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user100 [1]
3 years ago
15

Simplify. 3(2x+4y-2z)+7(x+y-4z)

Mathematics
2 answers:
maks197457 [2]3 years ago
7 0

Answer:

13x + 19y - 34z is correct.

Step-by-step explanation:

Distribute to get 6x + 12y - 6z + 7x + 7y - 28z, which combines to the answer.

can i have the braineist

Len [333]3 years ago
5 0
<span>3(2x+4y-2z)+7(x+y-4z) =
3*2x + 3*4y - 3*2z + 7x + 7y - 7*4z =
6x + 12y - 6z + 7x + 7y - 28z =
(6+7)x + (12+7)y + (-6-28)z =
13x + 19y + (-34)z =
13x + 19y -34z;
</span>
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Calculate the perimeter of the composite figure. Round your answer to the nearest hundredth. Use 3.14 for $\pi$ .
Elena-2011 [213]

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3 0
3 years ago
The line passing through the points (-7,4) and (-23,y) is parallel to a line that has a slope of -5/8. What is the value of y?
Burka [1]
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so if this line is parallel to another with a slope of -5/8, the slope of this line is also -5/8 then.  We also know that it passes through -7, 4 and -23, y, let's do some checking.

\bf \begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%   (a,b)&#10;&({{ -7}}\quad ,&{{ 4}})\quad &#10;%   (c,d)&#10;&({{ -23}}\quad ,&{{ y}})&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{y-4}{-23-(-7)}\implies \cfrac{y-4}{-23+7}&#10;\\\\\\&#10;\cfrac{y-4}{-16}=\boxed{-\cfrac{5}{8}}\implies 8y-32=80\implies 8y=112&#10;\\\\\\&#10;y=\cfrac{112}{8}\implies y=14
3 0
3 years ago
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Varvara68 [4.7K]

The key feature of the functions that are needed to determine if the lines intersect are;

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  • The y-intercept

<h2>Slope and y-intercept</h2>

From straight line geometry, we can conclude that two parallel lines whose slope are equal can never intersect.

On this note, for the functions described in the question, the functions only intersect when the slopes are different.

Additionally, the functions may intersect in the event of having equal y-intercepts.

In order two straight lines in a coordinate plane intersect, they MUST have different slopes.

This condition is  NECESSARY  and  SUFFICIENT.

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2 years ago
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3 years ago
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Answer:

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4 years ago
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