MATHEMATICS HIGH SCHOOL

The combined area of two sqaures is 45 sqaure centimeters. Each side of one sqaure is twice as long as a side of the other sqaure.What is the length of each side of the larger square

Answers

Answer 1

Answer:

Answer:the length of each side of the larger square is 6 centimeters.

Step-by-step explanation:

Let x represent the length of each side of the small square.

Let y represent the length of each side of the Large square.

The area of the small square is x^2

The area of the large square is y^2

The combined area of two squares is 45 square centimeters. This means that

x^2 + y^2 = 45 - - - - - - - - - - -1

Each side of one square is twice as long as a side of the other square. This means that

y = 2x

Substituting y = 2x into equation 1, it becomes

x^2 + (2x)^2 = 45

x^2 + 4x^2 = 45

5x^2 = 45

x^2 = 45/5 = 9

x = √9 = 3

Substituting x = 3 into y = 2x, it becomes

y = 2 × 3 = 6 centimeters

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Marc is looking at the plans for his new garage. the length of the garage is 8 metres. the scale on the drawing is 1:50. what will the length of the garage be on the drawing?
Which expression has an equivalent value to x2 + 9x + 8 for all values of x? a. (x + 1)(x + 8) b. (x + 2)(x + 6) c/ (x + 4)(x + 4) d. (x + 5)(x + 4)
The sum of three consecutive multiples of 7 is 777 find these multiples
One term of (x+y)^m is 31,824x^18y^11What is the value of m ?

I don't get this question

Answers

Answer:

1/4

Step-by-step explanation:

Use the equation of a line from 2 points.

Which value of K will make x^2-1/4x+k a perfect square trinomial?

Answers

For this case we have the following polynomial:
$x^2 - (1)/(4)x + k$
We suppose that we have a standard equation of the form:
$ax ^ 2 + bx + c$
To make a perfect square trinomial, we need to complete the square.
Therefore, the value of c is:
$c = ((b)/(2))^2$
Using this definition for this case, we have:
$k = (((-1)/(4))/(2))^2$
$k= ( (-1)/(8) )^2$
$k = (1)/(64)$
Therefore, the perfect square trinomial is:
$x^2 - (1)/(4)x + (1)/(64)$
Answer:
The value of k is:
$k = (1)/(64)$

1/64, because (-1/4)/2 is -1/8, and -1/8 ^2 is 1/64

What is the quotient of 22 and 7?
Is it 22/7 or 7/22? (division)

Answers

The quotient of 22 and 7 (22/7) would be 3 R 1

In a bakery that sells cookies there are 4 oatmeal cookies for every 11 chocolate cookies.If there are 285 cookies altogether how many oatmeal cookies are there?

Answers

Answer:

There are 76 oatmeal raisen cookies altogether.

Step-by-step explanation:

4 + 11 = 15

285/15 = 19

19 * 4 = 76

The combined area of two squares is 45 square centimeters. Each side of one square is twice as long as a side of the other square. What is the length of each side of the larger square?

Answers

a - side of the square
a₁ - arm the small square
a₂ - larger side of the square
2a₁ = a₂ we put into the equation 2
(a₁)² + (a₂)² = 45cm²

2a₁ = a₂
(a₁)² + (2a₁)² = 45cm²
(a₁)² + 4(a₁)² = 45cm²
5(a₁)² = 45cm²
(a₁)² = 9cm²
a₁ = √(9cm²) = 3cm
a₂ = 2a₁ = 2*3cm = 6cm
A₁ = (a₁)² = (3cm)² = 9cm²
A₂ = (a₂)² = (6cm)² = 36cm²
A₁ + A₂ = 9cm² + 36cm² = 45cm²

The length of a rectangle is 5 more than twice the width. if the perimeter of the rectangle is 76 meters, find the dimensions of the rectangle and choose the equation that represents the perimeter:1. 76=2w+5
2. 76=2w+2(2w+5)
3. 76=w+2w+5
4. 76=2w+(2w+5)

Answers

Answer:

Dimensions: 11 meters by 27 meters

2. $76=2w+2(2w+5)$

Step-by-step explanation:

Finding Dimensions:

The perimeter of a rectangle can be written as $2l+2w$ where $l$ is the length and $w$ is the width. It is given that the length is 5 more than twice the length of width and the perimeter of the rectangle is 76 meters.