Answer:
- y1 = -x +5
- y2 = 2x +14
- (x, y) = (-3, 8)
Step-by-step explanation:
We notice that x=0 is halfway between x = -1 and x = 1, so the corresponding y-intercepts will be ...
for y1, (6+4)/2 = 5
for y2, (12+16)/2 = 14
Each step in x is +2. The steps in y1 are -2, so the slope is -2/2 = -1.
The steps in y2 are +4, so the slope is 4/2 = 2.
Now, we have the slopes and intercepts, so we can write the system of equations as ...
y1 = -x +5
y2 = 2x +14
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The y-values are shown as equal in the table for x=-3, so the solution of the system of equations is ...
(x, y) = (-3, 8)
Answer:
x 0
Step-by-step explanation:
You need each of the square roots to be positive numbers, and the only for that to happen is if the variable is 0 or a positive number.
Using relations in a right triangle, it is found that:
sin(x) = cos(y) = 0.6.
Since angles x and y are complementary, we have that sin(x) = cos(y), that is, the ratio is of 1.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
Applying the Pythagorean Theorem, the hypotenuse is given by:
h² = 3² + 4²
h² = 25
h = 25.
Hence, applying the definitions:
Since angles x and y are complementary, we have that sin(x) = cos(y), that is, the ratio is of 1.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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