Answer:
y = (9/4)x + 2, given that I've assume the correct meaning of "-5x4."
Step-by-step explanation:
A parallel line has the same slope as the reference line,
The reference line is 9x-4y = -5x4, as written. I'm not sure the 4 belongs, but I'll assume it is written correctly. I'm not sure if the term -5x4 is meant to mean -5x^4, -20x or -20. I'll assume -20:
9x-4y = -20
Put the equation into standard slope-intercept form: Y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
-4y = -9x - 20
y = (9/4)x + 5
This line has a slope of (9/4). The parallel line will have the same slope.
y = (9/4)x + b
We can find a value of b that would shift this line to include (4,7) by using this point in the equation:
y = (9/4)x + b
7 = (9/4)(4) + b
7 = 9 + b
b = 2
The equation of a line parallel to the reference line is y = (9/4)x + 2
Answer: 3
Explanation: If you cross multiply, 1x18= 18
And 18/6 equals 3
Hope this helps!
Answer:
72
Step-by-step explanation:
Given that:
P(Red) = Probability of randomly choosing a red
Probability of randomly choosing a red = 7/12
Number of red marbles = 42
The number of marbles in the bag :
P(Red) = number of red marbles / total number of marbles
Total number of marbles = (red marbles + blue marbles)
P(red) = 7/ 12 ;number of red = 42
P(Red) = number of red marbles / total number of marbles
Let:
x = total number of marbles
7/12 = 42 / x
(7/ 12)x = 42
7x / 12 = 42
7x = 12 * 42
7x = 504
x = 504 / 7
x = 72
Answer:
Step-by-step explanation:
Clara is incorrect. When you do the math, 4 squared is basically saying multiply four times four. Which equals Sixteen. When you divide Sixteen by two you get eight, not four. My math is listed below.
4^2 (4 • 4) = 16
16/2 = 8