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4 years ago

The model is made out of a stack of plywood sheets. each sheet is 0.6 inch thick. how many sheets of plywood tall is the model

1 answer:

8 0

The number of sheets stacked to make
the total height of the model is

(the total height of the model, in inches) / (0.6) .

We see this same problem every few months here on Brainly.
Nobody ever tells us how many inches tall the model is.

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A student solves the following equation for all possible values of x:

bekas [8.4K]

The correct answer is: 
C) his solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

Explanation: 
To solve this rational equation, we cross multiply: 
8*(x-4)=2*(x+2).

Using the distributive property, we have 
8*x-8*4=2*x+2*2;
8x-32=2x+4.

Subtract 2x from each side: 
8x-32-2x=2x+4-2x;
6x-32=4.

Add 32 to each side: 
6x-32+32=4+32;
6x=36.

Divide both sides by 6:
 $\frac{6x}{6}$ = $\frac{36}{6}$ ;
x=6.

Extraneous solutions are solutions that come about in the problem but are not valid solutions to the problem; the only values of x that would give this sort of answer are -2 and 4, since these are the two values that would make one of the denominators 0 (we cannot divide by 0).

6 0

3 years ago

Read 2 more answers

Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *

Luda [366]

Answer:

The answer to your question is $\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

Step-by-step explanation:

Data

Foci (-2, 2) (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

2c = 6

c = 6/2

c = 3

3.- Determine a

2a = 10

a = 10/2

a = 5

4.- Determine b using the Pythagorean theorem

a² = b² + c²

-Solve for b

b² = a² - c²

b² = 5² - 3²

b² = 25 - 9

b² = 16

b = 4

5.- Find the center (1, 2) From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

$\frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1$

$\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

3 0

3 years ago

Find the midpoint of the segment with the following endpoints. (8,4) and (2,7)

Fudgin [204]

Answer:

Step-by-step explanation:

Use the midpoint formula: $\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}$

So, the Change In X is 2-8 = -6

And the Change in Y is 7-4 = 3

Once you divide both of the changes by 2, you get

X: -3

Y: $\frac{3}{2}$

So the midpoint is: $(-3,\frac{3}{2})$

4 0

3 years ago

What is the equation in standards form of the line y=1/9x+5

oksano4ka [1.4K]

X - 9y = -45 i’m not sure what line ? but this is in standard form

8 0

3 years ago

Jamie is x years old. His friend Ana is the same age. Enter and expression in the box to represent the sum of Jamie and Ana ages

Lubov Fominskaja [6]

If Jamie's age is represented as x and given that Ana is the same age as Jamie then, Ana's age can also be represented by x. The sum of their ages is equal to,

Sum of their ages = x + x

Simplifying,

Sum of their ages = 2x

4 0

3 years ago

Read 2 more answers