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elena-s [515]
3 years ago
9

Solve each of the following pairs of simultaneous equations by using substitution X+5y=8

Mathematics
1 answer:
White raven [17]3 years ago
8 0
<span>x+5y=8  ----------------- (1)

</span>y=3x      ----------------- (2)

Substitute (2) into (1):

x + 5(3x) = 8

Distribute 5:
x + 15x = 8

Combine like terms:
16x = 8

Divide both sides by 16:
x = 0.5 

Substitute x = 0.5 into (2):

y = 3(0.5) 

Distribute 3
y = 1.5

Answer: x = 0.5, y = 1.5
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Which is the equation of a line that is parallel to the line represented by y= 7/6 x + 4 ?
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In order for two lines to be parallel, they must have the dame slope. In this case, it is 7/6. So the new line Will have the next form:

y = 7/6x + b

Now, assuming that the new line passes through the point (1,1):

1 = 7/6*1 + b

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Replacing b:

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3 years ago
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Ymorist [56]

The <em>rigid</em> transformations used for each figure:

  1. Figure 5 - Reflection around x and y axes: (x, y) → (- x, - y)
  2. Figure 6 - Horizontal and vertical translations: (x, y) → (x + 1, y - 2)

<h3>What transformation rules do create the resulting images?</h3>

In this question we must determine what kind of <em>rigid</em> transformations generates each image. <em>Rigid</em> transformations are transformations applied on geometric loci such that <em>Euclidean</em> distance is conserved. Now we proceed to determine the transformation rule for each case:

Figure 5 - Reflection around the x-axis followed by reflection around the y-axis.

(x, y) → (- x, - y)

Figure 6 - Translation one unit in the +x direction and two units in the -y direction.

(x, y) → (x + 1, y - 2)

To learn more on transformation rules: brainly.com/question/9201867

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8 0
2 years ago
Please help me! I need this asap (I was supposed to do it yesterday :/ )<br> Its in the picture UwU
FromTheMoon [43]

Answer:

Hewo!

Step-by-step explanation:

im not sure of the answer but i got the trick!

so for the length add 8 to the width and for the area multiply the width by 14

This should get you the correct answers :)

Hope i helped! :D

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These equations take their y-values from the set (4, 5, 6, 7, 8). Arrange the equations in decreasing order of the values of y t
Advocard [28]

9514 1404 393

Answer:

  a, c, b

Step-by-step explanation:

Collect terms, subtract the constant, divide by the y-coefficient.

(a) 4y + (y - 1) = 29   ⇒   y = 6

(c) (2y + 3) - 4 = 9​   ⇒   y = 5

(b) 4y - y + 1 = 13   ⇒   y = 4 . . . . . this equation is not what you have written

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<em>Additional comment</em>

The second equation suffers from a typo, so your answer may vary.

3 0
2 years ago
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Answer:

$73.25

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