MATHEMATICS HIGH SCHOOL

The area of the parallelogram is 56 square miles. Find its base and height.height= x-5
base= x+5

Answers

Answer 1
Answer:

The height of the parallelogram is 4 miles and the base is 14 miles.

What is the area of a parallelogram?

The area of a parallelogram is the product of the base and the height of the figure.

The area of a parallelogram = Base x Height

We have been given that the height is x-5, the base is x+5, and the area of the figure is 56 square miles.

So,

The area of a parallelogram = Base x Height

56=(x-5)(x+5)

Now Multiply x-5 and x+5

56=x²-25

Then Add 25 to both sides

81=x²

Now Take the square root of both sides

x=9

Now We can substitute it into the height and base thus,

Height: 9-5

Base=9+5

Therefore, the height of the parallelogram is 4 miles and the base is 14 miles.

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Answer 2
Answer: The area of a parallelogram is A=bh. We are given that the height is x-5, the base is x+5 and that the area of the figure is 56 square miles. So,

56=(x-5)(x+5)
Multiply x-5 and x+5
56=x²-25
Add 25 to both sides
81=x²
Take the square root of both sides
x=9

With the value of x, we can substitute it into the height and base so,

Height:9-5
Base=9+5

So, the height is 4miles and the base is 14 miles.
We can check the answer by using the formula of the area of a parallelogram. 
A=bh
56=4*14
56=56

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In one week, a family spent $132.19 for groceries. they spent $150.06 the next week. if c represents the increase in their grocery bill from one week to the next, what is c? a. $17.87
b. $27.87
c. $28.97
d. $282.25

Answers

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the answer is a.
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One-sixth of a number is 66

Answers

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(1/6) × 6 = 66 × 6
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Write a simplified polynomial expression in standard form to represent the area of the rectangle below.A picture of a rectangle is shown with one side labeled as 5 x plus 2 and another side labeled as x minus 4.

5x2 + 18x − 2

5x2 + 13x + 2

5x2 − 18x − 8

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Answers

Given:
Rectangle shape.
One side: 5x + 2
other side: x - 4

Area = length * width
Area = (5x+2)(x-4)
A = 5x(x-4) +2(x-4)
A = 5x² - 20x + 2x - 8
A = 5x² - 18x - 8

The polynomial expression that represents the area of the rectangle is: C. 5x² - 18x - 8

What is the Area of a Rectangle?

Area = (length)(width)

Given the dimensions of the rectangle as:

  • Length = 5x + 2
  • Width = x - 4

Area of the rectangle = (5x + 2)(x - 4)

5x(x - 4) + 2(x - 4)

5x² - 20x + 2x - 8

Add like terms together

5x² - 18x - 8

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Find the equation of the line through (2, 3, 0) perpendicular to the vectors a = (1, 2, 3) and b = (3, 4, 5).

Answers

The cross product a×b is a vector perpendicular to both. That cross product is
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This can have common factors removed and be sign-adjusted to (1, -2, 1), so the equation of the line can be written in parametric form as ...
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_____
When working with vectors and matrices, a suitable calculator can be very helpful. There are several phone and tablet apps and web sites that can do these calculations for you.

A trading token is in the shape of a trapezoid and has an area of 25 cm² if the bases are three and 7 cm what is the height of the tokens

Answers

Area = (b1 + b2)/(2) *h
25 = (3 + 7)/(2) * h
25 = (10)/(2)*h
25 = 5h
5 = h
the height is 5
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