Answer: (8,1)
Step-by-step explanation:
The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b
b = 3 2/3
The equation for the line is y = -(1/3)x + 3 2/3
The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1
The point is (8,1)
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let the original price = x
To begin with, we will convert the word problem into an equation as displayed below:
( x / 2 ) - 8 = 18
Now, to find the original price we will simply make ( x ) the subject and solve accordingly as displayed below:
( x / 2 ) - 8 = 18
( x / 2 ) = 18 + 8
( x / 2 ) = 24
x = 24 × 2
x = $48
CHECKING THE ANSWER:
In order to check if the answer is correct, simply substitute the value of x into the original equation and solve. If the left-hand and right-hand side are equivalent, then the answer is correct as displayed below:
( x / 2 ) - 8 = 18
( 48 / 2 ) - 8 = 18
24 - 8 = 18
18 = 18
Therefore, the answer is:
x = $48
Sorry bro, maybe next time :/
So...the diameter is increasing at a rate if 2cm/minute, therefore the radius (1/2 the diameter) is increasing at half the rate. You will learn how to calculate the rate of change at a specific point in time in calculus.
Answer:
Step-by-step explanation:
To make this a bit easier to see, we'll expand that expression.
R to the 9th is just r times itself 9 times. R to the third is r times itself 3 times.
(excuse my bad formatting)
<u>The expression:</u>
<u>r • r • r • r • r • r • r • r • r • 1</u>
r • r • r • 1
Remember, anything and everything has a coefficient or denominator of 1.
So, we can cancel 3 r's from the numerator and denominator.
<u>r • r • r • r • r • r • 1</u>
1
Simplify....
That just equals .
