All categories

3 years ago

Please help me !!!!!! I need help

Mathematics

1 answer:

kvv77 [185]3 years ago

3 0

Answer:

y +8 = -4(x -8)

Step-by-step explanation:

You recognize that the given equation is in slope-intercept form:

y = mx + b

with m = 1/4 and b = 5.

A perpendicular line will have a slope that is the negative reciprocal of this value of m, so the desired slope is ...

-1/m = -1/(1/4) = -4

The point-slope form of the equation for a line is ...

y -k = m(x -h) . . . . . for slope m through point (h, k)

Using m=-4 and (h, k) = (8, -8), the point-slope form of the equation for the line you want is ...

y +8 = -4(x -8)

You might be interested in

Write the equation of the circle with center (3, 2) and (−6, −4) a point on the circle.

yulyashka [42]

The equation for a circle is as followed:

$(x-h)^2+(y-k)^2=r^2$

where the center of the circle is at (h,k) and the radius of the circle is r.

We are given (h,k) and need to find the radius. To do so, we can use the distance formula to find the distance from the center to the point on the circle:

$d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

Plug in the two points:

$d= \sqrt{(3-(-6))^2+(2-(-4))^2}$

$d= \sqrt{(9)^2+(6)^2}$

$d= \sqrt{117}$

If the distance from the center to the edge of the circle is the square root of 117, then r^2 = 117.

The answer is:

$(x-3)^2+(y-2)^2=117$

6 0

3 years ago

Find the average rate of change between f(-7) and f(-1) in the function f(x)=x^2+2x -8

Viktor [21]

Solve the equation by replacing x with -7 and then -1.

Then subtract the two to find the difference and divide that by the difference between -7 and -1.

f(-7) = -7^2 + 2(-7) -8 = 49 -14 -8 = 27

f(-1) = -1^2 + 2(-1) -8 = 1 -2 - 8 = -9

Difference between 27 and -9 = -36

Difference between -1 and -7 = -6

Rate of change = -36 /-6 = 6

3 0

3 years ago

An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, r

Studentka2010 [4]

Step-by-step explanation:

The equation is given by :

63.25=800r+3.50

Here,

63.25 is the electric company charges

3.5 is an administrative fee

800 is charge per kilowatt hours

r is rate per kilowatt hour

In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.

We can solve it as follows :

63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)

59.75=800r

$r=\dfrac{59.75}{800}\\\\r=0.0746$

8 0

3 years ago

Add the integers. 1. -2 +(-5) 2. -2 +(-2) 3. -13 +9

Maru [420]

-7 because when it’s +(-) it’s always the same as the outside sign
-4 same thing explained above
-4

hope this helps

7 0

2 years ago

Jon weighs 148 lbs and hopes to gain 2 lbs a week. Matt weighs 193lbs and hopes to lose 1 lb a week. How many weeks until they w

kap26 [50]

It would take 15 weeks and they would meet at 178lbs.

6 0

3 years ago