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Flura [38]
2 years ago
9

Find the value of a and YZ if Y is between X and Z. XY = 7a, YZ = 5a, XZ = 6a + 24 = YZ =​

Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
5 0
  • x-y-z

\\ \sf\longmapsto XY+YZ=XZ

\\ \sf\longmapsto 7a+5a=6a+24

\\ \sf\longmapsto 12a=6a+24

\\ \sf\longmapsto 12a-6a=24

\\ \sf\longmapsto 6a=24

\\ \sf\longmapsto a=\dfrac{24}{6}

\\ \sf\longmapsto a=5

  • YZ=5a=5(5)=25
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tankabanditka [31]

The equation of the line that is parallel to the given line and passes through the point (-2,2) is:

y = \frac{x}{5} + \frac{12}{5}

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

When two lines are parallel, they have the same slope. In this problem, the given line passes through (-5,-4) and (0,-3), hence the slope is:

m = (-3 - (-4))/(0 - (-5)) = 1/5.

Hence the equation is:

y = \frac{x}{5} + b

When x = -2, y = 2, then:

y = \frac{x}{5} + b

2 = \frac{-2}{5} + b

b = \frac{12}{5}

Hence:

y = \frac{x}{5} + \frac{12}{5}

More can be learned about linear equations at brainly.com/question/24808124

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Step-by-step explanation:

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3 years ago
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Answer: Check if numbers are prime. Composite numbers prime factorization (decomposing, breaking numbers down to prime factors). Inscribe them as a product of prime factors, in exponential notation.

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3 years ago
Reduce 4/36 to simplest terms
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All you do is divide them by 4

4 divided by 4=1

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patriot [66]

Answer:

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Step-by-step explanation:

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2 years ago
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