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3 years ago

A rectangle is 1/2 feet long and 3/4 feet wide. What is the area of the rectangle?

Mathematics

2 answers:

Ksju [112]3 years ago

6 0

Answer:3/8

Step-by-step explanation:

drek231 [11]3 years ago

4 0

3/8 because to find the area you multiply both numbers so 1*3 is 3 and 2*4 is 8 so your answer should be 3/8

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SOLVE THE QUESTION BELOW ASAP

qwelly [4]

Answer:

Part A) The graph in the attached figure (see the explanation)

Part B) 16 feet

Part C) see the explanation

Step-by-step explanation:

Part A) Graph the function

Let

h(t) ----> the height in feet of the ball above the ground

t -----> the time in seconds

we have

$h(t)=-16t^{2}+98$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex is a maximum

To graph the parabola, find the vertex, the intercepts, and the axis of symmetry

<em>Find the vertex</em>

The function is written in vertex form

The vertex is the point (0,98)

Find the y-intercept

The y-intercept is the value of the function when the value of t is equal to zero

For t=0

$h(t)=-16(0)^{2}+98$

$h(0)=98$

The y-intercept is the point (0,98)

Find the t-intercepts

The t-intercepts are the values of t when the value of the function is equal to zero

For h(t)=0

$-16t^{2}+98=0$

$t^{2}=\frac{98}{16}$

square root both sides

$t=\pm\frac{\sqrt{98}}{4}$

$t=\pm7\frac{\sqrt{2}}{4}$

therefore

The t-intercepts are

$(-7\frac{\sqrt{2}}{4},0), (7\frac{\sqrt{2}}{4},0)$

$(-2.475,0), (2.475,0)$

Find the axis of symmetry

The equation of the axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex

$x=0$ ----> the y-axis

To graph the parabola, plot the given points and connect them

we have

The vertex is the point $(0,98)$

The y-intercept is the point $(0,98)$

The t-intercepts are $(-2.475,0), (2.475,0)$

The axis of symmetry is the y-axis

The graph in the attached figure

Part B) How far is the artifact fallen from the time t=0 to time t=1

we know that

For t=0

$h(t)=-16(0)^{2}+98$

$h(0)=98\ ft$

For t=1

$h(t)=-16(1)^{2}+98$

$h(1)=82\ ft$

Find the difference

$98\ ft-82\ ft=16\ ft$

Part C) Does the artifact fall the same distance from time t=1 to time t=2 as it does from the time t=0 to time t=1?

we know that

For t=1

$h(t)=-16(1)^{2}+98$

$h(1)=82\ ft$

For t=2

$h(t)=-16(2)^{2}+98$

$h(2)=34\ ft$

Find the difference

$82\ ft-34\ ft=48\ ft$

The artifact fall 48 feet from time t=1 to time t=2 and fall 16 feet from time t=0 to time t=1

therefore

The distance traveled from t=1 to t=2 is greater than the distance traveled from t=0 to t=1

8 0

3 years ago

Convert 3.2 repenting decimal into a fraction

Olenka [21]

$x =3.\bar{2}\\10x = 32.\bar{2}\\\\ 10x - x = 32.\bar{2} - 3.\bar{2}\\9x = 29\\x = \frac{29}{9}\\\\\\ \boxed{\bf{\frac{32}{9} = 3.\bar{2}}}$

7 0

3 years ago

Graph the function<br> Need help ASAP plz

sattari [20]

Given:

The equation of a function is

$y=(x-4)^2+1$

To find:

The graph of the given function.

Solution:

The vertex form of a parabola is

$y=(x-h)^2+k$ ...(i)

Where, (h,k) is vertex of the parabola.

We have,

$y=(x-4)^2+1$ ...(ii)

From (i) and (ii), we get

$h=4, k=1$

The vertex of the parabola is (4,1).

Now, the table of values is

x y

2 5

3 2

4 1

5 2

6 5

Plot these points on a coordinate plane and connect them by a free hand curve.

The graph of given function is shown below.

5 0

3 years ago

What is the slope of Y=-2/3 X + 2

Studentka2010 [4]

Answer:

-2/3

Step-by-step explanation:

in y=mx+b, m= the slope

and if you were graphing, you would put 2 on the y axis and use the rise over run strategy for the slope

hope this helped:)

6 0

3 years ago

Question 6 (1 point)

charle [14.2K]

well, the table has 5 points in it, let's pick any two hmmm say let's use hmmm (2 , 7) and (6 , 17)

$(\stackrel{x_1}{2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{17}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{17}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{10}{4}\implies \cfrac{5}{2}$

when x = 0, from the table, y = 2, so there's the y-intercept.

7 0

2 years ago