Solve for p 3+|1+p|=12
1 answer:
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Answer:
1. f
2. a
3. b
4. e
5. c
6. d
1. I figured out how to order them by using the distance formula to calculate how far each point was, from the other.
2. (1, -10) and (1, -11)
3. (1, -10) and (1, 11)
Step-by-step explanation:
<u>Using Letter A, as example:</u>
To calculate the distance between the points, you use the formula:
d = 6
Just do the same thing (plug in the numbers into the formula), and you should be able to get the correct answers.
The right triangle is assumed to be inscribed in the rectangle, such that
hypotenuse is the diagonal of the rectangle.
- The length of the hypotenuse of the triangle is <u>26 cm</u>.
Reasons:
Let <em>x</em> and<em> </em><em>y</em> represent the length of the sides of the rectangle
Whereby the base and height of the right triangle are the same as the
length and width of the rectangle, we have;
Perimeter of the rectangle = 2·x + 2·y = 68
Therefore;
x + y = 34
The base of the right triangle = x
The height of the right triangle = y
By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)
Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60
Which gives;
∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26
The length of the hypotenuse side, √(x² + y²) = <u>26 cm</u>
Learn more about Pythagoras's theorem here: