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rjkz [21]
3 years ago
7

What is the solution for this system of equations: y = 1/2 x + 1 x + y = 16

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

Answer:

  • x = 10, y = 6

Step-by-step explanation:

<h3>Given</h3>
  • y = 1/2 x + 1
  • x + y = 16

<u>Substituting y in the second equation:</u>

  • x + 1/2x + 1 = 16
  • 1.5x = 15
  • x = 15/1.5 = 10

Then

  • y = 1/2*10 + 1 = 5 + 1 = 6
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Cloud [144]

Answer:

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Step-by-step explanation:

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2 years ago
How do you write the equation of this description: the graph of a parabola has a vertex of (2,3) and vertically stretched by 3
Mademuasel [1]

The equation of parabola is  y = 3x²- 12x+ 15.

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

The equation of the parabola is given as y = x².

If it has a vertex then the equation can be written as,

y = a(x-h)² + k

where (h, k ) is the vertex and a is the stretching or compressing factor.

So here the vertex is (2,3) and it is vertically stretched by 3.

So the equation is given as,

y = 3(x-2)² + 3

y = 3(x² -4x+4) + 3

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3 0
3 years ago
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!
Rasek [7]

Answer:

see below

Step-by-step explanation:

1. 0 = (r + 1)(r + 8)

Using Zero Product Property, r = -1, r = -8

2. h(r) = (r + 1)(r + 8)

         = r² + 9r + 8

         = (r + 9/2)² - 81/4 + 8

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3 years ago
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The label could be written in the area marked X as "Uses a convex eyepiece lens". Then the correct option is D.

<h3>What are Sets?</h3>

Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as curly bracket {..}.

<h3>What is the Venn diagram?</h3>

It is the representation of the sets by the diagram. And shows the condition that is generated between them by the overlapping of the circle.

Shanti began to draw a Venn diagram comparing refracting and reflecting telescopes. The two overlapping circles.

The left circle is labeled Refracting telescopes.

The right circle is labeled Reflecting Telescopes.

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From the figure, we can say that the label could be written in the area marked X as "Uses a convex eyepiece lens".

Then the correct option is D.

More about the set link is given below.

brainly.com/question/8053622

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2 years ago
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