Solve the equation to find a positive value of c:
62 + 82 = c2
(20 points)

Solve The Equation To Find A Positive Value Of C:62 + 82 = C2(20 Points)

Answers

Answer 1

Answer:

The equation has 2 solutions

c = -12

c = 12

Step-by-step explanation:

Swap the sides

c² = 62 = 82

Simplify the equation

c² = 144

separate the solutions

c = ± 12

Solution

c = -12

c = 12


Related Questions

La barbería El Caleño, tiene en promedio 120 clientes a la semana a
un costo actual de $6000 por corte de cabello. Se sabe que por cada incremento
de $700 en el precio, la peluquería pierde 10 clientes. ¿Cuál es el precio máximo
que puede cobrarse de modo que los ingresos semanales no sean menores que los
actuales?

Answers

Queremos maximizar el precio de tal forma que los ingresos no disminuyan.

Ese maximo precio es: $14,040.6

Sabemos que actualmente el precio es:

p = $6,000

El número de clientes es:

C = 120

Actualmente los ingresos son el producto de esos dos números, es decir:

ingresos = $6,000*120 = $720,000

Ahora sabemos que por cada incremento de $700 en el precio, el número de clientes decrece en 10.

Entonces podemos escribir el número de clientes como una ecuación lineal.

C(p) = a*p + b

tal que tenemos dos puntos en esa linea:

($6,000, 120)

($6,700, 110)

La pendiente es:

[tex]a = \frac{110 - 120}{\$6,700 - \$6,000} = \frac{-10}{\$ 700}[/tex]

Entonces tenemos:

C(p) = (-10/$700)*p + b

Sabemos que:

C($6,000) = 120 = (-10/$700)*$6,000 + b

                     120 = -85.71 + b

                     120 + 85.71 = b =

Entonces la ecuación lineal es:

C(p) = (-10/$700)*p + 205.71

Los ingresos serán dados por:

ingresos = C(p)*p = (-10/$700)*p^2 + 205.71*p

Y queremos maximizar p de tal forma que esto sea igual a lo que obtuvimos antes:

(-10/$700)*p^2 + 205.71*p = $720,000

Entonces debemos resolver la ecuación cuadratica:

(-10/$700)*p^2 + 205.71*p - $720,000 = 0.

Las soluciones son dadas por la formula de Bhaskara.

[tex]p = \frac{-205.71 \pm \sqrt{(205.71)^2 - 4*(-10/\$ 700)*\$ 720,000} }{2*(-10/\$ 700)} \\\\p = \frac{-205.71 \pm 195.45}{(-20/\$ 700)}[/tex]

La solución de maximo valor es:

p = (-205.71 - 195.45)/(-20/$700) = $14,040.6

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Answers

Answer:

C

A

C

Step-by-step explanation:

what equation is perpendicular to the equation 4y=x-36

Answers

Answer:

y=6 and x=9

Step-by-step explanation:

Ur dad left you IMAO go look for your dad

cuantos paquetes de 5/8 de kilo harán falta para envasar 125 kilos de harina

Answers

Step-by-step explanation:

dcfhhjjvcdddfhjkhfsazgjhsswrup07532490ojdhj

it’s for i ready. please help

Answers

Answer:

6, 12, 18, 24, 30, 36, 42, 48, 54 (the bolded numbers go in the box)

Step-by-step explanation:

1. To find the multiples of 6 between 6 and 54, we have to multiply 6 by numbers from 1 to 9.

6 × 1 = 66 × 2 = 126 × 3 = 186 × 4 = 246 × 5 = 30 6 × 6 = 36 6 × 7 = 426 × 8 = 48 6 × 9 = 54

Therefore, the multiples of 6 between 6 and 54 are 6, 12, 18, 24, 30, 36, 42, 48, 54. (again, the bolded numbers go in the boxes)

Please help me, this is due in 2 hours and I need this done plz.

Answers

Answer:

It's probably it

Step-by-step explanation:

A = (-4, -2)

B = (1, 6)

Imagine a new point (C) where they intersect (1, -2)

Now we can form a triangle, the distance between A and B will be the hypotenuse.

h² = 5² + 8²

h² = 25 + 64

h² = 89

h = [tex]\sqrt{89}[/tex]

h = ~9.43...

h = 9

I need the answer and a step by step

Answers

Answer:

hii

Step-by-step explanation:

plzz see attachment

hope it helps u

plz mark as brainliest

Find the x-coordinate where the graph of the function f of x equals e raised to the power of negative 1 times x squared has a slope of 0.

0
negative square root of 2
the square root of 2
the square root of 2 over 2

Answers

Answer:

The square root of 2 over 2

Step-by-step explanation:

Plz help I need help

Answers

They are proportional

16. A craft shop sold 150 pillows. Small pillows were $6.50 each and large pillows were $9.00 each. If the total amount collected from the sale of these items was $1180.00, what is the total number of each size pillow that was
sold?

Answers

Answer:

82 large pillows, 68 small pillows

Step-by-step explanation:

Suppose all pillows sold were small pillows:

150×$6.50=$975

$1180-$975=$205

$9-$6.50=$2.50

$205÷$2.50=82 (no of large pillows sold)

No. of small pillows sold

=150-82

=68

FAAASSSTTT II HAAVVEE 3 minutes

Answers

Answer:

A. 16 March

Step-by-step explanation:

1) f`(x)=-0.028x+0.448;

2) f`(x)=0, then -0.028x+0.448=0, then

3) x=16 is {max}.

4) answer March 16th.

(I NEED THE ANSWER FAST PLS) Explain how to use place value and the distributive property to find the product of 828 and 9. (also, please do not give the edge sample answer)

Answers

Answer:

7452

Step-by-step explanation:

Answer:

Sample Response: First, write 828 as a sum of 800 + 20 + 8. Next, multiply each number by 9. Add the products to get 7,452.

Step-by-step explanation: edge 2021

Choose the numbers to find the product shown by the model.

-

0.5 x ? = ?


Answers: (this one is for what it was multiplied by)



A) 0.01

B) 0.1

C) 1

D) 10


Answers to the question:


E) 0.005

F) 0.05

G)0.5

H)5

Answers

Answer: A  F D G

Step-by-step explanation:

Help me or I will steal your caprisun.

Answers

Answer:

C and D

Step-by-step explanation:

A. Incorrect as the directions are not opposite.B. Incorrect as - 40 - 10 = -50 m ≠ 0.C. Correct as the same amount is added and subtracted, resulting in zero.D. Correct as protons and electrons have opposite charges, their sum is neutral.

What is the slope of the line shown on the grid?

Answers

2/3 is the answer

the rise is 10
and the slope is 9
simplified it’ll be 2/3

A toy store marks down all of its items by 15%. If a package of pokemon cards costs $4.99, what is the new price with the markdown? Round to the nearest cent

Answers

Answer:

$4.24

Step-by-step explanation:

100%-15%=85%

85/100x4.99=4.2415

4.2415 rounded off to nearest cent =4.24

Hope this helps! Thanks.

Tickets for a school concert were priced at $7 for students and $9 for non-students. There were twice as many student tickets sold as non-student tickets for a total of $3,220.

Answers

Answer:

number of non students=140, students=280

Step-by-step explanation:

let non students be x.

so according to condition, non students=x*9

students=2x*7

now,

2x*7+x*9=3220

so, x=140

1.Which of the following is equivalent to 0.00451


Second question. Which of the following is equivalent to 6.32 x 10-*3?

Answers

Answer:

1)[tex]4.51[/tex]×[tex]10^-3[/tex]

2) .00632

Step-by-step explanation:

1.Which of the following is equivalent to 0.00451?

= [tex]\frac{451}{100000}[/tex]

=[tex]\frac{4.51}{1000}[/tex]

=[tex]\frac{4.51}{10^3}[/tex]

= [tex]4.51[/tex]×[tex]10^-3[/tex]

Therefore the answer is (a)

===================================================================

Which of the following is equivalent to 6.32 x 10-*3?

In order to find the answer to this question you can just put the notation into standard form which means they will be equivalent to each other.

The exponent is negative so you move to the left:

[tex]6.32=.00632[/tex]

=[tex].00632[/tex]

Therefore 6.32*10^-3 is equivalent too (c) .00632

Please show steps please

Answers

Answer:

x - 2, remainder -4

or

x - 2 + (-4)/(x + 6)

Step-by-step explanation:

                           x - 2

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

           x + 6   |  x^2 + 4x - 16

                 -       x^2 + 6x

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

                                -2x - 16

                         -      -2x - 12

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

                                          -4

Answer:

x - 2, remainder -4

or

x - 2 - 4/(x + 6)

Answer:

x - 2

Step-by-step explanation:

I uploaded a photo!

Pls help on this khan a. homework

Answers

Answer

The answer is C

Explanation:

1.2 divided by 4 = 0.3

2.4 divided by 8 = 0.3

3.9 divided by 13 = 0.3

**hope this helps.... brainly please if possible

4/8 x 4/5 = ? Help me please

Answers

hope it helps...................

[tex] \frac{4}{8} \times \frac{4}{5} [/tex]

Simplify:

[tex] \frac{4}{2} \times \frac{1}{5} [/tex]

[tex] \frac{4}{10} = \frac{2}{5} [/tex]

What graph represents a function with a growth factor of 5?

Answers

Answer:

The answer should be C!

Step-by-step explanation:

When you multiply the y value 0.04 and 5 it comes out as 0.02.

The diagram shows rays of light from a point source, P, that reach a detector, D, along two paths. One path is a straight line, while the other is bent by reflection off a mirror. What is the value of b, correct to one decimal place? Assume that all the points in the diagram lie in the same plane.

Answers

This can solved using the cosine law which is:

c² = a² + b² - 2ab cos θ

Using the values given from the problem

6² = b² + b² - 2bb cos 112.62

And solving for b

36 = 2b² - 2b² cos 112.62

b = 3.6

The answer is the 3rd option.

Answer:

b = 3.6

Step-by-step explanation:

Evaluate the expression when a=1- and c =4

a+9c=

Answers

Answer:

35

Step-by-step explanation:

1-9(4)

1-36

th LEARNING TASK & Equation FIND THE THE EQUATION OF THE LINE, WRITE STANDARD FORM. THE SLOPE is 5 passing through (-1,4).​

Answers

Step-by-step explanation:

to find the equation of a line having the slope use this formula:

[tex]y - yp = m(x - xp)[/tex]

in which:

- yp is the y of the point (so 4);

- m is the slope (so 5);

- xp is the x of the point (so -1)

so:

[tex]y - 4 = 5(x - ( - 1))[/tex]

[tex]y - 4 = 5x + 5[/tex]

[tex]y=5x + 5 + 4[/tex]

[tex]y = 5x + 9[/tex]

The degree of the polynomial function f(x) is 4.The roots of the equation f(x)=0 are −6, −2, 1, and 3.Which graph could be the graph of f(x)?

Answers

It’s a s 7.47 because of the five and six

Divide. Give the quotient and remainder. 5429 divide by 3

Answers

Answer:

quotient = 1809

remainder = 2

Step-by-step explanation:

Let me know if i'm right

Please help with this question! (Brainliest)

Answers

Answer: -45j -9k

Step-by-step explanation:

Answer:

-45j - 9k

Step-by-step explanation:

[tex] - 9 \: \: . \: \: (5j + k) \\ - 9(5j) -9(k) \\ - 45j - 9k \\ [/tex]

It took 35 seconds for 5 songs to download to Rebecca’s computer. The next day, it took 42 seconds for 6 songs to download. Write an equation in point-slope form to represent the time y it took to download x songs.

NEEDS TO BE STEP BY STEP

Answers

The equation in point-slope form to represent the time y it took to download x songs is; (y - 35) = 7(x - 5)

Since it took 35 seconds for 5 songs to download

and it took 42 seconds for 6 songs to download

In essence, we can represent the information as;

(5, 35) and (6,42)

To find the slope of the equation; we have;

Slope, m = (42-35)/(6-5)

m = 7

In essence, the equation in point-slope form to represent the time y it took to download x songs is;

(y - 35) = 7(x - 5)

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if tiles cost $1.15 per square feet , how much would cost to tile aa rectangular room that is 13 feet by 15 feet ?

Answers

Answer:

224.25

Step-by-step explanation:

13x15x1.15

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