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2 years ago

What is –9. 2(8x – 4) 0. 7(2 6. 3x) simplified? –69. 19x – 32. 39 –69. 19x 38. 2 –72. 2x 41. 21 75x – 338. 2.

Mathematics

1 answer:

trasher [3.6K]2 years ago

3 0

The simplified form of the equation is $\rm -69.19x+38.2$ .

<h2>Given that</h2>

Equation; $\rm -9.2(8x - 4) + 0.7(2 + 6.3x)$

<h3>We have to determine</h3>

The simplified form of the equation;

<h3>According to the question</h3>

To determine the simplified form of the equation following all the steps given below.

Equation; $\rm -9.2(8x - 4) + 0.7(2 + 6.3x)$

<h3>To simplify the equation multiple the terms and solve.</h3>

Then,

The simplified form of the equation is,

$\rm =-9.2(8x - 4) + 0.7(2 + 6.3x)\\
\\
= (-9.2) (8x)- (-9.2)(4) + (0.7)(2) + (0.7) (6.3x)\\
\\
=-73.6x -(-36.8) +(1.4)+(4.41x)\\
\\
= -73.6x+36.8+1.4+4.41x\\
\\
=-69.19x+38.2$

Hence, The simplified form of the equation is $\rm -69.19x+38.2$ .

To know more about Equation click the link given below.

brainly.com/question/26252222

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What is 10/15 = N/96

Snezhnost [94]

Answer:

n = 64

Step-by-step explanation:

We can solve using cross products

10/15 = n/96

10*96 = 15*n

960 = 15n

Divide each side by 15

960/15 =15n/15

64 = n

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3 years ago

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Sloan [31]

Triangle ABC is similar to triangle DEC, ∠B ≅ ∠E and 3DE = 2BC

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, reflection, translation and dilation.</em>

Dilation is the increase or decrease in the size of a figure by a scale factor.

Right triangle ABC is reflected over AC, then dilated by a scale factor of 2/3 to form triangle DEC, hence:

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2 years ago

If r and s are positive integers, is \small \frac{r}{s} an integer? (1) Every factor of s is also a factor of r. (2) Every prime

Yuri [45]

Answer:

<em>If statement(1) holds true, it is correct that </em> $\small \frac{r}{s}$ <em> is an integer.</em>

<em>If statement(2) holds true, it is not necessarily correct that </em> $\small \frac{r}{s}$ <em> is an integer.</em>

Step-by-step explanation:

Given two positive integers $r$ and $s$ .

To check whether $\small \frac{r}{s}$ is an integer:

Condition (1):

Every factor of $s$ is also a factor of $r$ .

$r \geq s$

Let us consider an example:

$s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2$

$\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10$

which is an integer.

Actually, in this situation $s$ is a factor of $r$ .

Condition 2:

Every prime factor of <em>s</em> is also a prime factor of <em>r</em>.

(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)

Let

$r = 2^2\cdot 5\\s =2^4\cdot 5$

$\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}$

which is not an integer.

So, the answer is:

<em>If statement(1) holds true, it is correct that </em> $\small \frac{r}{s}$ <em> is an integer.</em>

<em>If statement(2) holds true, it is not necessarily correct that </em> $\small \frac{r}{s}$ <em> is an integer.</em>

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3 years ago

Is the line through points P(0, 1) and Q(5, 0) parallel to the line through points R(–4, 3) and S(–5, 4)? Explain.

ale4655 [162]

Answer:

Step-by-step explanation:

Let's find the slope of both lines and then compare these slopes:

From (-4,3) to (-5,4) entails a decrease of -1 in x and an increase of 1 in y. Thus, the slope is m = rise / run = 1/(-1) = -1.

From (0,1) to (5,0) entails an increase of 5 in x and a decrease of 1 in y. The slope here is m = rise / run = -1/5.

For these lines to be parallel, their slopes must be the same. That is not the case here, so NO, the lines are not parallel.

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3 years ago

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Answer:

Step-by-step explanation:

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