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blsea [12.9K]
3 years ago
5

Please help fast! Line segment AB was dilated to create line segment A’B’ using the dilation rule DQ0.12•

Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0

<u>Answer:</u>

The correct answer option is C. 13.6 units.

<u>Step-by-step explanation:</u>

Line segment AB was dilated to create the line segment A'B' using the dilation rule D_{Q, 0.15}.

We are to find the value of x which is the distance between the twp points A and A'.

For this, we will divide the distance of A'Q by the dilation factor and then subtract the given length.

\frac{2.4}{0.15} = 16

x = 16-2.4 = 13.6 units

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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 :

brainly.com/question/26107616

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7 0
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Please help! I will give brainliest to the first correct answer!
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Answer:

A)

Step-by-step explanation:

check that the formula in A works . . .

the 7th term should be 320

a(320) = 5(2)^7-1

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= 320

6 0
3 years ago
A square stepping stone has a side length of 10 1/4 inches.
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Area=2.5

Step-by-step explanation:

area

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The answer is 7/4 I added my work there sorry if it’s kinda messy

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Convert to quarts: 10 pints
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Answer:

B

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Pints and Quarts are measures of volume. The relationship between them is rather simple.

We know 2 pints = 1 Quart

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