -6x+ 18?

Zinaida [17]

Answer:

3

Step-by-step explanation:

-3x-9=-6x+18

-9x=27

x=3

4 0

2 years ago

Read 2 more answers

Consider the line y = 7x-9.

KatRina [158]

$y = \frac{-1}{7}x -\frac{8}{7}$ is the equation of the line that is perpendicular to this line and passes through the point (6, -2)

y = 7x - 44 equation of the line that is parallel to this line and passes through the point (6, -2)

Solution:

Given that line is:

y = 7x - 9

The equation of line in slope intercept form is given as:

y = mx + b ------ eqn 1

Where, "m" is the slope of line and "b" is the y intercept

On comparing eqn 1 with y = 7x - 9 we get,

m = 7

<h3>Find the equation of the line that is perpendicular to this line and passes through the point (6, -2)</h3>

We know that,

Product of slope of a line and slope of line perpendicular to given is always -1

Therefore,

$7 \times \text{ slope of line perpendicular to it } = -1\\\\\text{ slope of line perpendicular to it } = \frac{-1}{7}$

Now find the equation of line:

$\text{ Substitute } m = \frac{-1}{7} \text{ and } (x, y) = (6, -2) \text{ in eqn 1}$

$-2 = \frac{-1}{7} \times 6 + b\\\\-2 = \frac{-6}{7} + b\\\\b = -2+\frac{6}{7}\\\\b = \frac{-14+6}{7}\\\\b = \frac{-8}{7}$

$\text{Substitute } m = \frac{-1}{7} \text{ and } b = \frac{-8}{7} \text{ in eqn 1}\\\\y = \frac{-1}{7}x -\frac{8}{7}$

Thus the equation of line perpendicular to given line is found

<h3>Find the equation of the line that is parallel to this line and passes through the point (6, -2)</h3>

Slopes of parallel lines are equal

Therefore, m = 7

Substitute m = 7 and (x, y) = (6, -2) in eqn 1

-2 = 7(6) + b

-2 = 42 + b

b = -44

Substitute m = 7 and b = -44 in eqn 1

y = 7x - 44

Thus equation of line parallel to given line is found

8 0

3 years ago

The floor of the school music room is being tiled. The room is shaped like a parallelogram. The parallelogram has a base of 25 f

Ad libitum [116K]

Answer:

Number of tile package need = 55 package of tile

Step-by-step explanation:

Given:

Base of parallelogram = 25 feet

Height of parallelogram = 11 feet

Each package of tile cover = 5 square feet

Find;

Number of tile package need

Computation:

Area of parallelogram = Base of parallelogram x Height of parallelogram

Area of parallelogram = 25 x 11

Area of parallelogram = 275 square feet

Number of tile package need = Area of parallelogram / Each package of tile cover

Number of tile package need = 275 / 5

Number of tile package need = 55 package of tile

4 0

3 years ago

16 more than the product of a number and four is -2. What is the number

marishachu [46]

Answer:

x=-4.5

Step-by-step explanation:

Rewrite the problem as an equation:

4x+16=-2

1) Subtract 16 from both sides:

4x=-18

2) Divide both sides by 4:

x=-4.5

3 0

3 years ago

Read 2 more answers

Help please my brain be hurty​

Help please my brain be hurty