Answer:
r = - 29
Step-by-step explanation:
Given
- 3r = 87 ( divide both sides by - 3 )
r = = - 29
What is the slope of 2x-4y=5
2 answers:
Answer:
1/2 or .5
Step-by-step explanation:
Hey There!
So the first step of this problem is to get y on one side and everything else on the other side
to do so we use inverse operations
so to get rid of the 2x we subtract 2x from each side
we would end up with -4y=5-2x
now want to get rid of the -4 on the y
to do so we would divide each side by -4
we would end up with
so we can conclude that the slope is 1/2 or .5
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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: