Simplifying
2x + -15 = 35
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Reorder the terms:
-15 + 2x = 35
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Solving
-15 + 2x = 35
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 2x = 35 + 15
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Combine like terms: -15 + 15 = 0
0 + 2x = 35 + 15
2x = 35 + 15
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Combine like terms: 35 + 15 = 50
2x = 50
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Divide each side by '2'.
x = 25
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Simplifying
x = 25
This is the concept of trajectories;
We are required to calculate the time taken for the base ball whose distant to reach the maximum height has been modeled by h=-16t^2+64t+4.2 took to hit the ground. Here we proceed as follows;
At the time when the base ball hits the ground the height,h=0
Thus;
-16t^2+64t+4.2=0
this is a quadratic equation, to solve the quadratic equation we use the formula;
t=[-b+/- sqrt(b^2-4ac)]/(2a)
where;
a=-16,b=64, c=4.2
thus substituting the values in our formula we get:
t=[-64+/-sqrt(64^2-4*(-16)*4.2)]/(-16*2)
t=[-64+/- sqrt(4364.8)]/(-32)
t=[-64+/-66.1]/(-32)
t=4.1 or-0.1
thus the we take the positive value t=4.1 and we conclude that the time taken for the ball to hit the ground was 4.1 seconds
Answer:
a. 0.81818182
b. 0.8
c. -3.4
d. 0.55555556
Step-by-step explanation:
Answer:
f=260
Step-by-step explanation:
Answer:
(6,8)
Step-by-step explanation:
midpoint=(x1+x2)÷2,(y1+y2)÷2
a(4,15) b(8,1)
x=4+8=12÷2=6
y=15+1=16÷2=8
Answer=(6,8)