A curve is describe by the following parametric equations:
x=3+t, y=t^2-4
Which statement best describes the curve?
A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.
B. The curve is a parabola with a vertex at (3,-4) and is traced from right to left for increasing values of t.
C. The curve is a parabola with a vertex at (-3,4) and is traced from left to right for increasing values of t.
D. The curve is a parabola with a vertex at (-3,4) and is traced from right to left for increasing values of t.

Answers

Answer 1

Answer:

A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.

Step-by-step explanation:

x = 3 + t

y = t² − 4

Eliminating the parameter:

t = x − 3

y = (x − 3)² − 4

This is an upwards parabola with a vertex at (3, -4).

x = 3 + t, so as t increases, x increases.

So the curve is traced from left to right.


Related Questions

What is the mean for the data set? (11, 10, 9, 12, 10). A-9 B-12 C-11 D- 10.4

Answers

Answer:

10.4

Step-by-step explanation:

If you add all of these up and divide by 5 you get 10.4 which is the average value.

Answer:

D

Step-by-step explanation:

(11+10+9+12+10)/5= 10.4

Katy keeps chickens. For every one white egg she gets five brown eggs.
There are 30 eggs altogether
a)How many white eggs are there?

b)How many brown eggs are there?​

Answers

You need to split 30 to the ratio of 1:5 so you add 1 and 5 to get 6
You then divide 30 by 6 to get 5
She gets 5 white eggs and (5*5) 25 brown eggs

Which fraction is equivalent to g?
24
4
o
40

Answers

Answer:

24

Step-by-step explanation:

I took the test

Find the measure of the missing sides in each special right triangle. Leave answer in simplest radical form.

Question 20 options:

X = 8 Y = 7


X = 10 Y = 7√2


X = 8√2 Y = 7√3


X = 8√3 Y = 14√2

Answers

Answer:

X=8 Y = 7

Step-by-step explanation:

50 POINTS what is the average rate of change of the function f(x)=3x^2 on the interval from 0 to 2?

Answers

Answer:

f=3x-2

Step-by-step explanation:

Will mark brainliest for whoever solves

Answers

Answer:exponential growth

Step-by-step explanation:

it suddenly jumps up to a higher point

Omar has a gift card with a $150 balance he buys several video games that cost $35 each after the purchase has his gift card balance is $45​

Answers

Answer:

3

Step-by-step explanation:

150-35=115

115-35=80

80-35=45

Answer:

Omar bought 3 games? (You didn't ask a question but this is what I assumed)

Step-by-step explanation:

Use this equation to find out how many games (x) Omar bought with $45 left over.

45 = 150 - 35x

Combine like terms and put them on opposite sides of the equal sign.

-105 = -35x

Divide both side by -35

3 = x, so x = 3

Omar bought 3 video games

Mongoose McHuffy has a bike shop. He only has bicycles and tricycles in stock. In total he has 21 items in stock with a total of 51 wheels. Can you tell Mongoose McHuffy how many bicycles and tricycles he has?

Answers

Answer:

12 bikes

9 tricycles

Step-by-step explanation:

x+y=21

2x+3y=51

x=-y+21

2(-y+21)+3y=51

-2y+42+3y=51

y+42=51

y=9

x=12

One root of is x = –10. What are all the roots of the function? Use the Remainder Theorem.

Answers

Answer:

x=-10, -5, 5

Hope this helps

Answer:

its D x = –10, x = –5, or x = 5

Step-by-step explanation:

please help me
What are the coordinates of the vertex of the function f(x) = x2 − 12x + 5?

(6, 31)
(−6, 31)
(6, −31)
(−6, −31)

Answers

Answer:

This means that the coordinates of the vertex of the function are [tex](6,-31)[/tex]

Step-by-step explanation:

To find the x-coordinate of the vertex of a quadratic function, we can use the formula:

[tex]x=\frac{-b}{2a}[/tex]

We are given the function [tex]f(x)=x^2-12x+5[/tex]

In this function, [tex]a=1[/tex] and [tex]b=-12[/tex]

Now we can input these values into our formula

[tex]x=\frac{-(-12)}{2(1)} \\\\x=\frac{12}{2} \\\\x=6[/tex]

This means that the x-value of the vertex is located at [tex]x=6[/tex]. To find the other half of the coordinate pair, we can now plug [tex]x=6[/tex] into the given function

[tex]f(6)=(6)^2-12(6)+5\\\\f(6)=36-72+5\\\\f(6)=41-72\\\\f(6)=-31[/tex]

This means that the coordinates of the vertex of the function are [tex](6,-31)[/tex]

Which equation can be used to find the surface area of the cylinder?

r= 6 cm

h = 8 cm

S= 28(8)2 +2 (12)(6)

O S=2(6)? +2(6)(8) *

O S=212)2 + 23412)(8)

S = 2846)2 +27(6)(8)

Answers

Answer:

S = 2π(36) + 2π(6)(8)

S = 2(3.14)(36) + 2(3.14)(6)(8)

Step-by-step explanation:

The surface area of a cylinder is the sum of the area of the base and the lateral area. A cylinder has 2 circular base .

Surface area = 2πr² + 2πrh

surface area = 2πr(r + h)

where

r = radius

h = height

surface area = 2πr(r + h)

r = 6 cm

h = 8 cm

The equation to find the surface area is represented below.

Surface area = 2πr² + 2πrh

S = 2π (6²) + 2π (6)(8)

S = 2π(36) + 2π (6)(8)

Assuming π is given as 3.14 the equation will be as follows

S = 2(3.14)(36) + 2(3.14)(6)(8)

onw of the factors of the polynomial x^3+5x^2+6x is (x^2 +3x)

Answers

What does onw mean? If you tell me I should be able to figure out the rest of the question

Freya wants to use her debit card to purchase a $135 tablet computer.

What must Freya consider before using her debit card? Check all that apply.
She must be sure there is at least $135 in her bank account for the purchase.
She must check the interest rate on the debit card.
She must check to see if any automatic payments are scheduled for her
account.
She must check her credit history.
She must make sure she will be able to make the monthly payments.

Answers

Answer:

She must be sure there is at least $135 in her bank account for the purchase. and She must check to see if any automatic payments are scheduled for her

account.

Step-by-step explanation:

Answer:

☑️ A) She must be sure there is at least $135 in her bank account for the purchase.

☑️ C) She must check to see if any automatic payments are scheduled for her account.

Step-by-step explanation:

PLEASE ANSWER ASAP!!!!!!!!!!!!!

Answers

7/8 is the correct answer

It is important to shop around for the best
a.
grace period.
c.
credit limit.
b.
credit terms.
d.
waiting period.

Answers

I think it is B. credit terms

Yoko earns 48 dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells. Let A be the amount (in dollars) that Yoko earns in a week if she sells B books. Write an equation relating A to B. Then use this equation to find the amount of money Yoko earns if she sells 21 books.

Answers

Answer:

$69

Step-by-step explanation:

48 + 1B = A

48 + 1(21) = A = 69

David has twice as many cousins as Becky.
Becky has twice as many cousins as Nishat.
Nishat has 6 cousins.
How many cousins does David have?

Answers

Answer:

24 cugini

Step-by-step explanation:

6x2=12

12x2=24

24
Step1:6x2
Step2:12x2
Step3:24

What is the value of 3/7 x 5/21

Answers

Answer:

5/49

Step-by-step explanation:

3/7 x 5/21=15/147=5/49

Answer:

5/49

Step-by-step explanation:

Which statement best describes the
expression?
(a + 4)(2 - g)
a) The sum of two numbers
b) The product of two factors
c) The product of two numerals
d) The quotient of two factors

Answers

B) the product of two factors

Can someone help in this one please

Answers

Answer:

As radius is perpendicular to tangent,

By pythagoras theorem :

x² = (x + 9)² - 15²

x² = x² + 18x + 81 - 225

18x = 207

x = 11.5

What is the value of p?

Answers

p = 43°

The upper left corner of the triangle would be 90° (180°-90°= 90°) and the upper right corner would be 47° (180°-133°= 47°). The three angles of a triangle always equals 180° so 180°-90°-47°= 43°.

What is the probability that when you spin the spinner it will land on a
prime number?

Answers

Answer:

1/2

Step-by-step explanation:

prime numbers are 2,3,5, and 7

4/8 which is 1/2



One of the five cards is chosen at random. Find the probability of choosing a card with a number that

is a six. Write answer as a simplified fraction number, No decimals or percents:

Answers

Answer:

Zero.

Step-by-step explanation:

Well, assuming that the cards are numbered 1, 2, 3, 4 and 5, then the probability of getting 6 is zero, because there's no card with such number.

Remember that a simple probability is a ratio between the possible events and the total number of outcomes. In this case, the total number of outcomes is 5 and the events are zero, because there's no card with 6.

Simplify the expression.


[tex]\sqrt{3} - 2/\sqrt{12}[/tex]


Is a fraction on top.

Answers

Answer:

**Look at the picture**

What is the solution to the system of equations?

x + 3y = 5
2x − y = −4

A) (-1,2)
B)(2,1)
C) No solution
D) infinitely many solutions

Answers

Answer:

B

Step-by-step explanation:

did the test

Answer:

A

Step-by-step explanation:

multiply eq 1 by 2 then subtract both linear equations u will get y=2. substitute y=2 in any equation and u will get x=-1

An element that is malleable is

Answers

Answer:

gold

Step-by-step explanation:

Answer:

Examples of malleable metals are...

gold

iron

aluminum

copper

silver

lead

Gold and silver are highly malleable

Please help urgently!!!

Answers

The answer to the current question is the first one Skewed right

Answer:

Skewed Right

Step-by-step explanation:

Think of it as a hill, what direction is it facing? Right or Left? Whatever direction it is facing is the Skewed direction Symmetrical is an even-ish line across the graph, and random pattern is what it depict random dots on the graph.

Hope this helps :)

. Write the equation of a line in the graph below.
A. y = 3x - 2
B. y = 3x + 2
C. y = -3x - 2
D. y = -3x + 2

Answers

Answer:

D

Step-by-step explanation:

The y intercept is (0,2) so you can eliminate A and C because they have -2 and the slope is negative so you can eliminate B because it has a slope of +3 so you are left with D.

The correct answer is b. Y= 3x -2

What is the slope of a line parallel to the line whose equation is x+y=5 Fully reduce your answer.


Slopes of Parallel/Perpendicular Lines

Answers

Answer:

-1

Step-by-step explanation:

y=-x+5

Parallel lines have same slopes.

The slope of the parallel and perpendicular lines will be -1 and 1, respectively.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation of the line is given below.

x + y = 5

y = -x + 5

The slope of the equation is a negative one.

The slope of the parallel lines will be the same which is negative 1.

The slope of the perpendicular lines will be the negative inverse of the slope that is 1.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ3

To get 150g of a 12% solution, do you need more salt than to get 120g of a 15% solution?

Answers

Answer:

You don't necessarily need more salt. No!

Step-by-step explanation:

The go get 150g of a 12% solution,.

do not deal for need you need peoole

more salt than to get 120g of a 15% solution? Each one is complimented by something.

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