What is the least common multiple of 5 and 2?

Answers

Answer 1

Answer: 1 is the least common multiple

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After t sec. a ball tossed in the air from ground level reaches a height of h feet given by the equation: h=144t-16t^2a. what is the height of the ball after 3 sec.? 288 ft.

b. what is the maximum height the ball will reach

c. find the number of seconds the ball is in the air when it reaches 224 ft in height

d. after how many sec. will the ball hit the ground before rebound?

I am not sure which equation to use and why for the b,c,and d. If I find the ft/sec. that the ball travels (96), and set the quadratic equation to -16t^2+144t+288 or 16t^2-144t-288=0, is this correct? Or should I use the quad formula and why.

Answers

Don't modify the equation. It is true that f(3)= 288 for f(t) = -16t^2 +144t

the maximum height of the ball will be where the derivative is zero. In other words you could find the height of the ball by converting this into vertex form, or you could find it by calculating the time needed for the ball to reach its maximum height.

0=-32t+144

t=3 till max and max is 288

224=-16t^2 +144t
0= -16t^2+144t-224

t=2 but then the ball will reach 224 ft again at t=7

the ball reaches its maximum height at t=3 seconds and a parabola is symmetric, so at t=6 seconds it will contact the ground again.

Determine whether (6,4) is a solution of y = 19x - 2.

Answers

Answer:

Not a solution

Step-by-step explanation:

To determine if a pair of coordinates is the solution to an equation, just plug it in.

Given that the equation is:

y = 19x - 2

And the coordinates they give us to evaluate:

(6, 4)

Plug the coordinates in:

y = 19x - 2

4 = 19(6) - 2

4 = 114 - 2

4 = 112

4 ≠ 112

4 is not equal to 112. Therefore this pair is not the solution.

Answer: No, it's not a solution.

Explanation

The point (6,4) tells us that x = 6 and y = 4 pair up together.

Plug those values into the equation. Simplify both sides as much as possible (use PEMDAS). If we get the same thing on both sides, then that point is a solution to the equation.

y = 19x - 2

4 = 19*6 - 2

4 = 114 - 2

4 = 112

We get different values on each side. Therefore, the point (6,4) is not a solution to the equation.

Another approach you could do is graph the equation using a tool like Desmos. GeoGebra works as well. The point (6,4) is not on the diagonal line. Check out the diagram below to see what I mean.

Simplify the expression:
25 - 3(5x - 6) - 22x

Answers

Answer:

yup

Step-by-step explanation:

Someone help please ASAP.In∆ABC, m
a) How are the measures of m
b) Solve for x:

Answers

$3x+9+8x+11+5x-8=180\n16x=168\nx=10.5\n\nm\angle BAC=3\cdot10.5+9=40.5\nm\angle ABC=8\cdot10.5+11=95\nm\angle BCA=5\cdot10.5-8=44.5\n\n$

A quadrilateral PQRS is inscribed in a circle, as shown below: A quadrilateral PQRS is inscribed in a circle. The measure of angle PQR is 80 degrees. What is the measure of arc PQR?