MATHEMATICS HIGH SCHOOL

What is the answer to 2/3x=-8?

Answers

Answer 1

Answer:

Answer:x= -12

Step-by-step explanation:

Answer 2

Answer:

Answer:12

Step-by-step explanation:

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Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millimeters. What is the actual height of the train in meters? Round your answer to the thousandths (third) decimal place. Do not include units (meters) in your answer.

Answers

102 x 48 = 4284mm = 4.284m

HEY PLEASE HELP I AM DESPERATE I WILL GIVE YOU BRAINLIEST

Answers

y>/-4x+20

This is the answer :D

After t seconds, a ball tossed in the air from the ground level reaches a height of h feet given by the equation h = 144t-16t^2What is the height of the ball after 3 seconds?

What is the maximum height the ball will reach?

Find the number of seconds the ball is in the air when it reaches a height of 224 feet.

After how many seconds will the ball hit the ground before rebound?

Answers

144t-16t^2= 16t(9-t)
after 3 seconds (just substitute t=3):
16(3)(9-3)=
16(3)(6)=
16*18=
288
maximum height: find the average of the roots:
the roots of 16t(9-t) are t=0 or t=9
since it's a parabola, the maximum is at t=4.5, at 324 ft
if its height is 224 feet, the equation is 224=144t-16t^2
16t^2-144t+224=0
divide by 16: t^2-9t+14=0
this can be factored as (t-2)(t-7)=0
the roots are t=2 and t=7, so the ball has been in the air for either 2 seconds or 7 seconds
the roots to 144t-16t^2 are 0 and 9, so the ball will hit the ground 9 seconds after being thrown

h = -16t^2 + 144t
when you substitute a number in for t, it will tell you how high in the air the ball is after that many seconds. to find the height at three seconds, put in 3 for t.
h = -16*9 + 144*3
h = -144 + 3*144
h = 2*144 (i didn't want to multiply out 3*144 cause im lazy, so i combined like terms as if 144 was a variable.)
h = 288
after 3 seconds, the ball is 288ft in the air.

the maximum height is more complicated (and feel free to skip this paragraph if you think it'll confuse you more.) you could do it with a graphing calculator by graphing the function f(x)=-16x^2+144t and using a maximum feature. you could also use differential calculus to find it. but i think the best way is the way suggested by the person who answered before me, that is, finding the average of the roots. since the parabola's line of symmetry is perpendicular to the x-axis, that means the places the parabola intersects the x-axis (the roots) will be the same distance from the axis of symmetry and therefore the same distance from the vertex (the maximum point of the parabola.)

the roots of the parabola can be found this way:
h = -16t^2 + 144t
0 = -16t^2 + 144t
0 = t(-16t + 144)
0 = t or 0 = -16t + 144
16t = 144
t = 9
the roots are t=0 and t=9, therefore the line of symmetry (the middle of the parabola) is t=4.5. to find the maximum point of the parabola, plug 4.5 into the function for t and find the resulting height.
h = -16(4.5)^2 + 144(4.5)
h = -324 + 648
h = 324
so the maximum height happens at t=4.5 seconds, and the maximum height is 324ft.

to find how long it takes for the ball to be at 224 feet in the air, substitute 224 in for h:
h = -16t^2 + 144t
224 = -16t^2 + 144t
56 = -4t^2 + 36t divide by 4
14 = -t^2 + 9t divide by 4 again
t^2 - 9t + 14 = 0 rearrange
(t - 7)(t - 2) = 0
t = 7 and t = 2
at 2 seconds and again at 7 seconds, the ball will be 224ft in the air.

after how many seconds will the ball hit the ground? we already know this. the ball touches the ground just like the parabola touches the x-axis. to find when the ball hits the ground, we just have to find the root of the parabola, and we already know from earlier that the roots are t=0 and t=9. so, the ball will come into contact with the ground at 9 seconds.

hope this helped

3 in
9 in
13 in
Surface Area =

Help also explain please

Answers

To find surface area we can do 2(l)(w) + 2(l)(h) + 2(h)(w). l = length; w = width; h = height.

Next

Plug in 3 for length, 9 for height, and 13 for width. ( or however you’d like for width length height but only one number can be represented by h, l, and w.)

Then we add all the numbers
2(3)(13)+ 2(3)(9) + 2(9)(13) = SA (surface area)

78 + 54 + 234 = 366 in^2 or 366 sq. inches

Final answer:

The given dimensions are of a rectangular prism, and the surface area can be calculated using the formula 2lw + 2lh + 2wh, which gives 366 square inches for a prism with dimensions 13 inches, 9 inches, and 3 inches.

Explanation:

The numbers given, 3 inches, 9 inches, and 13 inches, are usually the dimensions of a rectangular prism, which is a type of box shape. The Surface Area of a rectangular prism is given by the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Based on the numbers given, we can see that :

The length l=13 inches
The width w=9 inches
The height h=3 inches.

So, substitute these values into the formula:

Surface area = 2lw + 2lh + 2wh = 2(13x9) + 2(13x3) + 2(9x3) = 234 + 78 + 54 = 366 square inches.

This means the surface area of the box is 366 square inches. The surface area of a shape is a measure of the total area that the surface of the shape covers.

Learn more about Surface Area of Rectangular Prism here:

brainly.com/question/31454778

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What is 1/2 plus 9/10

Answers

Find the common denominator first--> 10
1/2= ?/10 ?=5
so 5/10 +9/10 (Now you just add the numerators and keep the common denominator the same)

14/10 and if you want to simplify it, simply divide both the top and bottom by 2

answer = 7/5

1.4. 1/2=.5 9/10=.9 add them together and u get 1.4

Solve photo question, please. :)

Answers

coincident because it's two lines that have the same equation if you cancel them down. (coincident means that there are two lines that lie directly on top of eachother)

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