Answer:
it is 40 that's what I got
#1 second line: x-y=-3
x=y-3(isolating x to prepare for substitution)(what x is equivalent to)
get back to the first line
x+y=5
(y-3)+y=5(substituting the value of x of the first line with the value of x at the second line)(It is a process to find the intersection between the two lines(line#1 and line#2 are two linear functions)
2y-3=5(simplify)
2y=8(simplify)
y=4(simplify)
line#1 x+y=5
x+(4)=5(plug the value of y back into either line#1 or line#2 will work)(plugging in the y value of the point of intersection to solve for the x value of the point of intersection)
x=1(solve)
the two linear lines intersect at the point(1(x coordinate), 4(y coordinate))(1,4)
#2 (line#1) y=3x-1
(line#2) 2x+y=14
2x+(3x-1)=14
5x-1=14
5x=15
x=3
y=3(3)-1
y=9-1
y=8
(3,8)
#3 line#1 2x+3y=8
line#2 6x+9y=24
2x=8-3y
x=(8-3y)/2
6((8-3y)/2)+9y=24
24-9y+9y=24
24=24
(those two lines are on top of yeach other/the same line)
any point on the line
#4 line#1 3x-4y=12
line#2 y=3/4x-4
3x-4(3/4x-4)=12
3x-3x+16=12
16=12
parallel lines: lines with same slope and different y-intercept
No solution/they never intercept each other
I hope it is helpful, if you have any question, I will answer ASAP
Answer:
Equation of a circle:
radius = the sq. rt of (x - h)^2 + (y - k)^2
Plug in the values for the center of a circle and the radius:
15 = the sq. rt of (x + 9)^2 + (y + 4)^2
(x + 9)^2 + (y + 4)^2 = 225
The answer is A or the first one.
Answer:
It means his IQ score is better than 91% of the other students scores and scored less than only 9% of the other students.
Step-by-step explanation:
Percentile is not the same as percentage. While percentage is the score gotten out of 100, whereas, percentile means that you are scored better than that percentage of people.
Thus, for his IQ score to be in 91st percentile, it means he scored above 91% of the other students, and only scored lesser than 9% of the students.