Which of the following orderd pairs is a solution of x + 1/2 y = 1
1 answer:
Answer:
(-2,6)
Step-by-step explanation:
For an ordered pair (x,y) to be a solution to the equation given, we have to plug in x-coordinate in "x" and y-coordinate in "y" of the following equation and see if it is "1".
Whichever makes it true, is the correct answer.
Checking:
This is right.
We don't need to check the other two, the first one is the right option.
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Answer:68.3 degrees
Step-by-step explanation:
The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows
c^2 = a^2 + b^2 - 2abCos C
Looking at the triangle,
b = 75 miles
a = 80 miles.
Angle ACB = 180 - 42 = 138 degrees. Therefore
c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138
c^2 = 6400 + 5625 - 12000Cos 138
c^2 = 6400 + 5625 - 12000 × -0.7431
c^2 = 12025 + 8917.2
c = √20942.2 = 144.7
To determine A, we will apply sine rule
a/SinA = b/SinB = c/SinC. Therefore,
80/SinA = 144.7/Sin 138
80Sin 138 = 144.7 SinA
SinA = 53.528/144.7 = 0.3699
A = 21.7 degrees
Therefore, theta = 90 - 21.7
= 68.3 degees
Answer:
Step-by-step explanation:
y - y1 = m(x - x1) y1 = 1 x1 = 2 m = -1/3
y - 1 = -1/3(x - 2)
y = -x/3 + 2/3
