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3 years ago

A-4/5 = 12 what is a and show the work

Mathematics

1 answer:

topjm [15]3 years ago

4 0

Solving $a-\frac{4}{5}=12$ we get $a=\frac{64}{5}$

Step-by-step explanation:

We need to find the value of a. We are given:

$a-\frac{4}{5}=12$

Solving:

$a-\frac{4}{5}=12\\Add\,\,\frac{4}{5}\,\,on\,\,both\,\,sides:\\a-\frac{4}{5}+\frac{4}{5}=12+\frac{4}{5}\\a=12+\frac{4}{5}\\Taking\,\,LCM:\\a=\frac{12*5+4}{5}\\a=\frac{60+4}{5}\\a=\frac{64}{5}$

So, Solving $a-\frac{4}{5}=12$ we get $a=\frac{64}{5}$

Keywords: Solving Expressions

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Three houses are mapped on a coordinate grid. Joshs house is located on red street at (-5,-4). Sarah’s House is located on green

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Answer: 90

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3 years ago

Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

solniwko [45]

$Rewrite the expression 6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$$

The ratio of $\frac{q}{p}$ = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form $ax^{2} + bx + c$ to the vertex form

$a(x - h)^{2} + k$ . The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: $a(x + m)^{2} + n$ , such that the left side is a perfect square trinomial

$6j^2 - 4j +12$

= $6(j^2 - \frac{2}{3} j )+12$

= $$6(j^2 - \frac{2}{3} j + \frac{1}{9} )+\frac{102}{9}$ (Completing Square method)

= $6( j- \frac{1}{3} )^{2} + \frac{34}{3}$

On comparing with the given equation we get

p = - $\frac{1}{3}$ and q = $\frac{34}{3}$

∴ $\frac{q}{p}$ = $\frac{\frac{34}{3} }{\frac{-1}{3} }$

= - 34

Learn more about completing the square method here :

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2 years ago

Help me out please no wrong awnsers (right awnsers only ) I ask for thanks:)

lyudmila [28]

Answer:

12 cards is the correct answer of this questions.

plz mark my answer as brainlist plzzzz vote me also

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3 years ago

XYZ is a dilation of triangle ABC by a scale factor of 5. Which of the following proportions verified that triangle ABC and XYZ

Dima020 [189]

Answer:

C. AB/XY = AC/XZ

Step-by-step explanation:

Dilation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The original figure either stretches or shrinks by a certain factor.

In the problem, the dilation is by a factor of 5 and we can see that ABC shrinks to form XYZ.

So, ABC and XYZ are similar triangles which means that the ratio of their corresponding sides will be equal:

AB/XY = AC/XZ = BC/YZ = 5

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3 years ago

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Allisa [31]

Answer:

209/10

Step-by-step explanation:

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3 years ago

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