Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x2+9 and y=2x2−3 . URGENT PLS HELP

Answers

Answer 1

Answer:

The length is 4

Step-by-step explanation:

Type in the equations into Desmos, and you will find the intersected points in the graph. Then just look at the distance between the 2 points

Answer 2

Answer:

AB=4

Step-by-step explanation:

1. Since you are finding the intersection points of two parabolas:

a. y=-x²+9

b. y=2x²-3

2. You have to set them equal to each other:

2x²-3= - x²+9

2x²+x=9+3

3x²=12

x²=4

This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.

√x²=±√4

x=±2

or

x=2; x=-2

3. Then you substitute them into each equation. For this step, any sign 2 will work.

a. y=-(2)²+9

y=-4+9

y=5

b. y=2(2)²-3

y=8-3

y=5

4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.

5. Now we use the distance formula:

[tex]\sqrt{(x₂-x₁)^{2} +(y₂-y₁)^{2} }[/tex]

The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.

[tex]\sqrt{(2+2)^{2} +(5-5)^{2} }[/tex]=

√16=

4

The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.

So AB=4


Related Questions

A rectangular swimming pool measures 50 meters in length and 25 meters in width. Noah is make a scale drawing of the pool using the scale 1 centimeter represents 5 meters. What would the length and width of his scale drawing be in centimeters. ( scale is 1 cm =5 meters)

Answers

Answer;13

Step-by-step explanation:

13 bc she was adding

Amanda and her best friend found some money buried in a field. They split the money evenly, each getting $24.28. How much money did they find? problem solving would really help thank youu!!!!

Answers

48.56

hope this helps

/A hawk is in a tree 100 feet above the ground. It flies down to the ground?

Answers

Answer:

i'know

Step-by-step explanation:

yes? it will fly to the ground

YO PLEASE HELP ME NOW!!!!!!!!

Answers

Answer:

N is equal to 5

Explanation:

N is equal to 5 because 7 subtracted from 12 and 8 subtracted 13 are equal 5.

Please answer! Thank you in advanced

Answers

Answer: D

Step-by-step explanation:

To solve this problem, let's go through each pair to see if they are perpendicular lines.

A. Incorrect

These are parallel lines. We know this because they have the same slope and different y-intercept.

----------------------------------------------------------------------------------------------------

B. Incorrect

These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.

----------------------------------------------------------------------------------------------------

C. Incorrect

These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.

----------------------------------------------------------------------------------------------------

D. Correct

These are perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair matches this property.

----------------------------------------------------------------------------------------------------

E. Incorrect

These are not perpendicular lines. You can see that y=5 and x=5. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.

Write each sentence using mathematical symbols

The quotient of x and 7 is 5 more than three times

Answers

Answer:

36

Step-by-step explanation:

so basically thats the answer

The table below shows the total cost of buying printer ink cartridges for both members and nonmembers of a shopping club. Price of Ink at Shopping Club Number of ink cartridges purchased Total cost for members (with membership fee) Total cost for nonmembers 0 $30 0 1 $40 $25 2 $50 $50 3 $60 $75 Which statement is supported by the table?

Answers

Answer:

B

Step-by-step explanation:

Answer:

the answer is a i did the quiz

Step-by-step explanation:

Solve this equation.
5(x+8)-1=20+2(x+8)
using the pen
feature. Show all of
your work.

Answers

Answer:

5(x+8)-1=20+2(x+8)

or, 5x + 40 -1 = 20 + 2x + 16

or, 5x-2x = 20+ 16 -39

3x = -3

x = -1

Step-by-step explanation:

Solve for x: −10x+5= -6x-35

Answers

X= 10 I did it on my calculator so don’t worry :)

Step-by-step explanation:

-10x+5= -6x-35

-10x+6x=-35-5

-4x=-40

x=10

please mark as brainliest

Answer each question with a fraction. A cake that weighs 4 pounds was split equally among 8 children. How much cake did each child get?

Answers

Answer:

4/8 or 1/2

Step-by-step explanation:

Divide among 8 because its eight children

what is the answer to 2,228 -(-15)? and how would you find the answer?​

Answers

Answer:

33420

Step-by-step explanation:

PEMDAS

parenthesis first

then multiplication

so a negative(-) times a negative(-15) is a positive. SO it becomes positive 15 times 2228 and equals 33420

the price of gravel is $24 for every 3/8 ton. kate wants to know the price of 2 tons of gravel

Answers

Answer:

$128

Step-by-step explanation:

your looking for 16/8, divide 16 by 3, leaving you with 5.333...

now times that by $24, and you have your answer hope this helps

The price of 2 tons of gravel is $128.

Given:

The price of gravel is $24 for every [tex]\dfrac{3}{8}[/tex] ton.  

To find:

The price of 2 tons of gravel.

Explanation:

Let [tex]x[/tex] be the price of 1 ton of gravel.

Then the price of [tex]\dfrac{3}{8}[/tex] ton is [tex]\dfrac{3}{8}x[/tex] and the price of 2 tons of gravel is [tex]2x[/tex].

It is given that the price of gravel is $24 for every [tex]\dfrac{3}{8}[/tex] ton.  

[tex]\dfrac{3}{8}x=24[/tex]

[tex]x=\dfrac{8}{3}\times 24[/tex]

[tex]x=8\times 8[/tex]

[tex]x=64[/tex]

Now, the price of 2 tons of gravel is:

[tex]2x=2(64)[/tex]

[tex]2x=128[/tex]

Therefore, the price of 2 tons of gravel is $128.

Learn more:

https://brainly.com/question/17592695

Is 4.5 natural number?​

Answers

Answer:

No

Step-by-step explanation:

4.5 IS NOT A WHOLE NUMBER!

Answer:

YES 4.5 IS NATURAL NUMBER

Step-by-step explanation:

m-8=33 can you plz help me do this ​

Answers

Answer:

41

Step-by-step explanation:

m-8=33

Combine like terms by moving 8 to the other side

m=33+8

m=41

I hope this helps! Please comment if you have any questions.

Answer:

M = 41

Step-by-step explanation:

This question is a basic one. Don't let the letter freak you out haha. All you need to do for something like this is find out what minus 8 is 33. An easy way we can do this is just add 8 to 33. 33 + 8 = 41.

41 - 8 = 33.

Your answer is 41.

Hope this helps and have a nice day!

Where is the camera's shutter located?

Answers

Answer: The camera shutter is located inside the camera body.

Fun Fact - In the 1957 film “12 Angry Men” the focal length of the lenses in the cameras used were gradually increased to create a feeling of claustrophobia.

Hi.
I need help with these questions
Please show workings

The remaining options for No 49 are :
a. 40k
B. 60k
C. N1.40
D. 1.60
E. No change

Note : (100k = N1)​

Answers

Answer:  48) D. 4        49) C. N1.40

Step-by-step explanation:

A $2 postal money order actually costs $2.15

$10.00 ÷ $2.15 = 4.65

Since you can't purchase a fraction of a money order, the most you can buy is 4

4 money orders will cost  $2.15 × 4 = $8.60

The change from $10.00 will be  $10.00 - $8.60 = $1.40

3x+2y+6-7x+y+10x-6x-3y-6

Answers

The answer is 0 the math problem don’t make no equal

Answer:

3x+2y+6-7x+y+10x-6x-3y-6

13x-13x+3y-3y+6-6

0

Which inequality is shown in the graph?

Answers

i think it’s B). y ≤ x2 − 5

hope this helps!

Leslie ran a total of 8 miles over the course of 4 track practices. How many miles would Leslie have ran after 5 track practices? Solve using unit rate.

Answers

Answer:

10 miles

Step-by-step explanation:

Find how much she runs during one track practice by dividing 8 by 4. This gives you the equation 2x, with x being the number of track practices.

Answer: 10 miles after 5 track practices.

Step-by-step explanation: Lets find the unit rate of this problem. Remember that unit rate means the denominator will always have a 1.

8/4 converted to a unit rate is 2/1

The unit rate is 2 miles per every 1 track practice.

We can use the unit rate to solve how many miles Leslie would have ran after 5 track practices.

2/1 x 5 = 10/5

So, Leslie would have ran 10 miles after 5 track practices.

CAN YOU SOLVE THIS PROBLEM?​

Answers

Answer:

B. 1. x^6

2. -6a^7

3. r^11

4. x^6

5.a^3b^6

6.x^14

7. 12y^8

8. 55x^4y^6

9. 30m^4n^4

10. 6a^10b^6c^16

C. 1. 40m+60n-810

2. 12am^2 - 8an- 16al^3+4ap

3. 2xmn-3ymn-4zmn

4. 20bx^2-8bx+20b

5. -28xa+4xb-14x

6. y^2 - 4

7. 4x^2 - 16

8. 16b^2 - 4

9. 25a^2-49

10. 9m^2-49

If you dig a six feet deep hole how deep is that hole

Answers

Answer:

this is probably a trick question but it should be 6 feet deep

Step-by-step explanation:

sorry if it's wrong but good luck :)

Answer:

6ft

Step-by-step explanation:

Assuming you are starting at ground level and not inside another hole, if you dig 6ft, then that hole will be 6ft.

Cheers.

solve the equation −12=y−11

Answers

Step-by-step explanation:

this is your answer..........

Rewrite (x – 3) (x + 5) + (x – 3) (2x – 1) as the product of two binomials.​

Answers

(x - 3)(x + 5) + (x - 3)(2x - 1)

We can factor out (x - 3) since both terms have that in common. Then we simply add together x + 5 and 2x - 1

(x - 3)(3x + 4) is the final answer.

what coordinate expression represents the coordinates of any point after dilation by any scale factor, a?

Answers

Answer:

(x,y) → (ax,ay) .

Step-by-step explanation:

A dilation is a transformation that changes the size of the image. It either shrink or enlarge a shape by using a scale factor about a center of dilation.

If we transform point (x,y) by using dilation with scale factor k (assume center of dilation at (0,0) then the coordinate of the image will be (kx,ky).

So, the coordinate expression represents the coordinates of any point after dilation by a scale factor of a:

(x,y) → (ax,ay) .

Answer:

[tex]\huge\boxed{(ax, ay)}[/tex]

Step-by-step explanation:

In order to dilate the coordinates of a point, we want to make it [tex]a[/tex] times bigger. In order to do this, we can multiply the x and y values by our scale factor, a. This is called mapping. What it does is it basically multiplied our points by a specific number so that we end up with a figure that is [tex]a[/tex] (the scale factor) times bigger than the original.

So in order to make an expression for this, we multiply the x and y coordinates by a. So we have ax and ay.

Hope this helped!

Combine the terms in the following expressions.
a. 10x-4x

Answers

Answer:

6x

Step-by-step explanation:

Step 1:

10x - 4x

Answer:

6x

Hope This Helps :)

Frankie buys six and twelve fifteenths pounds of cherries and four and four sixths pounds of grapes. How many pounds of fruit did she buy in total?

A. ten and forty two ninetieths pounds
b. ten and sixteen twenty firsts pounds
c. eleven and forty two ninetieths pounds
d. eleven and sixteen twenty firsts pounds

Answers

Answer:

the answer is C: eleven and forty two ninetieths pounds

Step-by-step explanation:

The total number of pounds of fruit that Frankie bought is 11 + 42/90 pounds, which is the same as option (C), eleven and forty-two ninetieth pounds.

What is the addition operation?

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

To find the total number of pounds of fruit that Frankie bought. Since both amounts are already given in pounds, we don't need to convert them.

Next, we need to add the two amounts together. Six and twelve fifteenth pounds can be written as 6 + 12/15 pounds, and four and four-sixths pounds can be written as 4 + 4/6 pounds. Adding these two amounts together, we get 6 + 12/15 + 4 + 4/6 pounds = 11 + 42/90 pounds.

Therefore, the total number of pounds of fruit that Frankie bought is 11 + 42/90 pounds, which is the same as option (C), eleven and forty-two ninetieth pounds.

Learn more about Addition operations here:

brainly.com/question/25834626

#SPJ3

Which two numbers of the given data set have the same absolute value? Explain your answer in full sentences.

-5, 5, -3, 8
pls help. ;)

Answers

Answer:

The answer is -5 and 5 because when you do absolute value if there is a negative number then it turns into a positive number. Negatives will always turn out as positives when doing absolute value. :)

Step-by-step explanation:

Answer: the two numbers that have the same absolute value is -5, and 5.

Step-by-step explanation:

Absolute will just make any negatives to positive.

So, the absolute value of -5 is 5,  or the absolute value of -3, is 3.

If it's already positive, then nothing happens; it stays the same

So, the absolute value of 8 is 8, nothing is changed.

Dominic placed the following pieces of lumber in order from shortest to longest 23 over three 7 and 7/8 7.9 to 68 square root

Answers

Answer:

23/3

7 7/8

7.9

Step-by-step explanation:

x + 3y = 25
2x + y = 15

Answers

Answer: x=4 and y=7

Step-by-step explanation: x+3y=25

x+3y+−3y=25+−3y(Add -3y to both sides)

x=−3y+25

What is the solution to -3m = -15

Answers

Answer:

[tex]m=5[/tex]

Step-by-step explanation:

[tex]-3m=-15[/tex]

Divide both sides by -3:

[tex]\frac{-3m}{-3}=\frac{-15}{-3}[/tex]

[tex]m=5[/tex]

Answer:

[tex]m = 5[/tex]

Step-by-step explanation:

Solve for [tex]m[/tex] :

[tex]-3m = -15[/tex]

-Take [tex]-3m[/tex] and divide it on both sides of the equation:

[tex]\frac{-3m}{-3} = \frac{-15}{-3}[/tex]

[tex]m = 5[/tex]

Therefore, the value of [tex]m[/tex] is [tex]5[/tex].

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