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3 years ago

Given the domain {-4, 0, 5}, what is the range for the relation 12x, + 6y = 24?

Mathematics

1 answer:

Alinara [238K]3 years ago

7 0

↣ Substitute all domains in the equation for the ranges.

$12x+6y=24$

$2x+y=4$ ↣ Divide the whole equation by 6.

↣ Substitute x = -4 in the equation.

$2(-4)+y=4\\-8+y=4\\y=4+8\\y=12$

Our range is 12 when x = -4. In the choice there is only one choice that has range value as 12. Therefore, the answer is B.

↣ If you want me to solve for all ranges then you can reply under this. Since there is only one choice that has 12 as range value, I decide not to continue. So If you want me to solve for all ranges then feel free to reply under this. ↣

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Which set of ratios could be used to determine if one triangle is a dilation of the other

Lisa [10]

Answer:

See explanation

$\frac{3.6}{3} = \frac{5.4}{4.5} = \frac{6}{5}$

Step-by-step explanation:

The two triangles are similar if the ratio of the corresponding sides are proportional.

The ratio of the corresponding sides are:

$\frac{3.6}{3} = 1.2$

$\frac{5.4}{4.5} = 1.2$

$\frac{6}{5} = 1.2$

The set of ratios which could be used to determine if one triangle is a dilation of the other is

$\frac{3.6}{3} = \frac{5.4}{4.5} = \frac{6}{5}$

If there are multiple correct options then check this one too.

$\frac{3}{3.6} = \frac{4.5}{5.4} = \frac{5}{6}$

3 0

3 years ago

What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%2A%2081" id="TexFormula1" title="\frac{2}{3} * 81" alt="\frac

Vaselesa [24]

Hello!

Answer: ⇒⇒⇒⇒⇒⇒⇒ =54

_________________________________________________________________

Step-by-step explanation:

First you had to convert element to fraction.

$\frac{2}{3}*\frac{81}{1}$

Then you had to cross out by the common factor of 3.

$\frac{2}{1}=\frac{27}{1}$

Multiply by the fraction.

$\frac{2*27}{1*1}$

Multiply by the number.

$2*27=54$

$=\frac{54}{1*1}$

Again multiply by the number.

$1*1=1$

$=\frac{54}{1}$

Apply rule.

$\frac{54}{1}=54$

54 is the right answer.

______________________________________________________________

Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

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RideAnS [48]

Answer:

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Step-by-step explanation:

The area (A) of a triangle is calculated as

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Here b = 18 and h = 11 , then

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