Mathematics College

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


If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

-5 -5
-3 -5
-5 -3
-3 3

Answers

Answer:

(-3,-5) .............................

In a multiple choice test, a candidate gets 3 marks for a correct answer and one mark is deducted for an incorrect answer. If Ayobi answers all 30 questions and scores 30 marks, how many questions did
she get wrong?

Reason too

Answers

Answer:

30/3 = 10

Step-by-step explanation:

Divide 30 by 3 to get your answer which is going to be 10

30 ÷ 3= 10

Since you get 3 marks each answer. You will divide 30 by 3. Which is 10.

In a figure, D and E are points on side BC of a△ ABC such that BD = CE and AD = AE. Show that △ABD ≅ △ACE ​

Answers

Step-by-step explanation:

AD=AE

BD=EC

D=E

....ABD=ACE

write 1234 base 5 in powers of 5.​

Answers

Answer:

Step-by-step explanation:

613 = 4x125 + 113 = 4x53 + 113

Hence the first digit (reading left to right) is a 4.

The remainder is 113 so how many 25's are there in 113?

113/25 = 4 with a remainder of 13

Thus

613 = 4x125 + 4x25 + 13 = 4x53 + 4x52 + 13

Hence the second digit (reading left to right) is also a 4.

The remainder is 13 so how many 5's are there in 13?

13/5 = 2 with a remainder of 3

Thus

613 = 4x125 + 4x25 + 2x5 + 3 = 4x53 + 4x52 + 2x5 + 3

Hence the third digit (reading left to right) is a 2 and the units digit is 3. Therefore

613 written in base 5 is 4423

example

What is the slope of 3x+4y=−2?

Answers

Answer:

[tex]3x + 4y = - 2 \\ 4y = - 3x - 2) \div 4 \\ y = - \frac{3}{4} x - \frac{1}{2} \\ \boxed{ m = - \frac{3}{4}}[/tex]

or the 7:30 show time, 140 movie tickets were sold. Receipts from the $13 adult tickets and the $10 senior tickets totaled $1,664. How many adult tickets and how many senior tickets were sold?

Answers

Answer:

adult tickets x=88  and senior tickets y=52

Step-by-step explanation:We can take adult ticket as x and senior ticket as y.

Now we will form two equations

x + y = 140

13x + 10y = 1664

This system of equations we will solve using Gaussian algorithm (gradual elimination of the variables)  

We will multiply first equation with (-10) and get

-10x-10y=-1400 Than we will add to second equation and get

3x=264 => x=264/3=88 => x=88

Now we will replace x in the first equation before multiplying and get

88+ =140 => y= 140-88= 52 => y=52

adult tickets x=88  and senior tickets y=52

Good luck!!!

What is the midpoint of CD?

Answers

Answer:

The endpoints of the line segment CD are:

$$C=(x_1,y_1)= (-4, 8) \\ D= (x_2,y_2)= (8, -4) $$

We find the midpoint using th

Reniel is 13 years old. He is two years younger than his brother, Gelo. If Gelo is five times older than their sister, how old is their sister?​

Answers

sister is 3

13+2=15
15/5=3

solve the equation 3/4x-5=x
give your answers correct to 2 decimal places

Answers

Given :

3/4x - 5 = x

To find :-

The value of x .

Solution :-

Taking the given equation ,

3/4x - 5 = x x - 3/4x = -5 4x - 3x /4 = -5x/4 = -5x = -5*4x = -20

The temperature dropped 3 °F every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?

Answers

-12 I hope this help

Answer:

18 °F

Step-by-step explanation:

Simply multiply 3 and 6

One hour is 3 °F

Two hours is 6 °F

Three hours is 9 °F

Four hours is 12 °F

Five hours is 15 °F

Six hours is 18°F

please help me with this sum​

Answers

Step-by-step explanation:

2667

1884

1953

782

2046

3105

8559

5368

963

3367

Answer:

381 x 7 = 2667

471 x 4 = 1884

651 x 3 = 1971

391 x 3 = 1173

341 x 6 = 2046

Hope its help full

I don't get it please help and show me how to do it

Answers

Answer:

Step-by-step explanation:

You plug in the given values and compute s:

s = ut + 1/2 at^2

s  = 10*1/2 + 1/2*-2*(1/2)^2

= 5 + -1*1/4

= 4 3/4.

I'm thinking of 2 numbers. Both numbers have the same absolute value. What number must be true about the 2 numbers?

Answers

Answer: they have the same number in them for example -4 and 4

Step-by-step explanation:

I NEED HELP WITH THIS PLSSS

Answers

Answer:

B

Step-by-step explanation:

I'm just hungrey ahhaahhaahhahahahahahahahahahahhahahahahahahahahahhahahahahagahaha

where is the circumvented of a right isoceles triangle located

Answers

Answer:

The circumcenter of triangle can be found out as the intersection of the perpendicular bisectors (i.e., the lines that are at right angles to the midpoint of each side) of all sides of the triangle. This means that the perpendicular bisectors of the triangle are concurrent (i.e. meeting at one point).

Step-by-step explanation:

I hope that helps you and the explanation is in this answer too

Please help! Will give brainliest if the answer is correct

Answers

Answer:

18+18√3

Step-by-step explanation:

We know that ,

Perimeter = 2(l + b)

On substituting ,

P = 2 ( l + b ) P = 2 ( 2 + 5√3 + 7 + 4√3 ) P = 2 ( 9 + √3(5+4)) P = 2 ( 9 + 9√3) P = 18 + 18√3

F(x)=-(-1)^2+ 2(-1)-1

Answers

Answer:

f(x)=-4

I recommend this math site that could help you with these kind of problems

M

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Step-by-step explanation:

Simplify 5-(6a-3b-8)

Answers

It would be 13-6a+3b

Answer:

Step-by-step explanation:

5- (6a-3b-8)        BODMAS

-30a-15b-40

Which of the following is the balance for a single $2,702 deposit in an account with an APR of 3% that compounds interest monthly and is invested for 37 years?

Answers

Answer:

the answer should be 6 if i am not wrong

Step-by-step explanation:

In biology, cell theory is a scientific theory first formulated in the mid-nineteenth century. It has three tenets:
1. Living organisms are made up of cells.
2. Cells are the basic structural/organizational unit of all organisms.
3. All cells come from pre-existing cells.
What technology had the greatest impact on cell theory?

Answers

Step-by-step explanation:

The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells. This shows that advancements in technology has paralleled the understanding and knowledge we have about these cells.

The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells

What is cell theory?

In biology, cell theory is a scientific theory first formulated in the mid-nineteenth century, that living organisms are made up of cells, that they are the basic structural/organizational unit of all organisms, and that all cells come from pre-existing cells.

Cells are the basic unit of structure in all organisms and also the basic unit of reproduction.

The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells.

This shows that advancements in technology has paralleled the understanding and knowledge we have about these cells.

To know more about cell theory follow

https://brainly.com/question/1594446

Draw a Graph y=3/2x+2

Answers

The answer is in the graph.

Answer:in the picture

Step-by-step explanation:

please give me a brainliest answer

. . .Factor 2x2 + x - 1

Answers

Answer:

(2−1)(+1)

Step-by-step explanation:

22+−12x^{2}+{\color{#c92786}{x}}-12x2+x−122+2−−1

Help needed. 5x+8 6x+8 and 82 ……..

Answers

Answer:

x=6

Step-by-step explanation:

a triangle is 180º total

a line is also 180º total

180-82=98

5x+8+6x+8+98=180

11x+114=180

11x=66

x=6

solve pls brainliest

Answers

2 4/9 hope this is right

Answer:

2 4/9

Step-by-step explanation:

1. To change an improper fraction to a mixed number, divide the numerator by the denominator. Then, write down the quotient as the whole number and the remainder (left over amount) as the numerator. Remember to NOT change the denominator.

2. Given the information above:

22 ÷ 9 = 2 R 4 2 4/9

Therefore, 22/9 as a mixed number is 2 4/9.

If you answer this question correctly I will give brainliest

Answers

Answer:

Final point:

(18,35)

Step-by-step explanation:

This is because the x=intercepts are increasing at a constant rate of 10.

Hope this helps :)

Choose all options that apply. In the US Customary System, which of the following terms is used to measure volume? a) Cup b) Tablespoon c) Liter d) Fluid ounce

Regular consumption of presweetened cereals contributes to tooth decay, heart disease, and other degenerative diseases, according to studies conducted by Dr. W. H. Bowen of the National Institute of Health and Dr. J. Yudben, Professor of Nutrition and Dietetics at the University of London. In a random sample consisting of 20 similar single servings of Alpha-Bits, the average sugar content was 11.3 grams with a standard deviation of 2.45 grams. Assuming that the sugar contents are normally distributed, construct a 95% confidence interval for the mean sugar content for single servings of Alpha-Bits.

Answers

Using the t-distribution, the 95% confidence interval for the mean sugar content for single servings of Alpha-Bits is (10.15, 12.45).

In this problem, we have that:

Sample of 20, thus [tex]n = 20[/tex].Sample mean of 11.3 grams, thus [tex]\overline{x} = 11.3[/tex].Sample standard deviation of 2.45 grams, thus [tex]s = 2.45[/tex].

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

First, we find the number of degrees of freedom, which is one less than the sample size, thus df = 19.

Now, we have to find the critical value for a 95% confidence interval with 19 df, thus, looking at the t-table or using a calculator, t = 2.093.

Then:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 11.3 - 2.093\frac{2.45}{\sqrt{20}} = 10.15[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 11.3 + 2.093\frac{2.45}{\sqrt{20}} = 12.45[/tex]

The interval is (10.15, 12.45).

A similar problem is given at https://brainly.com/question/24232455

Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a Joker, the casino logo, and various dollar amounts, as shown in the table at the top of the next column. Players may bet on the Joker, the casino logo, or one or more dollar denominations. The wheel is spun and if the wheel stops on the same place as the player's bet, the player wins that amount for each dollar bet.
If a player bets $2 on the $5 denomination, find the player's expectation. (Round your answer to two decimal places.)

Answers

Creating a discrete probability distribution table based on the possible outcomes of the game. The player's expectation is $8.44

Player's bet number = $5 Bet amount = $2

Winning = $2 × $5 = $10

Probability that wheel stops on $5:

Probability = required outcome / Total possible outcomes

P(stops on $5) = 7/54 =

Hence, probability of not winning = 1 - 7/54 = 47/54

X :____ - 2 _____ 10

P(X) : _ 47/54 ___ 7/54

Expectation or Expected value :

E(X) = (-2 × 7/54) + (10 × 47/54)

E(X) = $8.44

Therefore, the player's expectation is $8.44

Learn more :https://brainly.com/question/25291774

solve log2 base x + log4 base x + log8 base x = 12 ?​

Answers

Answer:

Step-by-step explanation:

It was -12 degrees Fahrenheit last night. The weatherman predicts that it will be 25 degrees warmer by noon. What will the temperature be by noon?

Answers

Answer:

-12 + 25 = 13 degrees

Step-by-step explanation:

Since it was -12 degrees you have to add the 25 degrees since it would be warmer.

Answer:

13 degrees Fahrenheit

Step-by-step explanation:

What is the unit rate of 124 pages and 2 hours

Answers

Answer:

62 pages per hour.

Step-by-step explanation:

Divide 124  ÷ 2.

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