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vodomira [7]
3 years ago
14

Which points are on a plane curve described by the following set of parametric equations?

Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0

ANSWER

The points (1,2) and (7,2) lie on the given curve.

EXPLANATION

The given parametric equations are:

x = 3t + 4

and

y = 2 {t}^{2}

We make t the subject in the first equation to obtain:

t =  \frac{x - 4}{3}

We substitute this into the second equation to get:

y =2{(\frac{x - 4}{3} )}^{2}

When x=1,

y = 2 {(\frac{1 - 4}{3} )}^{2}  = 2

When x=2

y =2{(\frac{2- 4}{3} )}^{2}  =  \frac{8}{9}

When x=7,

y =2{(\frac{7 - 4}{3} )}^{2}  = 2

Therefore the points (1,2) and (7,2) lie on the given curve.

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4 years ago
What is 922/21 as a mixed number?
Fed [463]

Answer:

The answer is 43 and 19 over 21

Step-by-step explanation:

21 goes into 922 43 times. This giving you 903. 43 Will then be your Whole number. You the subtract 922 by 903, this giving you 19. 19 is going to be your numerator. Then you always keep the denomonator which is 21. This giving you 43 and 19 over 21

4 0
3 years ago
When you have a triangle and 2 of 3 angles are given the degrees and the last one is unknown, you subtract the two given degrees
storchak [24]

No, that's not right.  Sadly, the answer you entered on the
attached drawing is incorrect.  It's slightly more complicated
than that ... only slightly.

First, think about this for a second:  What if the two GIVEN angles
on the drawing had the same number of degrees ?  Then by the
method you've been using, you would subtract them from each
other, and that would give you zero.  So you would say that the
last angle is zero degrees ?  Can you see that this doesn't really
work ?

Here's how it's really done:

It all rests on a rule about triangles.  This is ALWAYS true, and
you should memorize it:

           When you add up the degrees of all three angles
           inside a triangle, the sum is ALWAYS 180 degrees.

So now, when you're given two of the angles, you know that
the unknown one must be exactly enough to bring the sum of
ALL of them up to 180 degrees.

Work it like this:

-- Take the two given angles.
-- ADD them.
-- Subtract their SUM from 180.
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In the drawing you attached:

-- The given angles are  39  and  102 .
-- Add them:  39 + 102 = 141
-- Subtract the sum from 180:    180 - 141 = 39 .
   The unknown angle is 39 degrees.

But that's the same as one of the given angles ! ?   :-(    ?    :-(

That's OK.  It's perfectly fine for two of the angles, or sometimes
even all three, to be the same size.  They just have to all add up
to 180 degrees, and everything is fine.

4 0
3 years ago
Read 2 more answers
Frank has 24 pennies, 62 nickels, 55 dimes, 16 quarters, and 19 fifty-cent pieces. How much money does he have?
DedPeter [7]

Answer:

$22.34

Step-by-step explanation:

really simple.

just multiply the number by how much the coin is worth

24 x 1 = 24

62 x 5 = 310

55 x 10 = 550

16 x 25 = 400

19 x 50 = 950

then add all of them

24 + 310 + 550 + 400 + 950 = 2234

and finally divide it by 100

2234 ÷ 100 = 22.34

and just pop in a dollar sign

$22.34

8 0
3 years ago
The volume of a cube is 216mm3.What is the length of its side?
Studentka2010 [4]
Steps:
216 mm3 is the volume.

Given the volume, you can take the cube root of the volume to find the side.
The cube root of 216 is 6.

Answer: 6
8 0
3 years ago
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