Answer: This parabola has 0.3875 x-intercepts,
<span>representing the times when the dolphin's height above water is </span>
0 feet.
The x-intercept is the point where the graph crosses the x-axis, which is when the value is y=0.
The calculation for y=0 would be
<span>Y = -16x2 + 32x - 10
</span><span>0 = -16x2 + 32x - 10
</span>-8x2 + 16x - 5=0
-b +-√(b^2-4ac) /2a=
-16 +-√(16^2-4(-8)(-5)) /2(-8) =
-16+- √(256-160/ -16 =
-16+- √(96/ -16 =
-16+- 9.8/ -16 =
x1= 0.3875
x2= -1.6125
Answer:
The distance from the star to the second checkpoint is 4 miles
Step-by-step explanation:
The complete question in the attached figure
we know that
When you get to the second checkpoint, you are 1/4 of the distance to the finish
so
The distance from the star to the second checkpoint is equal to the total distance multiplied by 1/4
The total distance is 40 miles ( see the attached figure)
so
The distance from the star to the second checkpoint is
<em>Find out the distance from the start to the first checkpoint</em>
Multiply the distance from the star to the second checkpoint by 2/5
Answer:
Step-by-step explanation:
1/25
Answer:
The area is 11317.51
Step-by-step explanation:
The sum of 2 sides must be less than the third side (largest side) for a triangle to be formed.
b+c<a
133+174 < 240
A triangle can be formed
To use Herons formula for the area
We find S = 1/2( a+b+c)
= 1/2(240+133+174)
= 1/2 (547)
= 273.5
Area = sqrt( S (S-a) (S-b)(S-c))
sqrt((273.5 ) (273.5 -240) (273.5-133) (273.5-174))
sqrt((273.5)(33.5) (140.5) (99.5))
sqrt(128085964.4)
11317.50699
The area is 11317.51
The x-intercept is + 6 and the y-intercept is + 10
