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JulijaS [17]
3 years ago
12

what do I do on C it says assess the reasonableness of your answer in B and use your estimate from A to explain

Mathematics
1 answer:
poizon [28]3 years ago
5 0
I think that the answer is B<span />
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Solve for y in the following equation.
Tju [1.3M]

Answer:

y = \frac{z^2 - x}{2}

Step-by-step explanation:

Given:

\sqrt{x + 2y} = z

Required:

Solve for y (make y the subject of the formula)

SOLUTION:

\sqrt{x + 2y} = z

Square both sides

(\sqrt{x + 2y})^2 = z^2

x + 2y = z^2

Subtract both sides by x

2y = z^2 - x

Divide both sides by 2

y = \frac{z^2 - x}{2}

5 0
3 years ago
What are the solutions to the equation |x – 10| – 4 = 2x?
Yuliya22 [10]

|x – 10| – 4 = 2x

x - 10 - 4 = 2x

x - 14 = 2x

x - 2x = 14

-x = 14

x = -14

7 0
3 years ago
A square has side length of 9 in. If the area is doubled, what happens to the side length?
Alika [10]

Answer:

The side length is multiplied by \sqrt{2}

Step-by-step explanation:

we know that

The area of the original square is equal to

A=9^{2}=81\ in^{2}

If the area is doubled

then

The area of the larger square is

A1=(2)81=162\ in^{2}

Remember that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the larger square

y ---> the area of the original square

so

z^{2}=\frac{x}{y}

we have

x=162\ in\^{2}

y=81\ in\^{2}

z^{2}=\frac{162}{81}

z^{2}=2

z=\sqrt{2} ------> scale factor

therefore

The side length is multiplied by \sqrt{2}

7 0
3 years ago
F(x) = 1/2 x - 5 What is f(6)?
Elodia [21]

Answer:

-2

Step-by-step explanation:

3 0
3 years ago
Add 0.0025 kg, 1750 mg, 2.25 g, and 825,000 μg, and express the answer in grams.
kozerog [31]

Answer:

6.75g

Step-by-step explanation:

The first step is converting everything to grams, by rules of three. Then we add.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: 0.0025kg to g

Each kg has 1000g, so:

1kg - 1000g

0.0025kg - xg

x = 1000*0.0025 = 2.5g

0.0025kg = 2.5g

Second step:  1750 mg

Each g has 1000mg, so:

1g - 1000mg

xg - 1750mg

1000x = 1750

x = \frac{1750}{1000}

x = 1.75g

1750 mg = 1.75g

2.25g - OK

Third step: 825,000 μg to g

Each g has 1,000,000 ug, so:

1g - 1,000,000 ug

xg - 825,000 ug

1,000,000x = 825,000

x = \frac{825,000}{1,000,000}

x = 0.25g

825,000 μg = 0.25g

Final step: adding everyting

0.25g + 2.25g + 1.75g + 2.50g = 6.75g

5 0
3 years ago
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