Answer:
48
Step-by-step explanation:
45x4
Answer: A.) It is a linear function because there is a constant rate of change in both the input and output values.
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Explanation:
Note how x is decreasing by 3 each time
- -2-3 = -5
- -5-3 = -8
- -8-3 = -11
At the same time, y is also decreasing by 3 each time
This means we have a linear function. We have,
slope = (change in y)/(change in x)
slope = (-3)/(-3)
slope = 1
Recall that slope is another term for rate of change, so a constant slope means we have a constant rate of change.
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Another way to find the slope is to pick any two points from the table and use the slope formula
m = (y2 - y1)/(x2 - x1)
You should find that any two points you pick will lead to a slope of 1. I recommend you try out all possible pairs to help convince yourself the slope is 1.
X= width of the path.
we can suggest this equation:
(20+2x)(28+2x)=1584
we solve this equation:
(20+2x)(28+2x)=1584
560+40x+56x+4x²=1584
4x²+96x-1024=0
4/4x²+96/4x-1024/4=0/4
x²+24x-256=0
We solve this square equation:
x=[-24⁺₋√(576+1024)]/2=(-24⁺₋40)/2
we have two solutions:
x₁=(-24-40)/2=-32 this solution is not valid.
x₂=(-24+40)/2=8
Answer: the width of the path is 8 m.
Answer:
Options 1,2,6,7 are correct statements.
Step-by-step explanation:
In the given figure lines m and n are cut by a transversal t.
Among all the statements the options that are correct are :
1)<1 and <5 are corresponding angles.(The angles in matching corners are called corresponding angles)
2)<3 and <6 are alternate interior angles .(The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles)
6)<4 and <6 are same side consecutive angles.(consecutive angles lie on the same side of the transversal)
7)<1 and <8 are alternate exterior angles.( These angles lie on the exterior side of the lines and on opposite side of the transversal)
