Use the graph to answer the question.
On a coordinate plane, a line goes from (negative 5, 7) to (3, 3).
Which parametric equations describe the curve?
x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
x = 0.5t + 4 and y = –t + 1 when –2 ≤ t ≤ 6
x = 0.5t + 4 and y = –t + 1 when –5 ≤ t ≤ 3
Answers
The answer for this question is A:
A = x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6
The parametric equations of the curve are:
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
Parametric equation of the line:The parametric equation of the line is, [tex]x=x_0+at,y=y_0+bt[/tex] where [tex](x_0,y_0)[/tex] is the point on the line and [tex]\frac{b}{a}[/tex] is the slope of the line with a, b are real numbers.
Slope of the line:If (a, b) and (c, d) are any two points on the line then, slope of the line is:
m = (d - b)/(c - a)
For given situation,
a line goes from (-5, 7) to (3, 3).
Using the formula of slope, the value of m i.e., slope of the line would be,
⇒ m = (7 - 3)/(-5 - 3)
⇒ m = 4/(-8)
⇒ m = 1/(-2)
⇒ m= 0.5/(-1)
Comparing with m = b/a,
b = 0.5 and a = -1.
From the graph of the line given below,
A point (1, 4) is also on the line.
Let [tex]\bold{(x_0,y_0)=(1,4)}[/tex]
Using the parametric equation of the line,
[tex]x=x_0+at[/tex]
⇒ x = 1 + (-1)t
⇒ x = -t + 1
and [tex]y = y_0+bt[/tex]
⇒ y = 4 + (0.5)t
⇒ y = 0.5t + 4
Therefore, the parametric equations of the curve are:
x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3
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Related Questions
HELP ASAP PLEASE NO LINKS
Question 1(Multiple Choice Worth 3 points)
(07.04)
The solution to 6x = 48 is x =
05
06
07
08
Answers
18,250 new species are discovered each year on plane earth. how many are found each day? ( giving brainliest )
Answers
Answer:
50 species every day
Step-by-step explanation:
How can I use coordinates to find distances determine perimeter and geometric shapes
Answers
Answer:
Step-by-step explanation:
sketch it out
The parent function f(x) = log3x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it down three units. which function is representative of this transformation?
g(x) = log3(-2x) - 3
g(x) = -2log3(x) - 3
g(x) = 2log3(x) + 3
g(x) = log3(2x) + 3
Answers
Answer:
f(x) = -2 log3x - 3.
Step-by-step explanation:
f(x) = log3x
Reflecting over x axis makes it f(x) = f(x) = -log3x
Vertical stretch gives -2 log3x
Finally moving the graph down 3 units gives -2 log3x - 3.
There is a box of colored marbles on the counter top. There are 24 blue, 16 green, and 56 red.
Write the ratio of green marbles to red marbles. Don't forget to put your answer in simplest form.
Answers
Answer:
i think its 2:7
Step-by-step explanation:
heres why
16 and 56 both have a number that equals which it is 8
so u divide
16/8=2
56/8=7
16:56 in simplest form is 2:7
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 40 % salt and Solution B is 90 % salt. She wants to obtain 50 ounces of a mixture that is 80 % salt. How many ounces of each solution should she use?
Answers
Answer:
The scientist must use 10 ounces of Solution A and 40 ounces of Solution B.
Step-by-step explanation:
Since a scientist has two solutions, which she has labeled Solution A and Solution B, each containing salt, and she knows that Solution A is 40% salt and Solution B is 90% salt, and she wants to obtain 50 ounces of a mixture that is 80% salt, to determine how many ounces of each solution should she use the following calculation must be performed:
100 x 0.9 + 0 x 0.4 = 90
90 x 0.9 + 10 x 0.4 = 85
80 x 0.9 + 20 x 0.4 = 80
50 x 0.8 = 40
Therefore, the scientist must use 10 ounces of Solution A and 40 ounces of Solution B.
Landon has a points card for a movie theater. He receives 70 rewards points just for signing up. He earns 5.5 points for each visit to the movie theater. He needs 125 points for a free movie ticket. How many visits must Landon make to earn a free movie ticket?
Answers
Answer:
10 times
Step-by-step explanation:
125-70 bonus points =55 points left.
55 divided by 5.5 per visit = 10 times to get a free movie ticket.
To verify it is correct:
10 visits x 5.5 points each = 55 points total
55 + 70 bonus points = 125 for a free ticket.
Answer:
10
Step-by-step explanation:
Let x= number of visits
5.5x+70=
125
subtract -70 from 70 and 125
5.5x= 55
divide both sides by 5.5
x=10
:)
Find the surface area of the cone.Use 3.14 for pi and round your answer to the nearest hundredth
Answers
Answer:
145.0 cm^2
Step-by-step explanation:
Given data
r= 4cm
l= 5cm
h=??
Apply Pythagoras theorem to find h we have
h^2= 4^2+5^2
h^2= 16+25
h^2= 41
h=√41
h= 6.4cm
Substitute into the formula for the surface area of cone
A=πr(r+√h^2+r^2)
A=3.14*4(4+√6.4^2+4^2)
A=12.56(4+√40.96+16)
A=12.56(4+√56.96)
A=12.56(4+7.547)
A=12.56*11.547
A=145.0 cm^2
What happens to the volume of a sphere if its radius is multiplied by 6?
Answers
Answer:
216 times the original
Step-by-step explanation:
Volume 1 = 4/3 πr³
volume 2 = 4/3 π(6r)³
v 2 / v 1 = 6³ = 216
When the radius of a sphere is multiplied by 6, the volume is multiplied by 216
How to determine the volume?Let the radius of the sphere be r
The volume of a sphere of radius, r is calculated as:
v = 4/3 πr³
When multiplied by 6, the radius becomes:
R = 6r
The new volume is then calculated as:
V = 4/3 π(6r)³
Divide both volumes
V/v = 4/3 π(6r)³ / 4/3 πr³
Evaluate the quotient
V/v = 6³
V/v = 216
Hence, when the radius of a sphere is multiplied by 6, the volume is multiplied by 216
Read more about volumes at:
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find the area of the shape below
I WILL MARK BRAINLEST!!
Answers
Answer:
25.75 sq units
Step-by-step explanation:
Big triangle = 1/2 * 3.5 * 9 = 15.75
Tiny triangle = .5 * 2 * 2 = 2
Medium triangle = .5 * 2 * 5 = 5
square = 2 * 2
15.75 + 4 + 5 + 2
1 hundredth+3 tenths equal what
Answers
.Answer:
The answer is .31
Step-by-step explanation:
When there is a “th” at the end of the number it signals that the number is to the right of the decimal.
Tenths are immediately to the right of the decimal, next is hundredths, then thousandths, and so on.
The area of the state of Nevada can be estimated using a trapezoid. Estimate the area of the state of Nevada.
A. 31,672 mi2
B. 78,980 mi2
C. 110,622 mi2
D. 131,327 mi2
Answers
Answer: 31,672 mi2
Step-by-step explanation:
The area of the state of Nevada can be estimated using a trapezoid
All of the following should be considered when designing a study except __________. A. the type of research method to use B. how to interpret collected data C. who the participants will be D. the type of measurement to use Please select the best answer from the choices provided A B C D
Answers
Answer:
b. How to interpret collected data.
Step-by-step explanation:
Answer:
All of the following should be considered when designing a study except __________.
( A.) the type of research method to use
( B.) how to interpret collected data (ANSWER)
( C.) who the participants will be
( D.) the type of measurement to use
Which is the better definition of line of best fit?
Answers
A line of best fit guides a line through a scatter plot of data points that best describes the association between those points.
What is line of best fit?
A line of best fit guides a line through a scatter plot of data points that best describes the association between those points. Statisticians typically utilize the least squares approach to arrive at the geometric equation for the line, either through manual computations or regression analysis software.
A line of best fit can be approximately specified utilizing an eyeball the method by marking a straight line on a scatter plot so that the numeral of points above the line and below the line stands about equal (and the line passes via as many points as possible).
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squares and rectangles both have four angles that measure 45° each true or false
Answers
Answer:
False
Step-by-step explanation:
They both have four angles that measure 90°.
Hope I helped.
No it isnt true. A rectangle or a square has right angles that have a degree of 90 so its actually 90 degrees.
there were 125 customers at walmart. 64% paid with a credit card;the rest paid with cash. how many paid with cash?
Answers
Answer:
45
Step-by-step explanation:
100-64 is 36. 36% paid with cash 125×35%=45 or 125×.36=45
Can somebody help me?
Answers
Answer:I cannot see photo
Solve for x:
3-a/x-a=1/a
PLEASE HELP NEED ASAPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR
Answers
hope this helps!!
a2 (exponent 2)
x= - _______
1 - 3a + a2 (exponent 2)
Mark brainliest please.
Help me plssss NO LINKS PLSSSSSSS
Answers
Answer:
perimeter- 36 in.
area- 77 [tex]in^2[/tex]
Step-by-step explanation:
to find the perimeter you add all of the sides, so
7 + 7 + 11 + 11 = 36
*** the opposite side of the 7 is also 7, same with the 11 :)
to find the area for a rectangle, you use the formula A=b*h
so, the base(b)=7 and the height(h)= 11
therefore, 7 * 11 = 77
I hope this helps!! :) if it does, brainliest?? :)
Write "yes" or "no" to state whether or not the given side lengths would form a right triangle.
NO LINKS PLSSS
-will mark brainliest :)
Answers
Answer:
"yes" or "no"
Step-by-step explanation:
A computer and printer cost $1128. The cost of the computer is three times the cost of the printer. Find the cost of each item. (Also have a great day :D)
Answers
Answer:
Computer 752
Printer 376
Step-by-step explanation:
1128./3=376
1128.-376=752
In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10th of a square inch?
Answers
9514 1404 393
Answer:
55,637.8 square inches
Step-by-step explanation:
We can find side n using the Law of Sines:
n/sin(N) = p/sin(P)
n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)
n ≈ 542.246913 . . . . inches
The angle O is ...
O = 180° -N -P = 180° -64° -96° = 20°
Then the area is ...
A = 1/2·np·sin(O)
A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²
The area of ∆NOP is about 55,637.8 in².
Answer:Area
≈
55637.81
≈
55637.8
Area≈55637.81≈55637.8
Step-by-step explanation:
Can someone please help me with this ?
Answers
the area of the square is 484
the area of the triangle is 220
484+220=704
Gina is shopping for a new bicycle. The price of the bicycle is $300 and there is an 8% sales tax. Gina wants to know the total price of the bicycle including soles tax. How much sales tax does Gina pay on the bicycle? Enter the amount in the table.
Answers
Answer:
24
Step-by-step explanation:
The person above me is incorrect . I got it right on the i-Ready Quiz!
If x + y = 5 and x - y = 3, then x^2 - y^2 = ?
A) 9
B) 15
C) 16
D) 25
E) 34
With steps pleaseee
Answers
Answer:
B) 15
Step-by-step explanation:
Using basic logic we find that x = 4 and y = 1
4^2 = 16
1^2 = 1
16 - 1 = 15
calcular el número de lados de aquel poligono cuyo número de diagonales.
Answers
1.36 km is how many cm
Answers
Answer:
136000 cm
Step-by-step explanation:
I think it's helps you
ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP
Answers
Step-by-step explanation:
11.True
12.False
13.False
14.False
15.True
16.False
17.False
18.True
19.True
20.False
Answer:
here
Step-by-step explanation:
Adrian is putting streamers across the ceiling of his dining room to decorate for his nephews birthday party. The ceiling is rectangular. Its area is 122,5 square feet, and its
width is 7 feet. How long should Adrian cut a streamer that will run the length of the ceiling?
Answers
Answer: 17.5 feet long.
THIS IS 7TH GRADE MATH SO ITS EASY
Answers
Answer:
b
Step-by-step explanation: