Answer: Clockwise rotation 80°
Step-by-step explanation:
∠HOF = (360°/9)*2 = 80°
Answer:
Step-by-step explanation:
y=-2x-4
y=5x+5
------------
-2x-4=5x+5
-2x-5x-4=5
-7x-4=5
-7x=5+4
-7x=9
x=9/-7
x=-9/7
y=5(-9/7)+5
y=-45/7+35/7
y=-10/7
Answer: x=-9/7, y=-10/7. (-9/7, -10/7).
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-3x+y=8
2y=6x-10
----------------
6x-2y=10
-3x+y=8
-------------
y=8-(-3x)=8+3x
6x-2(8+3x)=10
6x-16-6x=10
-16=10
no solution
Answer: No Solution
--------------------------------
2y=4(x+3)
y-2x=6
--------------
y=4x+12
y=2x+6
--------------
4x+12=2x+6
4x-2x+12=6
2x+12=6
2x=6-12
2x=-6
x=-6/2
x=-3
y=2(-3)+6=-6+6=0
Answer: x=-3, y=0. (-3, 0).
-------------------------------------
x+2y=4
4x-2y=16
---------------
5x=20
x=20/5
x=4
4+2y=4
2y=4-4
2y=0
y=0/2
y=0
Answer: x=4, y=0. (4, 0).
Answer:
57%
Step-by-step explanation:
From the table you can state that:
- the total number of students is 10,730
- the number of students receiving Finincial Aid is 6,101
Use the definition of the probability
So,
- the number of favorable outcomes = 6,101
- the number of all possible outcomes = 10,730
Hence, the probability is
Answer:
A] The slope of f(x) is greater than the slope of g(x).
Step-by-step explanation:
First, you need to calculate the slope of f(x) and g(x) using the slope formula
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are points of the functions.
To calculate the slope of f(x) you can choose two points from the graph, in this case (0, -1) and (3, 1). Remember you can choose the points you want as long they are on the graph.
m = 1 - (-1) / 3 - 0
m = 1 + 1 / 3
m = 2 / 3
m = 0.66...
To calculate the slope of g(x) you can choose two points from the table, in this case (0, 2) and (5, 4).
m = 4 - 2 / 5 - 0
m = 2 / 5
m = 0.4
So the slope of f(x) is greater than the slope of g(x).
