Please help I don’t understand it

Y=8x-2, find the equation of the line that is perpendicular to this line and passes through the point (-5, -6)

Eddi Din [679]

Slope-intercept form: y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be perpendicular, their slopes have to be negative reciprocals of each other (flip the sign +/- and the fraction/switch the numerator and the denominator)

For example:

Slope = -2 or $-\frac{2}{1}$

Perpendicular line's slope: $\frac{1}{2}$ (flip the sign from - to +, and flip the fraction)

Slope = $\frac{1}{3}$

Perpendicular line's slope = $-\frac{3}{1}$ or -3 (flip the sign from + to -, flip fraction)

y = 8x - 2 The slope is 8, so the perpendicular line's slope is $-\frac{1}{8}$ .

Now that you know the slope, substitute/plug it into the equation:

y = mx + b

$y=-\frac{1}{8} x+b$ To find b, plug in the point (-5, -6) into the equation, then isolate/get the variable "b" by itself

$-6=-\frac{1}{8} (-5)+b$ (Two negative signs cancel each other out and become positive)

$-6=\frac{5}{8} +b$ Subtract 5/8 on both sides to get "b" by itself

$-6-\frac{5}{8} =b$ (To combine fractions, they need to have the same denominator, so multiply -6 by 8/8 so that they will have the same denominator)

$(\frac{8}{8}) (-6)-\frac{5}{8} =b$

$-\frac{48}{8} -\frac{5}{8}$ = b Now combine the fractions

$-\frac{53}{8} =b$

$y=-\frac{1}{8} x-\frac{53}{8}$

3 0

4 years ago

What's the numerator for the following rational<br> expression?<br> 4/n + 8/n=?/n

dimaraw [331]

Answer:

$\frac{12}{n}$

Step-by-step explanation:

Since the numerator are like terms so you just add them together and leave the denominator the same.

$\frac{4}{n} +\frac{8}{n} = \frac{12}{n}$

4 0

3 years ago

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the deman

HACTEHA [7]

Answer:

dx/dt = 12 (in thousands of units /week)

Step-by-step explanation:

We have from problem statement that:

8*p³ + x² = 104 (1)

Where p is price in $, and "x" is the weekly sales in thousands of units

All variables x and p change in relation to time then

Differentiating on both sides of the equation, we get:

24*p²*dp/dt + 2*x*dx/dt = 0 (1)

We need to find dx/dt and we know

p = 20

x = 200

And price is falling at the rate of 0,5 $/week

Then plugging these values in equation (1)

24*p²*dp/dt = - 2*x*dx/dt

24*(20)²(-0,5) = -400*dx/dt

-4800 = -400*dx/dt

dx/dt = 4800/400

dx/dt = 12 (in thousands of units /week)

5 0

4 years ago

Identify all rays and lines in the picture below.<br> (Full question above)

Arte-miy333 [17]

Answer:

$\bold{Rays:}\ \overrightarrow{EA},\ \overrightarrow{EB},\ \overrightarrow{EC},\ \overrightarrow{ED},\ \overrightarrow{DE},\ \overrightarrow{BE}\\\\\bold{Lines:}\ \overleftrightarrow{ED},\ \overleftrightarrow{BE}$

Step-by-step explanation:

Look at the picture.

4 0

3 years ago

Fifty people were surveyed about their favorite

Dimas [21]

4% of 50 is 2, so that’s your answer

7 0

3 years ago

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