The answer is..........
A. 9
Answer:
He must sell 8 cards to reach the minimum goal.
Step-by-step explanation:
Giving the following information:
He wants to earn more than $50 at the fair.
He sells his cards for $2 and he has already earned $36.
<u>First, we need to calculate the money required to reach the minimum goal:</u>
51 - 36= $15
<u>Now, we write the inequality:</u>
2*x >15
x= number of cards sold.
x>15/2
x> 7.5
He must sell 8 cards to reach the minimum goal.
(length of tree's shadow)/(height of tree) = (length of person's shadow)/(person's height)
24/x = 8/5
24*5 = x*8
120 = 8x
8x = 120
8x/8 = 120/8
x = 15
The tree is 15 feet tall
Answer:
4(5x - 3y)(5x + 3y)
Step-by-step explanation:
Assuming you require the expression factored.
Given
100x² - 36y² ← factor out 4 from each term
= 4(25x² - 9y²) ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
25x² - 9y²
= (5x)² - (3y)² ← with a = 5x and b = 3y
= (5x - 3y)(5x + 3y)
Thus
100x² - 36y² = 4(5x - 3y)(5x + 3y) ← in factored form
Answer:
Step-by-step explanation:
First problem. If you want a parallel to a given line, you keep the slope.
Then we use the point-slope form of a line
and we plug in there everything we need.
The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.
At this point we have everything, let's replace and write down the line in a better looking form
