Determine whether the equation represent y as a function of x. 2x+3y=4

Problem 4:

Kipish [7]

Answer:

12cm and 16cm

Step-by-step explanation:

The hypotenuse of the right angle triangle = 20cm

let the other two sides be x and y;

The difference;

x = y - 4

Problem:

Find x and y;

Solution:

According to the pythagoras theorem;

x² + y² = 20² ------ i

x² + y² = 400 ----- i

and x - y = 4 ---- ii

So; x = 4 + y

Now input the value into equation (i);

(y + 4)² + y² = 400

(y+4)(y+4) + y² = 400

y² + y² + 4y + 4y + 16 = 400

2y² + 8y + 16 = 400

2y² + 8y + 16 -400 = 0

2y² + 8y - 384 = 0;

y² + 4y - 192 = 0

Factorize the equation;

y² + 16y - 12y - 192 = 0

y(y + 16) - 12(y + 16) = 0

(y-12)(y + 16) = 0

y -12 = 0 or y+ 16 = 0

y = 12 or -16

It is not realistic for the length of a body to be a negative value, so y= 12;

since;

x - y = 4,

x = 4 + 12

x = 16

5 0

4 years ago

HELP “Translate the following statement in algebraic expressions.”

Elanso [62]

Answer:

Step-by-step explanation:

It is translated exactly as you would read it. 4*y - 7

8 0

4 years ago

Giving brainlyist to the first person who gets a complete and correct answer.

Andreas93 [3]

Answer:

(Option B

(Option C

Step-by-step explanation:

Concept:

We will start by explaining each option one after the other

Step 1:

The sum of two odd numbers

Let the first odd number be

$2a+1$

Let the second odd number be

$2B+1$

By adding the two numbers, we will have

$2a+1+2B+1=2(a+B)+2$

Hence,

The sum of two odd numbers is even

Step 2:

The difference of two odd number

Let the first odd number be

$2a+1$

Let the second odd number be

$2B+1$

To find their difference, we will have

$2a+1-(2B+1)=2a+1-2B-1$

$=2a-2B$

Hence,

The difference between two odd numbers is even

Step 3:

Let the first even number be

$2a$

Let the second odd number be

$2B+1$

By adding the two numbers, we will have

$2a+2B+1$

Hence,

The sum of an odd number and an even number is odd

Step 4:

The difference between an odd number and an even number

Let the first even number be

$2a$

Let the second odd number be

$2B+1$

Hence,

The difference will be

$2a-(2B+1)$

$2a-2B-1$

Hence,

The difference between an odd number and an even number is odd

Therefore,

The correct answers are OPTION B and OPTION C

-Good Luck with your Assignment!

-Thanks for choosing Brainly!

5 0

3 years ago

Read 2 more answers

If you work full time (40 hours a week) at a job earning $11.00 an hour, using the quick trick I showed you, about how much woul

konstantin123 [22]

Answer:

$22,880

Step-by-step explanation:

40 (hours a week) * 52 (weeks in a year) = 2,080

2080 * 11 (dollars an hour) = 22,880

So unless I a messing up somewhere I think it is $22,880 :)

3 0

3 years ago

If 1/10 of the movies at a video rental store are children's movies and 2/3of those movies are animated, what portion of the mov

kenny6666 [7]

$\frac{1}{15}$ of the movies at the video rental store are animated children's movies.

Step-by-step explanation:

Given,

Fraction of children's movies at the rental store = $\frac{1}{10}$

Fraction of animated movies = $\frac{2}{3}$ of children's movies

Fraction of animated movies = $\frac{2}{3}*\frac{1}{10}$

Fraction of animated movies = $\frac{1}{15}$

$\frac{1}{15}$ of the movies at the video rental store are animated children's movies.

Keywords: fraction, multiplication

Learn more about fractions at:

#LearnwithBrainly

8 0

4 years ago