Eliminate the parameter.
x = t + 4, y = t2 (5 points)


y = square root of x + x + 4

y = square root of quantity x minus four

y = x2 + 16

y = x2 - 8x + 16

Answers

Answer 1

Answer:

Last option

Step-by-step explanation:

We have the following equations:

[tex]x = t + 4\ ,\ \ y = t ^ 2[/tex]

The parameter that we must eliminate is t.

To eliminate the parameter we must clear t from both equations:

[tex]x = t + 4\\\\x -4 = t[/tex]

[tex]y = t ^ 2\\\\\sqrt{y} = t[/tex]

if  [tex]t = \sqrt{y}[/tex]  and [tex]t = x-4[/tex]

So:

[tex]\sqrt{y} = x- 4[/tex]

We square both sides of the inequality

[tex]y = (x-4) ^ 2\\\\y = x ^ 2 -8x +16[/tex]


Related Questions

59 =7r+3 what is the answer

Answers

Answer:

r = 8

Step-by-step explanation:

59 = 7r + 3

Switch sides:

7r + 3 = 59

Subtract 3 from both sides:

7r = 56

Divide both sides by 7:

r = 8

Answer:

r = 8

Step-by-step explanation:

59 = 7r+3

subtract both sides by 3

56 = 7r

divide both sides by 7

8 = r

A triangle has side lengths measuring 20 cm, 5 cm, and n cm. Which describes the possible values of n? 5 < n < 15 5 < n < 20 15 < n < 20 15 < n < 25

Answers

Answer:

15 < n < 25

Step-by-step explanation:

According to the triangle inequality theorem, any two sides lengths' sum should be greater than the third side. This also implies that to find the possible length of  the 3rd side given other two sides (let two given sides be x and y), we can say that the 3rd side length will be between x+y and x-y.

Hence, we can say that n should be between 20+5 and 20-5.

So, 20 - 5 < n < 20 + 5, which is

15 < n < 25

This is the correct answer.

Answer:

15 < n < 25 which on ed is D

Step-by-step explanation:

According to the triangle inequality theorem, any two sides lengths' sum should be greater than the third side. This also implies that to find the possible length of  the 3rd side given other two sides (let two given sides be x and y), we can say that the 3rd side length will be between x+y and x-y.

(7+u)^2−(5+u)^2=6v, (2−v)^2−(6−v)^2=4u.

Answers

Solve for u in (7 + u)^2 - (5 + u)^2 = 6v

u = 3(v - 4)/2

Substitute u = 3(v - 4)/2 into (2 - v)^2 - (6 - v)^2 = 4u

8v - 32 = 6(v - 4)

Solve for v in 8v - 32 = 6(v - 4)

v = 4

Substitute v = 4 into u = 3(v - 4)/2

u = 0

Therefore,

u = 0

v = 4

Please help in 23 & 24

Answers

Answer:

In order to answer 23, you have to include 22 in the picture. The answer to 24 is 3 times 11+6, and Kayla earns $351.

Step-by-step explanation:

Answer: $351

Step-by-step explanation:

f(x) = 3x + 6                 g(x) = x - 2

(f · g)(x) = (3x + 6)(x - 2)

             = 3x² - 6x + 6x - 12

             = 3x² - 12

(f · g)(11) = 3(11)² - 12

              = 3(121) - 12

              = 363 - 12

              = 351

           

NOTE: Q23 cannot be answered because the information from Q22 is needed.

70×40 I need to no 70×40 can you please help me??​

Answers

Answer:

2800

Step-by-step explanation:

since 7 x 4 is 28 , 70 x 40 is 2800 because 70 is 7 x 10 and 40 is 4 x 10,

so 7 x 10 x 4 x 10 can be moved to get 7 x 4 x 10 x 10. if we do this we get 28 x 100 therefore 2800

Answer:

2800

Step-by-step explanation:

hear is a tip do the butterfly method

The table shows the areas of a triangle where the base of the triangle stays the same but the height changes. Write an algebraic expression that can be used to find the area of the triangle that has a base of 5 units and a height of X.

Answers

(1/2)5x I hope this helps!!

What is the equation of the graphed function?

Enter your answer in the box.
f(x)=

Answers

F(x)=(x+1)^2 that’s the answer

Answer:

[tex]f(x)=(x+1)^2[/tex]

Step-by-step explanation:

We have been given graph of a function. We are asked to find the equation of the graphed function.

Upon looking at our given graph, we can see that the graph represents a parabola.

We know that vertex form of a parabola is: [tex]y=a(x-h)^2+k[/tex], where, (h,k) represents the vertex of parabola.

We can see that vertex of our given parabola is at point [tex](-1,0)[/tex], so substituting the coordinates of vertex of parabola, we will get:

[tex]y=a(x--1)^2+0[/tex]

[tex]y=a(x+1)^2[/tex]

Now we will find the value of a using coordinates of point (0,1) in above equation.

[tex]1=a(0+1)^2[/tex]

[tex]1=a(1)^2[/tex]

[tex]1=a*1[/tex]

[tex]1=a[/tex]

Therefore, the equation of our graphed function would be [tex]f(x)=(x+1)^2[/tex]

Help me please, please help

Answers

Answer:

Heyo. The answer is 60.48

Step-by-step explanation:

This is pretty easy, all you have to do is multiply the length, height, and width. Remember this. LxHxW. Thats is the formula. You do 4.2 cm, multiplied by 3.2 cm, then multiply that by 4.5 cm. Hope this helps! :)

Will mark BRAINLIEST!!!!

Answers

Answer:

the third one down

Step-by-step explanation:

Answer:

[tex]\frac{8\sqrt{x} }{y}[/tex]

I hope that helped

25= a/5 what is that?

Answers

[tex]\huge\bold\red{Answer}[/tex]

[tex]25 = \frac{a}{5} \\ a = 25 \times 5 \\ a = 125[/tex]

[tex]<b><marquee>❣..ℏ✺℘ḙ !т ℏḙℓ℘ṧ ʏ✺ṳ..❣</marquee>[/tex]

Answer:

hi there

your answer is A=125

Step-by-step explanation:

Step 1 :A=25 = a/5  - a/5

Step 2 :A=25-(a/5) = 0

Step 3 : A= 25-1/5×a = 0 - 25

Step 4 :A= -1/5×a = -25  -1/5

Step 5 :a = -25/(-1/5)

Step 6 : a = 125

i hope this helps  out

Have a great morning

FaithRawlins14

Which expression is equivalent 219 X minus 6X +2 And why?

Answers

19x - 6x + 2

Two terms have an X in them, so you can combine them :

19x -6x = 13x

You now have 13x +2, which can be rewritten as 2 + 13x

The 3rd answer is correct.

Hey there!

The correct choice is C. 2 + 13x

Like the answer says, all you have to do is combine the x’s and rearrange: 13x +2 can be rearranged as 2 + 13x

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

Solve for m.t=mr^2/3

Answers

t = mr^2/3

Divide both sides by r^2/3

m = t / r^2/3

Answer:

[tex]\large\boxed{m=\dfrac{3t}{r^2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{mr^2}{3}=t\qquad\text{multiply both sides by 3}\\\\mr^2=3t\qquad\text{divide both sides by}\ r^2\\\\m=\dfrac{3t}{r^2}[/tex]

Javier creates a rectangular painting.The painting is 3feet long and more than 2 feet wide.The expressions 3(2+x) represents the area of the painting.Write an expression equivalent to 3(2+x)​

Answers

Answer:

are there any answer choices to chose from. if so pls lmk the options. if not lmk and ill be happy to help

Step-by-step explanation:

3(x+2) is the answer

Find the values of x and y. Write your answer in simplest form.

Answers

Answer:

y = 6√3 and x = 6

Step-by-step explanation:

this is a 30-60-90 triangle.  The side opposite the 30° angle corresponds to the side of length 1  in the most basic 30-60-90 triangle; the side opp. 60° to the side of length √3; and the hyp. to the side of length 2.

To find y, write and solve an equation of ratios, as follows:

adj side           adj side      (adjacent to the 30° angle)

    y                       √3

 hypo               hypo    then (cross multiplying):  2y = 12√3, and

    12                     2       y = 6√3

If the hypo here is 12 and the adj side (y) is 6√3, then we can use the Pyth. Theorem to find the third side (x):

[12]² = [6√3]² - x²  ↔ 144 = 36(3) - x²   ↔  36 = x².  So x = 6 here.

Answer:

x = 6

y ≈ 10. 40

Step-by-step explanation:

Using the SOHCAHTOA principle we can solve for x and y since the angle is known and it is a right angle triangle.

hypotenuse = 12

adjacent = x

opposite = y

cos 60° = adjacent/hypotenus

cos 60° = x/12

cross multiply

x = 12 cos 60°

x = 12 × 0.5

x = 6

Finding y

sin 60° = opposite/hypotenuse

sin 60° = y/12

cross multiply

y = 12 sin 60°

y  = 12 × 0.8660254038

y =  10.392304845

y ≈ 10. 40

Find the equation of the line below.

Answers

y=5x is your answer :)

The equation of the line passing through the points (1, 5) and (2, 10) is y = 5x.

Step 1: Calculate the slope (m) using the given points (1, 5) and (2, 10).

The slope (m) is given by the difference in y-coordinates divided by the difference in x-coordinates:

m = (10 - 5) / (2 - 1) = 5 / 1 = 5

Step 2: Select one of the points to use in the point-slope form. Let's choose (1, 5) as (x₁, y₁).

Step 3: Substitute the values into the point-slope form equation:

y - 5 = 5(x - 1)

Step 4: Distribute and simplify the equation:

y - 5 = 5x - 5

Step 5: Isolate 'y' on one side of the equation:

y = 5x - 5 + 5

y = 5x

To know more about equation here

https://brainly.com/question/21835898

#SPJ2

a triangle has side lengths of 11 cm, 60 cm, and 61 cm. which is the correct equation to verify whether the side lengths form a right triangle

PLEASE HELP

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

Pythagoras' theorem:

a^2 + b^2 = c^2

'c' is the hypotenuse and also the longest length

Taking this into consideration, the correct option would be:

C) 11^2 + 60^2 = 61^2

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

Answer:

its c

Step-by-step explanation:

What segments are parallel on the attached diagram?

Answers

Answer:

From the given figure we get,

DC║AB

Step-by-step explanation:

It is given that,

<DCB  and <CBA are supplementary, that means  

<DCB + <CBA = 180

If these two angles are on the same side of a traversal CB.

<DCB and CBA are same side interior angles.

CB is the traversal of AB and DC

Therefore we get DC║AB

The correct answer is DC║AB

Which graph represents a bike traveling at a constant rate of 12 miles per hour

Answers

The graph that represents the line (y = 12x) is option C) and this can be determined by using the point-slope form of the line.

Given :

Bike traveling at a constant rate of 12 miles per hour.

The following steps can be used to determine the graph that represents a bike traveling at a constant rate of 12 miles per hour:

Step 1 - All the graphs in the option pass through the point (0,0). So, (0,0) is the point through which a line is pass through.

Step 2 - Another point is (1,12) through which line passes because it is given that bike traveling at a constant rate of 12 miles per hour.

Step 3 - The equation of the line that passes through the points (0,0) and (1,12) is given by:

[tex]\dfrac{y-0}{x-0}=\dfrac{12-0}{1-0}[/tex]

y = 12x

So, the graph that represents the line (y = 12x) is option C).

For more information, refer to the link given below:

https://brainly.com/question/2263981

find the perimeter of the shape below:

Answers

The answer would be 11

Yea that’s the right answer

6>x+3 1/3 solve the inequality ☹️

Answers

Answer:

2 2/3 >x

Step-by-step explanation:

6>x+3 1/3

Subtract 3 1/3 from each side

6-3 1/3>x+3 1/3-3 1/3

Replace 6 with 5 3/3

5 3/3 - 3 1/3 > x

2 2/3 >x

Show me the graph that approximate solution to the equation-2x +8=(.25)x

Answers

I hope this we help you

Answer:

The value of x is 3.555556 and the graph is attached in image

P and a are on points on the line 4x+2y=8. What are the coordinates?

Answers

Answer:

The answer is P(0,4) , Q(2,0)

Step-by-step explanation:

Final answer:

Points P and A are any coordinates where y = 4 - 2x. For example, P might be the point (1, 2).

Explanation:

The given equation is 4x + 2y = 8. To find the coordinates of points P and A, we can rearrange and simplify the linear equation. Divide the whole equation by 2, we get 2x + y = 4, or y = 4 - 2x. Therefore, the line has the slope-intercept form of y = mx + b, where m is the slope and b is the y-intercept. This line passes through all points (x, y) where y = 4 - 2x. Therefore, P and A can be any points satisfying this equation. For example, if x = 1, then y = 2, so one possible coordinate is P(1, 2).

Learn more about linear equation here:

https://brainly.com/question/32634451

#SPJ11

What is the approximate area of a semicircle with diameter of 22 inches

Answers

Answer:

Aprox 190 inch2

Step-by-step explanation:

A = [Pi*r^2]/2

A = 60.5*Pi

A = 189.97 inc2

Best regards

Answer:

190 Square inches

Step-by-step explanation:

Formula for a semicircle is A=3.14*r^2/2

R=11 because its half the diameter

11^2=121

121 * 3.14 = 379.94

379.94 / 2 = 189.97

189.97 is approximately 190.

Im not sure where to start with this one...

Answers

The volume of a cube is side length cubed (s^3)
So if you know the volume then take the cube root of 1/512... which is 1/8

So each side of the cube is 1/8.

There are 6 congruent sides on a cube (picture a “dice”). Do the area of each side would be (1/8)(1/8)= 1/64 then multiply that area by 6 and reduce ... you get 6/64 = 3/32 for the surface area

darlene wants to buy martian invader video game. The video game price is $100. Darlene has a coupon for 25%. What is the price of the video game with the coupon?

Answers

Answer:

$75

Step-by-step explanation:

100 ÷ 25=75

Hope this helps!☺

Final answer:

To find the price of the video game with the coupon, subtract the discount amount from the original price.

Explanation:

To calculate the price of the video game with the coupon, we first calculate the discount amount. The coupon is for 25% off, so the discount amount is 25% of $100. Using the formula discount = (percentage / 100) * original price, the discount amount is (25 / 100) * $100 = $25.

To find the price of the video game with the coupon, we subtract the discount amount from the original price. The price of the video game with the coupon is $100 - $25 = $75.

Therefore, the price of the video game with the coupon is $75.

Which segment is the image of AB reflected across the line y= -2

Answers

Answer:

GH

Step-by-step explanation:

If you look at y = -2, you can see that AB is one unit below it. Now if you flip this line segment across y = -2, all you have to do is count on unit up and find segment GH is in the correct position.

Answer:

The line segment GH is the answer.

Step-by-step explanation:

In the given figure we can see that point B of line AB lies one unit below the given y=-2. Now, when this line across y = -2, the point B will lie one unit above -2 that is H with the other end G.                                                

So, GH is the correct answer.

Solve 20/15 = n/18 for the unknown quantity n

Answers

Answer:

n = 24

Step-by-step explanation:

[tex]\dfrac{20}{15}=\dfrac{n}{18}\qquad\text{cross multiply}\\\\15n=(20)(18)\\\\15n=360\qquad\text{divide both sides by 15}\\\\n=24[/tex]

Multiply. Express your answer in standard form. (x^2-4x+3)(-3x^2+7x-1)

Answers

Answer: See picture.

Step-by-step explanation:

For this king of method, I personally like using the Box Method. See Picture:

Which of these numbers is irrational?

Answers

An irrational number is not ending and non repeating

Square root of 16=4

Square root of 100=10

Square root of 36=6

These are all rational

The square root of 15=3.872983......

The answer is square root of 15

Answer:

B. [tex]\sqrt{15}[/tex]

Step-by-step explanation:

We have been given four numbers. We are asked to find the irrational number from our given number.

A. [tex]\sqrt{16}[/tex]

[tex]\sqrt{16}=4[/tex]

Since we can write 4 as a fraction, therefore, [tex]\sqrt{16}[/tex] is a rational number.

B. [tex]\sqrt{15}[/tex]

[tex]\sqrt{15}=3.8729833462[/tex]

Since our given number has non-terminating non repeating decimal, therefore, [tex]\sqrt{16}[/tex] is an irrational number.

C. [tex]\sqrt{36}[/tex]

[tex]\sqrt{36}=6[/tex]

Since we can write 6 as a fraction, therefore, [tex]\sqrt{36}[/tex] is a rational number.

D. [tex]\sqrt{100}[/tex]

[tex]\sqrt{100}=10[/tex]

Since we can write 10 as a fraction, therefore, [tex]\sqrt{100}[/tex] is a rational number.

5x−2y=305, x, minus, 2, y, equals, 30
Complete the missing value in the solution to the equation.
(8,(8,left parenthesis, 8, comma
))right parenthesis

Answers

Answer:

The missing value is 5

The solution is (8,5)

Explanation:

The given equation is:

5x - 2y = 30

An order pair is written as (x , y). We are given (8 , ?)

This means that we want to find the y value that corresponds to x=8

To do this, we will substitute with x=8 in the given equation and solve for y

This is done as follows:

5x - 2y = 30

5(8) - 2y = 30

40 - 2y = 30

2y = 10

y = 5

This means that at x=8 and y=5, the equation is satisfied

(8,5) is a solution to the given equation

Hope this helps :)

Answer:

(8, 5)

Step-by-step explanation:

The given equation is:

5x - 2y = 30

We have to complete the given incomplete solution set (8, ?)

The first point in the ordered pair is always the x-value. So we are given an x-value and we have to find the corresponding y-value from the function.

Using x = 8 in the given function, we get:

5(8) - 2y = 30

40 - 2y = 30

- 2y = 30 - 40

- 2y = -10

y = 5

So, the value of y for x = 8 is 5. The complete ordered pair that satisfy the equation will be (8, 5)

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