A reflector on the inside of a certain flashlight is a parabola given by the equation y = x2– 25. Find the points where
the reflector meets the lens by finding the values of x when y = 0.

Answers

Answer 1

Answer:

[tex]\boxed{x_1 = 5~~or~~x_2 = -5}[/tex]

.

Step-by-step explanation:

[tex]\to y = 0[/tex]

[tex]y = x^2 - 25[/tex]

[tex]x^2 - 25 = 0[/tex]

[tex]x^2 = 25[/tex]

[tex]x = \pm \sqrt{25}[/tex]

[tex]x = \pm 5[/tex]

.

[tex]x = 5[/tex]

[tex]x = -5[/tex]

Answer 2

The point where the reflector meets the lens is ± 5.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, A reflector on the inside of a certain flashlight is a parabola given by the equation y = x² - 25.

Now the points where the reflector meets the lens are,

0 = x² - 25.

x² = 25.

x = ± 5.

learn more about quadratic equations here :

https://brainly.com/question/17177510

#SPJ2


Related Questions

The two graduates with the greatest GPA from each of 14 randomly selected law schools were recruited to investigate a new method of preparation for a law exam. For each school, one student was randomly assigned to prepare using the standard method and the other student was assigned to prepare using the new method. At the end of the preparation, all 28 students were given the same exam, and their scores were recorded. Why can we conclude cause and effect from this type of study

Answers

Incomplete question. The missing question read;

Which of the following best describes why a matched-pairs design is an appropriate design for the investigation?

a. Each graduate was randomly assigned to one method.

b.  The law schools were randomly selected.

c.  Each method served as a block.

d.  The sample size was less than 30.

e.  Each law school served as a block, and the graduates were paired within each law school and randomly assigned to one of the two methods.

Answer:

e.  Each law school served as a block, and the graduates were paired within each law school and randomly assigned to one of the two methods.

Step-by-step explanation:

Note, the matched pairs design is typically used when the experiment has two independent variables (treatment conditions), so the subjects of the experiment are grouped into pairs based on some common variable relationship they have before been randomly assigned to the treatment conditions.

In this case, the graduates were paired within each law school and randomly assigned to one of the two methods (the two treatment conditions).

what is 0.05 x 300 please step by step explanation asap

Answers

First step you would do

0.05 x 300 in a calculator which would equal 15.

0.05x300=15

Helpppppppppppppppppppppppppppp

Answers

Answer:

B

l think correct answer is B )

look at image i need help

Answers

There is non but thx

Please answer this correctly fast!!
Options:
- SSS
- SAS
- ASA
- AAS
- HL
- Not Possible

Answers

Answer:

ASA

Step-by-step explanation:

Angle Side Angle

As two lines are parallel, alternate interior angles are congruent and the side between these angles are common for both triangles

Plssssss helpppp meeeeee

Answers

Answer:

A

Step-by-step explanation:

5-2 = 1/52 = 1/25 = 0.04

A
because it just is .

The Student Council sold the following items at the home football game. A B C D E F 1 Item Number Price Income Cost Per Sold Item 2 lollipops 85 $0.25 $21.25 $0.12 3 Gummies 48 $0.35 $16.80 $0.18 4 Bubble Gum 79 $0.45 $35.55 $0.22 5 Combos 46 $0.55 $25.30 $0.26 $ $ $ 16! DHE $ 6. TOTAL $50.72

If n stands for number sold and c stands for cost per item, in which column would you use the formula: n x c?

A; Column D
B: Column E
C: Column F
D: Column G​

Answers

Answer: D: Column G​

Step-by-step explanation:

If n is the number of items sold and c is the cost per item, multiplying n and c would give the total expenses for selling that item.

As expenses are in column G, this is therefore the right column to use n * c.

This is can be proven by using the Lollipops as an example.

n = 85

c = $0.12

n * c = 85 * 0.12 = $10.20

$10.20 is the amount of expenses for lollipops in Column G so Column G must be right.

If 50⁰& 130⁰ are two adjacent angles then they are from?
A) Pair of alternative angles
B) Linear pair
C) Pair if corresponding angles
D) Pair of vertically opposite angles​

Answers

Answer:

it's B a linear pair

because when you add them they make 180 °

100 students were asked to ll out a form with three survey questions, as follows: H: Honor Roll
C: Club membership (Robotics Club or Gaming Club)
D: Double-major
Survey results were as follows:
28 checked H (possibly non-exclusively), 26 checked C (possibly non-exclusively), 14 checked D (possibly non-exclusively)
8 checked H and C (possibly. non-exclusively), 4 checked H and D (possibly. non- exclusively), 3 checked C and D (possibly. non-exclusively)
And 2 checked all three statements.
1. How many students didn't check any of the boxes?
2. How many students checked exactly two boxes?
3. How many students checked at LEAST two boxes?
4. How many students checked the Clubs box only? [d]

Answers

Answer:

1. 45

2. 9

3. 11

4. 17

Step-by-step explanation:

The computation is shown below:

Given  that

28 checked H

26 checked C

14 checked D

8 checked H and C

4 checked H and D

3 checked C and D

2 checked all.

Based on the above information

N(H)=28

N(C) 26

N(D) 14

N(H∪C) = 8

N(H∪D) = 4

[tex]N(C\cup D)=3[/tex]

[tex]N(H\cup C\cup D)=2[/tex]

We know that

[tex]Total=N(H)+N(C)+N(D)-N(H\cup C)-N(H\cup D)-N(C\cup D)+N(H\cup C\cup D)[/tex]

= 28 + 26 + 14 - 8 - 4 - 3 + 2

= 55

1. The students who didnt check any kind of the box is

= 100 - 55

= 45

2) Students who checked exactly two boxes is

[tex]= N(H\cup C)+N(H\cup D)+N(C\cup D)-3N(H\cup C\cup D)[/tex]

= 8 + 4 + 3 - 6

= 9

3) Students who checked a minimum of two boxes

[tex]= N(H\cup C)+N(H\cup D)+N(C\cup D)-2N(H\cup C\cup D)[/tex]

= 8 + 4 + 3 - 4

= 11

4) Given N(C) = 26

Now we have to deduct N(C∪D) and N(H∪C) as it could be checked aside from the club

= 26 - 8 - 3

= 15

Here the [tex]N(H\cup C\cup D)[/tex] could be deducted twice under both categories so it would be added one time to neutralize

= 15 + 2

= 17

.

.

I WILL MARK BRAINLIEST IN 5 MINUTES!

Answers

Answer:

Non-linear.

Step-by-step explanation:

The rate of change from t1 to t2 is different from the rate of change of t3 to t4 which makes this non-linear.

Is 17/40 closest to 0/40, 20/40, or 40/40?

Answers

Answer:

20/40

Step-by-step explanation:

If you make them decimals, then 17/40 = .43

0/40= .00    20/40 = .50    40/40 =1.00

so .50 is closest to .43.

Please Help!!!! Will Mark Brainliest!!!! Pleaseeee!! 20 Points!!!!

Answers

Answer:

C

C

C

THE MONEY

Step-by-step explanation:

100 Points and Brainliest to whoever helps me!

Answers

I think the answer: 0,6
step-by-step explanation:
this would make it the y intercept.

Answer:

thirsty

Step-by-step explanation:love pionts

I need some help pls:c

Answers

Answer:

The answer is x= 50 and y=50.

Step-by-step explanation:

So a straight line is always equal to 180 degrees. So, to find the length of the inner angle, subtract 100 from 180= 80. Now that you've gotten the value of that angle, you'll have to find x and y. All angles of a  triangle add up to 180 degrees. 180-80= 100. The small dash on both of those lines means they are equal. Do 100/2 = 50. Hope this helps!

What is the amount of nickels in the jar?

Answers

I think the 3 answer

Sally has 6 apples she eats 3 apples how many apples does Sally have left

Answers

Answer:

she has 3 apples left

Step-by-step explanation:

6 apples-3 apples= 3 apples left

uNLeSs thiS is A triCk QueStiOn lol

Which distance measurement is the most precise?

A. 10 kilometers

B. 2.54 centimeters

C. 100 meters

D. 26.3 miles​

Answers

Answer:

B

seems to be the most precise. I don't know what it means by precise but B is the lucky guess

I Need help with 1-5

Answers

Answer:

1)=0

2)

[tex] \frac{ \sqrt{3} }{?2} [/tex]

3)

[tex] \sqrt{3} [/tex]

4)

[tex]2 + \sqrt{3} [/tex]

5) I don't know that one.

6.
5. Add 29 and 35. Draw to show
the regrouping. What is the
sum?
Tens
Ones
la
OOOO

Answers

Answer:

c

Step-by-step explanation:

because i said so

On weekdays , a movie theater charges different rates for adults and children. If 3 adults and 2 children go for a movie on a weekday, the total cost of the tickets is $31. If 2 adults and 3 children go on a weekday the total cost of the tickets is 29$ . If a group of adults and 6 children go to the movie theatre on a weekday and pay $58 for tickets , how many adults are in this group ?

Answers

Solve for "c"::
3a + 2c = 31
3*7+2c = 31
2c = 10
c = 5 (price of a child's ticket)

(2.4 × 10-7 ) ÷ (9.6 × 10-2 )

Answers

17/94 is the answer

could you help me find whqt equivalent to 16x^2/y​

Answers

Answer:

(2xy)⁴/x²y⁵

(4x)²/y

(4x)²y¯¹

Step-by-step explanation:

From the question given above, we obtained:

16x²/y

Thus, we can obtain the equivalent of the above expression as follow:

For Option 1:

(2x)⁴/x²y¯¹ = 2⁴x⁴/x²y¯¹

(2x)⁴/x²y¯¹ = 16x⁴/x²y¯¹

Recall:

1/A¯¹ = A

Therefore,

16x⁴/x²y¯¹ = 16x⁴y/x²

Recall:

Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ

Therefore,

16x⁴y/x² = 16x⁴¯²y = 16x²y

(2x)⁴/x²y¯¹ = 16x²y

Thus, (2x)⁴/x²y¯¹ is not equivalent to 16x²/y

For Option 2:

(2xy)⁴/x²y⁵ = 2⁴x⁴y⁴/x²y⁵

(2xy)⁴/x²y⁵ = 16x⁴y⁴/x²y⁵

Recall:

Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ

16x⁴¯² y⁴¯⁵ = 16x²y¯¹

Recall:

A¯¹ = 1/A

16x²y¯¹ = 16x²/y

(2xy)⁴/x²y⁵ = 16x²/y

Thus, (2xy)⁴/x²y⁵ is equivalent to 16x²/y

For Option 3:

(4x)²/y = 4²x²/y

(4x)²/y = 16x²/y

Thus, (4x)²/y is equivalent to 16x²/y

For Option 4:

(4x)²y¯¹ = 4²x²y¯¹

(4x)²y¯¹ = 16x²y¯¹

Recall:

A¯¹ = 1/A

16x²y¯¹ = 16x²/y

(4x)²y¯¹ = 16x²/y

Thus, (4x)²y¯¹ is equivalent to 16x²/y

For Option 5:

(4x/y)²

Recall:

(A/B)ⁿ = Aⁿ / Bⁿ

(4x/y)² = (4x)²/y²

(4x/y)² = 4²x²/y²

(4x/y)² = 16x²/y²

Thus, (4x/y)² is not equivalent to 16x²/y

SUMMARY:

(2x)⁴/x²y¯¹ is not equivalent to 16x²/y

(2xy)⁴/x²y⁵ is equivalent to 16x²/y

(4x)²/y is equivalent to 16x²/y

(4x)²y¯¹ is equivalent to 16x²/y

(4x/y)² is not equivalent to 16x²/y

100 POINTS AND BRAINLIST

Does anyone know how to do Polygons on the Coordinate Plane

I need your email

Answers

Answer:

You can use the coordinates of a figure to find its dimensions by finding the distance between two points. To find the distance between two points with the same x-coordinates, subtract their y-coordinates. To find the distance between two points with the same y-coordinates, subtract their x-coordinates.

Step-by-step explanation:

What is the ratio 6 to 26 expressed as a fraction is simplest form

Answers

Answer:

I think is it 3/13

Step-by-step explanation:

Hope this helped have an amazing day!

Clare estimates that her brother is 4 feet tall. When they get measured at the doctor’s office, her brother’s height is 4 feet, 2 inches.
1. Should Clare's or the doctor's measurement be considered the actual height? Explain your reasoning.


2. What was the error, expressed in inches? (Hint: 12 inches = 1 foot, so 12 is the unit rate to multiply the number of feet by)
Amount of Error = difference between Actual and estimated guess

3. What was the error, expressed as a percentage of the actual height?

Percent Error = Amount of Error x 100
Actual Measurement
SHOW WORK GIVING BRAINLIEST

Answers

Answer:

1. Yes2. 2 inches3. 4%

Step-by-step explanation:

Estimated height is 4 feetMeasured height is 4 feet 2 inches

1. The measurement is actual and should be considered as such. Estimate is approximate most of the time.

2. The error is:

4 feet 2 inches - 4 feet = 2 inches

3. Percent error:

2 inches/4 feet 2 inches × 100% =2 inches / 50 inches × 100% =0.04× 100% = 4%

simplify the problem:
-4/5+3/10

Answers

Answer:

-1/2

Lcd=10

-4x2/5x2+3/10

​10

​8

​​ +

​10

​3

​​

−8+3/10

-5/10

-1/2

​​

Which of the following graphs represent a function?

A: Graph A and Graph C
B: Graph A
C: Graph D
D: Graph B and Graph D​

Answers

Answer:

A

Step-by-step explanation:

in function graphs if you would draw a line down what shape or line it can only touch it once.

What is the sum of the fractions?

Answers

Answer:

It is 6/7 because the denometere is sMe

A textbook costs $65.49 before tax. The tax on the textbook is 6.5%.

What is the total cost of the textbook?

Round your answer to the nearest cent.

Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

the tax will cost

65.49*6.5=4.26

the total price of the book is

65.49+4.26=69.75

Answer:

70.74

Step-by-step explanation:

took the test (im in k-12) btw

Test Practice When Xavier buys his lunch, he saves the nickel
gets as change. How much money will Xavier have if he buys his
lunch 4 times one week and 2 times the second week?

Answers

Understanding:

First of all, each time Xavier buys lunch he saves a nickel. That means if he buys lunch twice, he is saving 2 nickels, buys 3 times he saves 3 nickels, and so on. To solve this problem we can simply add the times he bought lunch and that will equal the value of nickles he saved so far.

Solution:

First-week savings = 4 nickels

Second-week savings = 2 nickels

Simply, adding those together gives us 6 nickels.

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