All categories

3 years ago

Write the following parametric equations as a rectangular equation by

Mathematics

1 answer:

nataly862011 [7]3 years ago

5 0

Answer:

3x + y = 12

Step-by-step explanation:

x = 6 - t

y = 3t - 4

We have to convert these equations in rectangular form which means that we have to express them in terms of x and y only. For this we have to eliminate "t".

From first equation we get the value of t as:

x + t = 6

t = 6 - x

Using this value in second equation, we get:

y = 3(6 - x) - 4

y = 18 - 3x - 12

3x + y = 6

This is the equation in rectangular form.

You might be interested in

A rectangle is 12 cm long and 9 cm wide. Its diagonal is labeled 2x - 11. What is the value of x?

shusha [124]

Answer: The value of x is 13 cm.

Explanation:

It is given that the length and width of the rectangle are 12 cm and 9 cm.

Use pythagoras to find the value of the diagonal.

$Hypotenuse=\sqrt{(base)^2+(perpendicular)^2}$

$D=\sqrt{(12)^2+(9)^2}$

$D=\sqrt{144+81}$

$D=\sqrt{225}$

$D=15$

It is given that the diagonal is labeled as 2x-11.

$2x-11=15$

$2x=15+11$

$2x=26$

Divide both side by 2.

$x=13$

Therefore, x = 13cm.

3 0

3 years ago

Read 2 more answers

Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?

sergiy2304 [10]

<h2>Hello!</h2>

The answer is:

$x1=0.53\\x2=-0.17$

The quadratic formula is:

$x=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}$

We have that:

$a=11\\b=-4\\c=-1$

By substituting we have:

$x=\frac{4+-\sqrt{-4^{2}-4*11*-1 } }{2*11}=\frac{4+-\sqrt{16+44} }{22}=\frac{4+-\sqrt{60} }{22}=\frac{4+-(7.75)}{22}$

$x1=\frac{4+7.75}{22}=0.53\\\\x2=\frac{4-7.75}{22} =-0.17$

Have a nice day!

7 0

3 years ago

Read 2 more answers

5 glasses of soda and 4 salads = $9.50

laila [671]

1 GLASS OF SODA =.70 1 SALADS = $1.50 THE COST OF SODA AND SALAD IS $2.20 .70+$1.20=$2.20

7 0

3 years ago

Which of the following equations represent linear function?

luda_lava [24]

Answer:

click them all and whatever shows up right then keep that.. bc thats big ideas.. i know how that works

Step-by-step explanation:

3 0

3 years ago

The hourly salary of five workers are $6, $6, $8, $10, and $35.

Lisa [10]

Well mean would not work because the is an outlier. The answer is B) Median i am 90% sure :D I hope you pass your test!

7 0

4 years ago