Here, Function: h(t)= -16t² + 70t + 40
So, put the value of t, (time at which you want to calculate the height)
h(1) = -16(1)² + 70(1) + 40
h(1) = -16 + 110
h(1) = 94
Now, h(2) = -16(2)² + 70(2) + 40
h(2) = -64 + 180
h(2) = 116
h(3) = -16(3)² + 70(3) + 40
h(3) = -144 + 250
h(3) = 106
In short, Your height depends on time, and at each time it would be different, can be expressed by the coordinates on a Graph: (1, 94) (2, 116) (3, 106)
Hope this helps!
Answer:
73
Step-by-step explanation:
Original number: XY
x = 3y - 2
10y + x = (10x + y) / 2 + 1/2
substitution: 10y + 3y - 2 = 13y - 2 = (10 * (3y - 2) + y) / 2 + 1/2
* 2 both sides and simplify: 26y - 4 = 31y - 19
31y - 26y = -4 + 19
5y = 15
y = 3
x = 7
Original number: 73
Answer:
d) 0.8 mile
Step-by-step explanation:
Coordinate of object B = (6, 6)
Coordinate of object C = (1, 4)
Coordinate of the archaeologist = (6, 1)
✍️Distance between Object B (6, 6) and the archaeologist (6, 1):
Distance = |6 - 1| = 5 units = 5 miles
✍️Distance between Object C (1, 4) and the archaeologist (6, 1):
Using the distance formula,
, we would have:



(nearest tenth)
Comparing how far each object is from the archaeologist, object C is 0.8 mile (5.8 - 5 = 0.8) farther than object B.
Answer:
24 mm
Step-by-step explanation:
Since it is a right triangle, we can use Pythagorean theorem

where a and b are the legs, and c is the hypotenuse.
We know one of the legs is 10, and the hypotenuse is 26, so we can substitute 10 in for a, and 26 in for c.

Solve the exponents

Now, solve for b. To do this, get b by itself.
First, subtract 100 from both sides


Take the square root of both sides

b=24
So, the other leg is 24 mm
Answer:
116
Step-by-step explanation:
348 divided by 3 equals 116