Answer:
Step-by-step explanation:
The equation of a direct variation is generally written as:
Where m is the slope of the equation of the direct variation line.
We want a direct variation equation that contains (6,-2).
We substitute the x=6 and y=-2 to find m.
Divide both sides by 6.
The required equation is
Answer:
x = 10, y = 20
Step-by-step explanation:
Because two sides of the rightmost triangle are congruent, the base angles would follow suit. This means 5x - 10 = 3x + 10. Simplifying this we get:
2x = 20
x = 10
Next, in the other triangle, we can say the same thing, the base angles would be congruent. From this we can say that the other base angle is 4y. Using the exterior angle theorem, we can say that the two angles with x terms add to 4y. This means 3x + 10 + 5x - 10 is 4y. We already know x is 10, so substituting that in we get:
80 = 4y
y = 20
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Answer:
2, 7, 13
Step-by-step explanation:
182/2 = 91
91/7 = 13
The prime factors of 182 are 2, 7, and 13.
182 = 2×7×13
√80 because the absolute value for complex numbers of the form a+bi are evaluated as √a²+b²
