(5,-3)(-2,9)
slope(m) = (y2 - y1) / (x2 - x1)
slope(m) = (9 - (-3) / (-2 - 5) = (9 + 3) / -7 = - 12/7
y - y1 = m(x - x1)....point slope form
slope(m) = -12/7
(5,-3)...x1 = 5 and y1 = -3
now we sub...and pay close attention to ur signs
y - (-3) = -12/7(x - 5).....we are not done yet...
y + 3 = -12/7(x - 5) <== ur answer
Answer:
49x² + 42x + 9
Step-by-step explanation:
Given
(7x + 3)²
= (7x + 3)(7x + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
7x(7x + 3) + 3(7x + 3) ← distribute both parenthesis
= 49x² + 21x + 21x + 9 ← collect like terms
= 49x² + 42x + 9
Answer:
Step-by-step explanation:
Draw a triangle and label the sides (picture below):
● the length is 2x+2
● and the width or the height is 6x
The perimeter of a rectangle is the sum of the sides
● P = 2x+2 + 6x + 2x+2 + 6x
Isolate the similar terms
● P = (2x+2x+6x+6x) + (2+2)
● P = 16x + 4
Answer:
10 hours for the month
Step-by-step explanation:
<u>What you know</u>: The total amount Jorge was charged for the month was $25
The base rate is $15
He gets charged $1 per each hour
<u>Setting it up</u><u>:</u>
15+1h=25
(the 15 is the base rate, plus the 1 dollar per hour (h) which both add to the total of 25 dollars for the month)
Subtract 15 from both sides of the equation to get your variable by itself
1h=10
then divide the 1 on both sides to get h (hours) by itself
h=10
And there's your answer, 10 is the number of hours that Jorge was charged for the month
Hopefully this helped :))
Answer:
Frequency values
Step-by-step explanation:
The heights of the bars of a histogram correspond to the frequency values of the given data.