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BabaBlast [244]
2 years ago
15

Rewrite the parametric equations in Cartesian form: x(t)=4+t, y(t)=2sqrt(t). y=?

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
6 0

Answer:

Both of these curves are equal to each other.

Step-by-step explanation:

We have

x(t) = 4 + t

and

y(t) = 2 \sqrt{t}

Solve for t in the x function

x = 4 + t

Subsitue this in for t.

y = 2 \sqrt{x - 4}

We get

a square root function shifted to right 4 units and stretched vertically by a factor of 2.

We can also prove this by graphing.

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Step-by-step explanation:

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Please help me out............................
Alina [70]

Answer:

<h2>b = 15°</h2>

Step-by-step explanation:

If Pq = RQ then ΔPQR is the isosceles triangle. The angles QPR and PRQ have the same measures.

We know: The sum of the measures of the angeles in the triangle is equal 180°. Therefore we have the equation:

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We have

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Therefore

2(m∠QPR) + 60° = 180°       <em>subtract 60° from both sides</em>

2(m∠QPR) = 120°           <em>divide both sides by 2</em>

m∠QPR = 60° and m∠PRQ = 60°

Therefore ΔPRQ is equaliteral.

ΔPSR is isosceles. Therefore ∠SPR and ∠PRS are congruent. Therefore

m∠SPR = m∠PRS

In ΔAPS we have:

m∠SPR + m∠PRS + m∠RSP = 180°

2(m∠SPR) + 90° = 180°            <em>subtract 90° from both sides</em>

2(m∠SPR) = 90°             <em>divide both sides by 2</em>

m∠SPR = 45° and m∠PRS = 45°

m∠PRQ = m∠PRS + b

Susbtitute:

60° = 45° + b           <em>subtract 45° from both sides</em>

15° = b

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Answer:

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