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3 years ago

Convert the following into standard form y = -x + 1/3

Mathematics

1 answer:

Doss [256]3 years ago

5 0

y = -x + 1/3
+ x + x
--------------------------
x + y = 1/3

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The triangular prism has a volume of 27 cubic units. A triangular prism. What will be the volume of the prism if each side is di

oksian1 [2.3K]

Answer:

Option (2)

Step-by-step explanation:

Volume of a prism A (preimage) = 27 cubic units

Factor of dilation of the sides of this prism (image) = $\frac{1}{3}$

Volume scale factor of these prisms = $\frac{\text{Volume of image}}{\text{Volume of preimage}}$

Since, Volume scale factor = (Scale factor of dilation of the sides)³

= $(\frac{1}{3})^3$

= $\frac{1}{9}$

Now from the formula of volume scale factor,

$\frac{1}{9}=\frac{\text{Volume of image}}{\text{Volume of preimage}}$

$\frac{1}{9}=\frac{\text{Volume of image}}{27}$

Volume of the image prism = $\frac{27}{9}$ = 3 cubic units

Therefore, Option (2) will be the answer.

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4 years ago

Approximately 4.7× 10^7 disposable diapers are thrown away each day in the United states.how many are thrown away each year?

Aleonysh [2.5K]

ANSWER:

17,155,000,000

STEP BY STEP:

4.7x10^7

4.7x10,000,000

47,000,000

47,000,000x365

17,155,000,000

5 0

3 years ago

The symbols <, >, ≤, ≥ are called

AlekseyPX

Given:

The symbols $,\leq ,\geq$ .

To find:

The correct name for the given group of symbols.

Solution:

We know that,

Equality symbols is $"="$ .

Inequalities symbols are $",\leq ,\geq"$ .

Operational signs are $+,-,\times , \div$ .

Radical signs is $\sqrt{}$ .

It means, the symbols $,\leq ,\geq$ are called inequalities symbols.

Therefore, the correct option is B.

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3 years ago

P/3=12

guajiro [1.7K]

I think it would be b as 12x3=36 and then 36/3=12 I might be wrong tho

7 0

4 years ago

Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.

xxTIMURxx [149]

The area of the triangle is (1/2)(DE)^2*tan(60°) = (1/2)*2*√3 = √3.

Selection C is appropriate.

6 0

4 years ago