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3 years ago

How to solve X + y = 2 X - y = 4

1 answer:

5 0

So y+x=2
x-y=4
one way is subsituteion where yousubisutte one of the number for another exg

x-y=4
add y to both sides
x=y+4
subsitute y+4 for x in x+y=2
y+4+y=2
2y+4=2
subtract 4 from both sides
2y=-2
divide both sides by 2
y=-1
subsiutte
x+y=2
x-1=2
x=3

or elimination

x+y=2
x-y=4
add the two equations and cancel the y terms

x+x+y-y=2+4
2x=6
divide both sides by 2
x==3
subsitute
x+y=2
3+y=2
y=-1

so x=3
y=-1

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The combined area of two squares is 80 square centimeters. Each side of one square is twice as long as a side of the other squar

olganol [36]

Answer:

The length of each side of the larger square is 8 centimeter.

Step-by-step explanation:

Given:

The combined area of two squares is 80 square centimeters. Each side of one square is twice as long as a side of the other square.

Now, to find the length of each side of the larger square.

Let $s$ be the length of the smaller square.

So, the length of the larger square = $2s.$

Now, we find the areas of the square by putting formula:

The area of smaller square = length² $=s^2.$

The area of larger square = (length)² $=(2s)^2=4s^2.$

As, given:

The combined area of two squares is 80 square centimeters.

According to question:

$s^2+4s^2=80\\5s^2=80$

So, dividing both sides by 5 we get:

$s^2=16$

Using square root on both sides we get:

$s=4\ centimeter.$

And, to get the length of each side of the larger square we substitute the value of $s$ :

$2s=2\times 4=8\ centimeter.$

The length of larger square = 8 centimeter

Therefore, the length of each side of the larger square is 8 centimeter.

8 0

3 years ago

The earth travels arounf sun in 31,557,936 seconds . Give the digit in each placed named.

Masteriza [31]

From right to left: ones tens hundreds thousands ten thousand one hundred thousand and that is all I know

7 0

3 years ago

Evaluate the piecewise function for the given values.

adoni [48]

Answer:

f(-3) = -2

f(-2.6) = -2

f(0.6) = 2.4

f(4.5) = 8.5

Step-by-step explanation:

(Whole question:

Evaluate the piecewise function for the given values.

Find f(-3), f(-2,6), f(0.6), and f(4.5) for f(x)={ -2 If x ≤ 0 4x. If 0 <x <1. x + 4. If x ≥ 1)

As the piecewise function shows, the function f(x) has the value of -2 for values of x lesser or equal than 0, has the value of 4x if the value of x is between 0 and 1, and has the value of x+4 for values of x greater or equal than 1.

So, for f(-3), the value of x is lesser than 0, so we have that f(-3) = -2

For f(-2.6), the value of x is lesser than 0, so we have that f(-3) = -2

For f(0.6), the value of x is between 0 and 1, so we have that f(0.6) = 4*0.6 = 2.4

For f(4.5), the value of x is greater than 1, so we have that f(4.5) = 4.5 + 4 = 8.5

5 0

3 years ago

I need help with question 3 and 4

katrin2010 [14]

Question 3. You divide 5 1/4 by 3/4 then multiply that by 20.
The answer is 140

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4 years ago

What is the inverse of the function f(x) =1/2 x + 2?

Sophie [7]

(F^(-1))x = 2x-4. Or y=2x-4

1. Switch the x and the y
2. Solve for y in the new equation
3. Change the y to inverse function of x.

3 0

3 years ago