V=EX

The dimensions of a box that is a rectangular prism are 3 inches, 4 inches, and 6 inches. What is the length of the diagonal fro

Neporo4naja [7]

Answer:

7.8 in

Step-by-step explanation:

Given:-

- The dimension of rectangular prism:

(3 x 4 x 6) inches

Find:-

What is the length of the diagonal from the point R to point S, to the nearest tenth of an inch?

Solution:-

- We will set up an origin with coordinates ( 0 , 0 , 0 ) at point R. Then the coordinates of point S would be ( 3 , 4 , 6 ).

- Then we will use the distance between two points formula in cartesian coordinate system:

Distance = $\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}$

Where the coordinates of two points ( x1 , y1 , z1 ) & ( x2 , y2 , z2 ).

- Using R( 0 , 0 , 0 ) & S( 3 , 4 , 6 ), the distance |RS| would be:

$|RS| = \sqrt{(0 - 3)^2 + (0 - 4)^2 + (0 - 6)^2}\\\\|RS| = \sqrt{ 9 + 16 + 36}\\\\|RS| = \sqrt{61} = 7.81024$

- The distance |RS| to nearest 10th of an inch is = 7.8 in

4 0

3 years ago

What is the equation of the axis of symmetry for this function? H(x) = -X2 + 10x - 11 x = -5 0 x= -10 x = 5 x = 10

siniylev [52]

Given:

The equation of a quadratic function is:

$H(x)=-x^2+10x-11$

To find:

The equation of the axis of symmetry for the given function.

Solution:

If a quadratic function is $f(x)=ax^2+bx+c$ , then the equation of the axis of symmetry is:

$x=-\dfrac{b}{2a}$ ...(i)

We have,

$H(x)=-x^2+10x-11$

Here, $a=-1,b=10,c=-11$ . So, the equation of axis of symmetry by using (i), is

$x=-\dfrac{10}{2(-1)}$

$x=-\dfrac{10}{-2}$

$x=5$

Therefore, the correct option is C.

8 0

3 years ago

Given the following function ,find h(-4) <br><br>h(x)=6x^2+5

Wittaler [7]

Answer:

h(-4) =101

Step-by-step explanation:

H(x) = 6x ^2 +5

We have to find when h=4, putting it into function

h(-4) = 6(-4) ^2 +5

h(-4) = 6(16) +5

h(-4) = 96 +5

h(-4) =101

3 0

3 years ago

This table shows the number of bottled soft drinks sold in a corner store each day during the past week.

olga_2 [115]

Answer:

A

Step-by-step explanation:

Well automatically we can eliminate B and D because they make no sense whatsoever. So that leaves us with A and C. A is telling us to find the mean so it has to be that one. So, with procces of elimination the answer has to be A. I know this because the owner needs to find an average to see how many bottles he will have sold daily. ;) Your very much welcome

6 0

2 years ago

Proportions - if 1 subscription costs $21, how much is 28 subscriptions?

Len [333]

1 subscription = $21
28 subscriptions = x
You know 1 subscription is $21
You want to find out how much 28 subscriptions are
Multiply 28 (subscriptions) by 21 ($ per subscription)
28 x 21 = 588
28 subscriptions cost $588
If you would like the formula to find out how many subscriptions cost hat amount of money,
21x = y
x is how many subscriptions you want, while y is the total cost of the money

6 0

4 years ago