Find parametric equations for the curve with the given properties.
The line with slope 1/2, passing through (1, -4)

Answers

Answer 1

Answer:

y = 1/2x -9/2

Step-by-step explanation:

y+4 = 1/2(x-1)

y = 1/2x -1/2 - 4

y = 1/2x + (-1-8)/2

y = 1/2x -9/2


Related Questions

Write the decimal .0006 as a fraction

Answers

Answer:

6/1000

Step-by-step explanation:

.0006 times 10,000

A frustum of height 4 is part of a larger pyramid of height 6. What is the ratio of the volume of the frustum to the volume of the pyramid?

Answers

Answer:

26 : 27

Step-by-step explanation:

The volume of the pyramid with height of 6:

V = 1/3bh = 1/3b*6 = 2b,b is area of the base

The volume of the smaller pyramid is:

V₁ = 1/3*b₁h₁

We know:

h₁ = 6 - 4 = 2h₁/h = 2/6 = 1/3

The base sides have same ratio as similar triangles.

b₁ = (1/3)²b= b/9

The volume of smaller pyramid:

V₁ = 1/3*2*b/9 = 2b/27

The difference of the volumes is the volume of the frustum:

V₂ = V - V₁V₂ = 2b - 2b/27 = 52b/27

The ratio of V₂ to V is:

52b/27 ÷ 2b = 26/27

How many more people studied for 0-30 minutes than people who studied for 121-150 minutes?

Answers

Answer:

5 more people studied more in 0-30 minutes than people who studied 121-120 minutes.

Step-by-step explanation:

five more people studied for 30 minutes then 121 minutes

PLEASE HELP ME WITH QUESTION ONE AND EXPLAIN YOUR ANSWER PLEASE

Answers

Answer:

168 in³

Step-by-step explanation:

First, you get the area of the triangle - 1/2(7)(6)=21.  Then you multiply it by the height.  21x8=168

Answer:

Answer in explanation

Step-by-step explanation:

The formula for volume of a triangular shape is Volume = base x height x length / divided by 2

1. V = 7 ( base ) x 6 ( height ) x 8 ( length ) divided by 2 = 168in3 ( in cubed )

2. V = 5 ( base ) x 6 ( height ) x 3 ( length ) divided by 2 = 45in3 ( in cubed )

* make sure you put all your answers for volume in in3

I hope this helped, good luck!

Please answer correctly I am offering brainalist + 10 points for correct answer (:

Answers

The answer is B - vertical angles

Answer:

B. Vertical Angles

Solve the inequality:
8+4x≥12

Select one:

x≤1

x≥5

x≥1

x≤5

Answers

Answer:

x ≤ 1

Step-by-step explanation:

8 + 4x [tex]\geq[/tex] 12

4x [tex]\geq[/tex] 12 - 8

4x ≥ 4

Dividing both sides by 4 gives;

x ≤ 1

Estimate 45.8 / 4.1 = ? (Must show work)

Answers

Your answer will be about 11.

Determine the length of DE.

Answers

It is 5 ! :) because since the triangle ABC = DEF The measurements will be the same. The formula for finding the DC (hypothenuse) is a squared + b squared = c squared


Plug it in-
3*3=9
4*4=16
9 + 16 =25
Find the square root of 25 which brings the answer to 5 :)

The scale on a map is 1in. = 2 mi. On the map, Greg’s house is 4in. from Melissa’s house. What is the actual distance from Greg’s house to Melissa’s house?

Answers

The distance from Greg's house to Melissa's is 8 mi.

Step-by-step explanation:

Multiply 4 by 2.

The length of a rectangle is 3 units more than its width. If
w represents the width of the rectangle, which of these
expressions represents the area of the rectangle?

Answers

Answer:

Step-by-step explanation:The length is 3+l therefore the Expression is (3+l)>w

what is 2/5 x 5/6
i need the answer in 3 minutes

Answers

1/3

...............

.

...........

Answer:

1/3

Step-by-step explanation:

Thanks if you helped ily

Answers

Answer:

R.Jordan

Step-by-step explanation:

He/she owes the bank $54.31, compared to M. Palmer who owes the bank $56.72, and B. Leftwich, who owes the bank $74.19.

R.Jordan owes the bank the least amount of money.

Hope that helps!

-Sabrina

The answer Is M. Palmer

Plz help

Hhhhhhhheeeeeeeeellllllllllppppppppp

Answers

Answer:

Step-by-step explanation:

1kg = 1000g

3000g [divide by 1000 to get answer in kg]

3kg = D

The three most commonly used graphs in research are the histogram, the __________, and the cumulative frequency graph (ogive)

Answers

Answer:

The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs.

Pythagorean theorem and Converse; find the value of x.

Answers

Answer:

x = 12.206555

Step-by-step explanation:

10^2 + 7^2 = 149

Sqrt(149) = 12.206555 = x

x ≈ 12.2, 12

Therefore, the value of the hypotenuse [tex]x[/tex] is [tex]12[/tex].

What is the pythagorean theorem?

The Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

Here given that,

[tex]B=7,P=10[/tex]

As we know,

[tex]H^2=B^2+P^2[/tex]

Substitute the given values in the formula is

[tex]x^2=(7)^2+(10)^2\\\\x^2=49+100\\\\x^2=149\\\\x=\sqrt{149}\\\\x=12[/tex]

Hence, the value of the [tex]x[/tex] is [tex]12[/tex].

To know more about the Pythagorean theorem

https://brainly.com/question/14930619

#SPJ2

f(x) = V22
g(x) = V322
Find (f .g)(x). Assume x2 0.
O A. (f.g)(x) = 8x
B. (f.g)(x) = 8VC
O c. (f.g)(x) = 32x
D. (f.g)(x) = V34x

Answers

Answer:

Step-by-step explanation:

g(x) = √(32x) = √(2⁵x) = 4√(2x)

(f∘g)(x) = f(g(x))

= f(4√(2x))

= √(2 ⋅ 4√(2x))

= √(8√(2x))

= √8∜2∜x

= ∜(2⁷x)

= ∜(128x)

which doesn’t match any of the choices. There’s an error in the question.

I believe that the functions were written incorrectly and the x should not be part of the radicands (see attachment). That makes the answer A.

Help please! Thanks to anyone who answers. I’ll give brainiest!

Answers

Answer:

A

Step-by-step explanation:

Need help ASAP question 12

Answers

Answer:

Parallelogram

Step-by-step explanation:

Opposite sides are parallel

what is 3p-5= -44
can anyone answer this

Answers

P=-44 is the correct answer
p=-13

3p-5=-44
add 5 to -44 which equals -39

3p=-39
divide 3 by -39 which equals -13

Helppppppppppp AND NO LINKS

Answers

the scatter plot is negative

Please help with this math question'

Answers

Answer:

h = 1296 feet

Step-by-step explanation:

Given that,

The vertical position of the object is :

[tex]h(t)=-16t^2+160t+896[/tex] .....(1)

We need to find the highest height reached by the object. For highest height,

Put dh/dt = 0

[tex]\dfrac{d}{dt}(-16t^2+160t+896)=0\\\\-32t+160\\\\t=\dfrac{160}{32}\\\\t=5\ s[/tex]

Put t = 5 in equation (1).

[tex]h(5)=-16(5)^2+160(5)+896\\\\=1296\ ft[/tex]

So, the height reached by the object is 1296 feet.

-2x(x+3)-(x+1)(x-2)=​

Answers

Answer:

[tex]-3x^{2}[/tex] -5x +2

Step-by-step explanation:

Just combine like terms and solve.

-2x^2+-6x - (x+1)(x-2)

Use foil on the second part

-2x^2-6x - x^2-x-2

Now combine like terms and you’d get your final answer

mrs cofflands social studies class gas 14 boys and 9 girls in it what is the ratio of girls to boys write it 3 different ways​

Answers

Answer:

1.  14:9

2. 14 to 9

3. 14/9

Step-by-step explanation:

Find Sin L=
Will mark as brainliest

Answers

Answer:

[tex]\Huge\boxed{\frac{3}{5}}[/tex]

Step-by-step explanation:

The trigonometric ratio for sine is

sin = opposite over hypotenuse

the opposite side length of L is 6 and the hypotenuse is 10

so sin L = 6 over 10

then we simplify

6/2 = 3

10/2=5

the answer would be 3/5

K k k k k K k k k k k k k k k k

help? :’) on math:

Which equation would you use to solve the following situation?

If everybody on the team scores 6 points, and the team has a total of 42 points, how many people are on the team?

1. 6 p = 42
2. 7 p = 42
3. 6 + p = 42
or 4. 42 - p = 6

what number ??

Answers

Answer:

yeppy the answer should be 1. 6p=42 :)

Name the longest and shortest side in each triangle.

Answers

The answer is B mn,ln
the answer is lm,nm

OBJECTIVES QUESTIONS
If P = (7, 9, 13) and Q = (1, 7, 13)
Find P Q
A. (1,7, 13) B. (1,9, 13) mos
C. (7, 13) D. 7, 9, 13)
E. (13)​

Answers

Answer:

A write all the numbers and then plus(+) them and get the answer but plus the separate

5) What does QRST → Q'R'S'T' mean?

Answers

Answer:

QRST becomes Q prime, R prime, S prime, T prime.

Step-by-step explanation:

Any figure that is rotated, translated or reflected on the corrdinate plane is considered a prime (as long as it is congruent (the same as, or equal to) with the original). The apostrophe stands for prime.

Ex. If you reflect triangle ABC across one of the axes, the original triangle will continue being ABC, while the reflection would be A' B' C' (or A prime, B prime, C prime). I hope this helps :)

An _____ is a single outcome or group of outcomes.

a.) event
b.) probability
c.) sample
d.) None of these

Answers

Answer:

D

Step-by-step explanation:

The article "an" can only be used with the word "event" so that automatically takes the choices b and c out of the way. An event is something that happens and causes the outcome, it is not the outcome, so it is not A. Thus, the answer is D

4. Jean and Mark are going to fill a pool with 2 different sized hoses. Jean can fill the pool in 4 hours, while Mark can complete it in 6 hours. Their supervisor thinks that the job will take 5 hours to
complete if they work together. Explain each step in solving this equation, and determine if the supervisor is correct or not.

Answers

Answer:

2.4 hours.

Step-by-step explanation:

Remark

The supervisor is not quite correct. The correct answer must be lower than the lowest number, otherwise you are taking out what the person with the narrower hose must be taking out what the other person is putting in.

Equation

Let x = the amount of time needed for him to fill the pool

Let y = the amount of time needed for the second person to fill the pool

Let z = the amount of time needed for both to fill the pool.

1/x + 1/ y = 1/z

1/4 + 1/6 = 1/z         The common denominator is 12

3/12 + 2/12 = 1/z

5/12 = 1/z                Cross multiply

5z = 12 * 1               Divide by 5

z = 12/5

z = 2 2/5

z = 2.4 hours

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