S=ut +1/2at<br> u=10 a= -2 t=1/2<br> what is the value of s

irga5000 [103]

30° the angle is ro small to be 90° to small to be 60° and to small to be 120°

6 0

4 years ago

The rectangle below has an area of 6n^4+20n^3+14n^26n 4 +20n 3 +14n 2 6, n, start superscript, 4, end superscript, plus, 20, n,

Sindrei [870]

Given:

Area of rectangle = $6n^4+20n^3+14n^2$

Width of the rectangle is equal to the greatest common monomial factor of $6n^4, 20n^3,14n^2$ .

To find:

Length and width of the rectangle.

Solution:

Width of the rectangle is equal to the greatest common monomial factor of $6n^4, 20n^3,14n^2$ is

$6n^4=2\times 3\times n\times n\times n\times n$

$20n^3=2\times 2\times 5\times n\times n\times n$

$14n^2=2\times 7\times n\times n$

Now,

$GCF(6n^4, 20n^3,14n^2)=2\times n\times n=2n^2$

So, width of the rectangle is $2n^2$ .

Area of rectangle is

$Area=6n^4+20n^3+14n^2$

Taking out GCF, we get

$Area=2n^2(3n^2+10n+7)$

We know that, area of a rectangle is the product of its length and width.

Since, width of the rectangle is $2n^2$ , therefore length of the rectangle is $(3n^2+10n+7)$ .

5 0

3 years ago

A water ballon is launched straight up. The balloons flight is modeled by the function h(t)=16t^2+192t

lubasha [3.4K]

Answer:Step by Step Solution

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Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

h*(t)-(16*t^2+192*t)=0

STEP

1

:

Equation at the end of step 1

ht - (24t2 + 192t) = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

ht - 16t2 - 192t = t • (h - 16t - 192)

Equation at the end of step

3

:

t • (h - 16t - 192) = 0

STEP

4

:

Theory - Roots of a product

4.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

4.2 Solve : t = 0

Solution is t = 0

Equation of a Straight Line

4.3 Solve h-16t-192 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line h-16t-192 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when h = 0 the value of t is 12/-1 so this line "cuts" the t axis at t=-12.00000

t-intercept = 192/-16 = 12/-1 = -12.00000

Calculate the X-Intercept :

When t = 0 the value of h is 192/1 Our line therefore "cuts" the h axis at h=192.00000

h-intercept = 192/1 = 192.00000

Calculate the Slope :

Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -12.000 and for h=2.000, the value of t is -11.875. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -11.875 - (-12.000) = 0.125 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 0.125/2.000 = 0.062

Geometric figure: Straight Line

Slope = 0.125/2.000 = 0.062

h-intercept = 192/1 = 192.00000

t-intercept = 192/-16 = 12/-1 = -12.00000

t = 0

Step-by-step explanation:

7 0

2 years ago

Can i please have so help

Blizzard [7]

I believe it should be 1.0 mol

3 0

2 years ago

A boy sent a telegram which contains 36 words to his mother if the first 12 words cost $20 and each additional word cost 2$ per

aliina [53]

Answer:

(d) 60 kobo

Step-by-step explanation:

36 divided by 12 = 3

3 x 20 = 60

Hope this helps!

4 0

3 years ago

S=ut +1/2at u=10 a= -2 t=1/2 what is the value of s