Answer:
m= -3/2
Step-by-step explanation:
First, we must find the slope of the line given. We are given the equation:
y-2/3x=2
We must get this equation in slope-intercept form: y=mx+b (where m is the slope and b is the y-intercept). In order to do this, we must get y isolated.
2/3x is being subtracted from y. We want to preform the inverse, so we should add 2/3x to both sides.
y-2/3x+2/3x=2+2/3x
y=2+2/3x
Rearrange the terms.
y= 2/3x+2
Now the equation is in slope intercept form. (y=mx+b). 2/3 and x are being multiplied, so we know that the slope is 2/3.
Now, we have to find the perpendicular slope. Perpendicular lines have negative reciprocal slopes.
1. Negative
m=2/3
Negate the slope.
m= -2/3
2. Reciprocal
m= -2/3
Flip the numerator (top number) and denominator (bottom number).
m= -3/2
The perpendicular slope is -3/2
Answer:
Point form : (2,-1)
Equation form : x=2,y=-1
Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.
Hope this helps you out! ☺
-Leif Jonsi-
Answer:
a. 47
b. 87
c. 127
Step-by-step explanation:
Assume a total of 4 exams ( first 3 plus a final)
Let final score be X,
Hence, average score = (85 + 71 + 77 + x) / 4 = (233 + x) / 4
a) to get a C, the average score must be 70
70 = (233 + x) / 4
(233 + x) = 70 (4) = 280
x = 280 - 233 = 47 (Ans)
b) to get a B, the average score must be 80
80 = (233 + x) / 4
(233 + x) = 80 (4) = 320
x = 320 - 233 = 87 (Ans)
c) to get a A, the average score must be 90
90 = (233 + x) / 4
(233 + x) = 90 (4) = 360
x = 360 - 233 = 127 (Ans)
Answer: 240 people get the news from social media
Step-by-step explanation:
The ratio of the number of people who get their news from social media to the number of people who their news elsewhere is 3:7
Total ratio is the sum of the proportion of those that get their news from social media and those that got their news elsewhere.
It becomes 3+7 = 10
Total number of people in the town is 800
To determine the number of people that got their news from social media, we will divide the proportion of those that get their news from social media by the total ratio and multiply by the total number of people in the town. It becomes
3/10 × 800 = 240
Answer:
6m
Step-by-step explanation:
h=3(/V
πr^2)=3(226/
π·6^2)≈5.99484
round to 6
