Answer:
The slope is: m = -²/₅
The y-intercept is: b = -2
The equation of the line: y = -²/₅x - 2
Step-by-step explanation:
The equation of a line in slope intercept form: y = mx + b
The slope: 
(-5, 0) ⇒ x₁ = -5, y₁ = 0
(0, -2) ⇒ x₂ = 0, y₂ = -2
So:
Answer:
27 and 23
Step-by-step explanation:
We can solve this problem as a system of equations. X is the first number and Y is the second number.
The first equation is x+y = 50 and the second equation is x-y=4
Now we solve the system, using elimination method:
x+y=50
x-y=4
2x = 54
x = 54/2
x = 27
And from any of the equations we can find Y
27 + y = 50
y = 50 - 27
y = 23
Your triangle has acute angles X and Y, and right angle Z.
For an acute angle A in a right triangle:
The sine is the ratio of the opposite leg to the hypotenuse.
sin A = opp/hyp
The cosine is the ratio of the adjacent leg to the hypotenuse.
cos A = adj/opp
The hypotenuse of a right triangle is the side opposite the right angle. It is the longest side of a right triangle. There is only one hypotenuse in a triangle, so there is no confusion with the hypotenuse.
The two sides that form the right angle are called the legs. Each leg is opposite an acute angle. The legs may or may not be congruent to each other, but each leg is always shorter than the hypotenuse. Since there are two legs, we need to be able to distinguish them. If you take an acute angle as your angle of interest, the leg that is part of the angle is called the adjacent leg. The other leg is the opposite leg. Adjacent leg and opposite leg are relative terms. They depend on the acute angle you are considering.
For your triangle, if you look at angle X, then the adjacent leg is side XZ. The opposite leg for angle X is side YZ.
Using the ratios mentioned above for sine and cosine, you get:
sin X = opp/hyp = sqrt(119)/12
cos X = adj/hyp = 5/12
Each strip is 29 cm
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Change the m to cm
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6 m = 600 cm
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Find the number of strips for 1 6m-board
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Find the number of strips that can be cut from the 6m board.
600 ÷ 29 = 20 pieces remainder 20cm
So we can only cut 20 pieces of 29 strips from one 6m board.
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Find number of boards needed
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70 ÷ 20 = 3.5
We need 3.5 of the 6m boards.
Since she can't have half a board, she has to buy 4 pieces of the board.
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Answer: 4 pieces of the 6m board.
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