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3 years ago

Eliminate the parameter. x = t - 3, y = t2 + 5

Mathematics

1 answer:

Sergio [31]3 years ago

7 0

Answer:

y = x^2 +6x+14

Step-by-step explanation:

x = t - 3, y = t^2 + 5

x=t-3

Add 3 to each side

x+3 = t-3+3

x+3 =t

Substitute into the second equation

y = t^2 +5

y = (x+3)^2 +5

Foil the first term

y = (x+3) (x+3) +5

y = (x^2 +3x+3x+9) +5

y = x^2 +6x+9) +5

y = x^2 +6x+14

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Answer:

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Step-by-step explanation:

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3 years ago

Which number should each side of the equation 4/5x=8 be multiplied by to produce he equivalent equation of x=10?

gulaghasi [49]

<< Add $.\frac{-4}{5}$ to the left and right of the equation, multiple and make ''opposite multiplation'' to find x.

A) $\frac{4}{5x}. \frac{-4}{5} = 8. \frac{-4}{5} 
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$\frac{16}{25x} = \frac{-32}{5}$
25x.(-32)= (-16).5
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**to leave x alone and positive, you must divide to -800.
$x= \frac{-80}{-800}$
$x= \frac{1}{10}$
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B) $\frac{4}{5x} . \frac{1}{5} = 8. \frac{1}{5} 
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$\frac{4}{25x} = \frac{8}{5}$
$25x.8= 4.5$
$200x=20
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$x= \frac{20}{200} = \frac{1}{10}$

C) $\frac{4}{5x} . \frac{5}{4}= \frac{8.5}{4}$
$\frac{1}{x} = \frac{40}{4}$
$\frac{1}{x} =10$
10x=1
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D) $\frac{4.5}{5x} = 8.5$
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x= $\frac{4}{40}$ = 1/10

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4 years ago

Christia is saving for a new tablet. It costs $90. She has already saved $23. How much more does she need to save?

Vilka [71]

Answer:

Step-by-step explanation:

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4 years ago

El taller de baile tiene tres veces la cantidad de inscritos que el taller de arte el taller de arte tiene 98 escritos menos que

Eduardwww [97]

Answer:

The number of registrants in art workshop is 49.

Step-by-step explanation:

The dance workshop has three times the number of registrants than the art workshop the art workshop has 98 less writings than the dance workshop how many registrations the art workshop has

Let the registrants in the art workshop is p.

The registrants in the dance work shop is 3 p.

According to question,

p = 3p - 98

2 p = 98

p = 49

So, the number of registrants in art workshop is 49.

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3 years ago

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Klio2033 [76]

Answer:

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Step-by-step explanation:

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3 years ago

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