Write an equation of a line that is perpendicular to the line represented by 4x – y = 16 and

1 answer:

7 0

So perp. is the slope flipped and changed signs because they have to equal to -1. so:
first you need to get it into slope intercept form:
4x - y = 16
-4x
-y = 16 - 4x
/-
y = 4x - 16
then flip and change the sign of the slope
y = -1/4x + b
add your coords
4 = -1/4(0) + b
4 = 0 + b
-0
4 = b
then make your new slope intercept form:
y = -1/4x + 4

answer:

y = -1/4x + 4

You might be interested in

Fill in the box to rewrite the expression 5x + 10<br> using the GCF.<br> 5x + 10 = (<br> x) + (5 •

zvonat [6]

The GCF is 5 so the new expression would be: 5(x+2)

7 0

2 years ago

A Lua reflete parte da luz solar que nela incide. Admite que: a luz refletida pela Lua demora 1,28 segundos a chegar à Terra; en

Anuta_ua [19.1K]

Answer:

3.84 * 10^8 meters

Step-by-step explanation:

As the speed of light is 300,000,000 meters/second and the time that the light takes to go from the moon to the Earth is 1.28 seconds, we can find the distance using the formula:

Distance = speed * time

So we have that:

Distance = 300,000,000 * 1.28 = 384,000,000 meters

In cientific notation, we need the first number to be in the interval from 1 to 10, so we have 3.84, and we have to multiply by 10^8 to reach our result, so we have:

Distance = 3.84 * 10^8 meters

4 0

2 years ago

Potatoes: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviatio

katrin2010 [14]

Answer: a) 79.10 % b) 7% c)19.85 %

Step-by-step explanation:

a) Z = ( × - μ ) ÷ σ Where μ mean of population σ standard deviation Z is the abscissa to give the area or probability we are looking for associated to the value 10 ounces ( × )

So: Z = ( 10 - 9 ) ÷ 1.2 ⇒ Z = 1/1.2 ⇒ Z = 0.83 it has to be below this value

From Z tables we get P [ Z ≤ 0.82 ] = 0.7910 0r 79.10 %

b) Following the same procedure: We look for

P [ Z > ( x - μ ) ÷ σ ] ⇒ Z = ( 12 -10 ) ÷ 1.2 = 2.5

From Z table we get the area under the curve from the left tail up to the point Z < 2.5 ( 2.5 not included) but we were asked for the area out of that previous so 1- 0.9930 = 0.007 is the area we are looking for

So P (b) = 0.007 or 7 %

Finally between the two points above mentioned ( 10 ≤ Z ≤ 12 ) we use the previous values (taking in consideration the limits, according to the problem statement )

Z ≤ 10 Z ⇒( 10-9 ) ÷ 1.2 Z = 0.7967

Z ≥ 12 Z ⇒ ( 12 - 9 ) ÷ 1.2 Z = 0.9952

The interval is between these two points

0.9952 - 0.7967 = 0.1985 ⇒ or 19.85 %

The attached help in the understanding of the solution