Graph the linear equation. Find the three points that solve the equation then plot on the graph. -y=-x+1
1 answer:
Answer:
Step-by-step explanation:
The first step will be to make y the subject of the formula, by multiplying both sides of the equation by -1.
y = x - 1
This is simply the equation of a line with a slope of 1 and y-intercept (0,-1)
To determine the three points that solve the equation, we can let x be;
0, 1, 2
When x =0, y = 0-1 = -1
When x = 1, y = 1-1 = 0
When x = 2, y = 2 - 1 = 1
Therefore, we have the following three sets of points that can be used to graph the given linear equation;
(0, -1)
(1, 0)
(2, 1)
Find the attached for the graph
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In order to answer this question, the figure in the first picture will be helpful to understand what a right triangle is. Here, a right angle refers to .
However, if we want to solve the problem we have to know certain things before:
In the second figure is shown a general right triangle with its three sides and another given angle, we will name it :
- The side <u>opposite to the right angle</u> is called The Hypotenuse (h)
- The side <u>opposite to the angle
</u> is called the Opposite (O)
- The side <u>next to the angle
So, going back to the triangle of our question (first figure):
- The Hypotenuse is AB
- The Opposite is BC
- The Adjacent is AC
Now, if we want to find the length of each side of a right triangle, we have to use the <u>Pythagorean Theorem</u> and T<u>rigonometric Functions:</u>
Pythagorean Theorem
(1)
Trigonometric Functions (here are shown three of them):
Sine: (2)
Cosine: (3)
Tangent: (4)
In this case the function that works for this problem is cosine (3), let’s apply it here:
(5)
And we will use the Pythagorean Theorem to find the hypotenuse, as well:
(6)
(7)
Substitute (7) in (5):
Then clear BC, which is the side we want:
Finally is approximately 13 cm
