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2 years ago

Shown below is a trapezium, name a line perpendicular to AD.

Mathematics

1 answer:

kramer2 years ago

6 0

Answer:

answer is yesterday was thrusdays

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A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function

Nitella [24]

Step-by-step explanation:

We have,

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :

$h=-16t^2 + 36t + 10$ ......(1)

Part (a) :

The maximum height reached by the ball is given by :

$\dfrac{dh}{dt}=0\\\\\dfrac{d(-16t^2 + 36t + 10)}{dt}=0\\\\-32t+36=0\\\\t=\dfrac{36}{32}\\\\t=1.125\ s$

Part (b) :

The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :

$h=-16(1.125)^2 + 36(1.125)+ 10\\\\h=30.25\ m$

7 0

3 years ago

Nces

saul85 [17]

Answer:

d. am

Step-by-step explanation:

nces am late for the movie last we night :3

8 0

3 years ago

Make up an equation of the form y = kx +b, the graph of which passes through the following points: A (8, –1) and B (–4, 17)

igor_vitrenko [27]

Answer:

One equation would be y= -1.5x +11

Step-by-step explanation:

Here's a table to show the coordinates

x: y:

8 -1

-------------------

-4 17

the x coor. 8 goes down by 12 to get to the next x coor. -4.

8-12= -4

the y coor. -1 goes up by 18 to get to the next y coor. 17.

-1+18= 17

therefore 18/-12 is -1.5 which can be your k in y=kx+b.

Check your answer.

-1.5*8= -12 but when you add 11, you get the y coor. -1

Do the same with the other x coor.

-4*-1.5= 6 + 11 =17

11 can be your b in the slope-intercept form equation.

One equation may be y = -1.5x +11

4 0

3 years ago

The x intercepts of the function f(x) = 2x(x-5)^2(x+4)^3 are…

Leokris [45]

Answer:

$\boxed{\sf x- intercepts = 0 , 5 \ and \ -4}$

Step-by-step explanation:

A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,

$\sf \implies f(x) = 2x( x - 5 ) ^2(x+4)^3$

For finding the x intercept , equate the given function with 0, we have ;

$\sf \implies 2x ( x - 5 )^2(x+4)^3= 0$

Equate each factor with 0 ,

$\sf \implies 2x = 0$

Divide both sides by 2 ,

$\sf \implies\bf x = 0$

Again ,

$\sf \implies ( x - 5)^2=0$

Taking squareroot on both sides,

$\sf \implies x - 5 = 0$

Add 5 to both sides,

$\sf \implies \bf x = 5$

Similarly ,

$\sf \implies \bf x = -4$

Hence the x Intercepts are -4 , 0 and 5 .

{ See attachment also for graph } .

3 0

3 years ago

One-half the square of b

enot [183]

A machine produces 240 bolts in 25 minutes. At the same rate how many bolts would be produced in 45 minutes

8 0

3 years ago

Read 2 more answers

Shown below is a trapezium, name a line perpendicular to AD.​

Shown below is a trapezium, name a line perpendicular to AD.