Answer:
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Step-by-step explanation:
The slope formula tells you the slope is ...
m = (y2 -y1)/(x2 -x1)
Fill in the point coordinates, we find the slope to be ...
m = (6 -9)/(-5 -(-5)) = -3/0
This slope is undefined.
___
It means the line is a vertical line. The constant must match the x-coordinates of the points:
x = -5 . . . . the line through the given points
Answer:
the numbers are 20 and 24
Step-by-step explanation:
The numbers are in the ratio 5 : 6 = 5z : 6z , where z is a multiplier
The numbers sum to 44, thus
5z + 6z = 44
11z = 44 ( divide both sides by 11 )
z = 4
Hence
5z = 5 × 4 = 20
6z = 6 × 4 = 24
The two numbers are 20 and 24
Answer:
The price was decreased by 40%
Step-by-step explanation:
Take the original price and subtract the new price
20-12 = 8
Divide by the original price
8/20 = .4
Change to a percent
40 %
The price was decreased by 40%
Answer:
Trampolinist will land on the trampoline after 0.9 seconds.
Step-by-step explanation:
The function h(t) = -16t² + 15 represents the relation between height 'h' above the ground and the time 't' of the trampolinist.
We have to find the time when trampolinist lands on the ground.
That means we have to find the value of 't' when h(t) = 15 - 13 = 2
[Since trampoline is 2 feet above the ground]
When we plug in the value h(t) = 2
2 = -16t² + 15
2 + 16t² = -16t² + 16t² + 15
16t² + 2 = 15
16t² + 2 - 2 = 15 - 2
16t² = 13


t = 
t ≈ 0.9 seconds
Therefore, trampolinist will land on the trampoline at 0.9 seconds.
Answer: The axis of symmetry is x=1.
Explanation:
The given function is,

The degree of the equation is 2. SInce it is a quadratic function therefore the graph of the function is a parabola.
The axis of symmetry of a parabolic function
is a vertical line,

Since the value of a is 5m b is -10 and c is 7, So the axis of symmetry is,



Therefore, the axis of symmetry is x=1.