Inverse function y = x2 − 18x.

Complete the point-slope equation of the line through (-4, 8) and (4, 4).

avanturin [10]

Answer:

y-4=-1/2(x-4)

Step-by-step explanation:

point slope form: y-y1=m(x-x1)

every time x increases by 8, y decreases by 4. slope can be found by rise/run. the slope is -4/8 which is -1/2, which means m=-1/2. in the given equation, it said y-4. It plugged in 4 for y1, meaning it was talking about the second given point, which was (4,4). plug in 4 for x and you get y-4=-1/2(x-4)

4 0

2 years ago

(3x)²×-3x³ simplify nd give answer in positive exponets

Hitman42 [59]

Answer:

−27x5

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

F(x) = 8,000(0.95)x

soldi70 [24.7K]

Answer:

x=1

Step-by-step explanation:

8000 times .95x= 7600x

7600x/7600=1

x=1

7 0

3 years ago

Brett measured a building to be 100 ft long and 23 ft wide. How could you use what you know about the powers of 10 to quickly sh

sleet_krkn [62]

Add two zeros to the end of 23, and that is the area. 2300 ft^2

3 0

4 years ago

Given the following questions determine if the lines are parallel perpendicular or neither

inna [77]

Given the equations:

$\begin{gathered} \frac{4y+11x}{4}=x+2 \\ \\ 3x-7y=7x+10 \end{gathered}$

Let's determine if the lines are parallel or perpendicular.

Rewrite both equations in slope-intercept form:

y = mx + b

Where m is the slope.

Rewrite each equation for y.

• Equation 1:

$\begin{gathered} \frac{4y+11x}{4}=x+2 \\ \\ 4y+11x=4(x+2) \\ \\ \text{ Apply distributive property:} \\ 4y+11x=4x+8 \\ \\ \text{ Subtract 11x from both sides:} \\ 4y+11x-11x=4x-11x+8 \\ 4y=-7x+8 \\ \text{ Divide all terms by 4:} \\ \frac{4y}{4}=-\frac{7}{4}x+\frac{8}{4} \\ \\ y=-\frac{7}{4}x+2 \end{gathered}$

• Equation 2:

$\begin{gathered} 3x-7y=7x+10 \\ \\ Subtract\text{ 3x from both sides:} \\ 3x-3x-7y=7x-3x+10 \\ \\ -7y=4x+10 \\ \\ \text{ Divide all terms by -7:} \\ -\frac{7y}{-7}=\frac{4}{-7}x+\frac{10}{-7} \\ \\ y=-\frac{4}{7}x-\frac{10}{7} \end{gathered}$

Therefore, we have both equations in slope-intercept form:

$\begin{gathered} y=-\frac{7}{4}x+2 \\ \\ y=-\frac{4}{7}x-\frac{10}{7} \end{gathered}$

• The slope of equation 1 is: -7/4

,

• The slope of equation 2 is: -4/7

Parallel lines have equal slopes.

Perpendicular lines have slopes that are the negative reciprocal of each other.

Since both slopes are neither equal nor negative reciprocals, then both lines are neither parallel nor perpendicular.

• ANSWER:

Neither

7 0

1 year ago