Answer:
y = 2/3x + 7/3
Step-by-step explanation:
We know
The line pass through the point (4,5)
The equation is: y = 2/3x - 4
m = 2/3
To solve this, we can use the fact that parallel lines have the same slope. Since the parallel line we're looking for has the same slope, we can use the point-slope form of a linear equation to find its equation:
y - y1 = m(x - x1)
y - 5 = 2/3(x - 4)
y - 5 = 2/3x - 8/3
y = 2/3x + 7/3
So, the answer is y = 2/3x + 7/3
Answer:
tan theta = -4/3.
Step-by-step explanation:
The inequality means that theta is in the 4th quadrant ( between 270 and 360 degrees.
The angle whose sine is 4/5 is 53.13 degrees.
So the angle whose sine is -4/5 is 306.87 degrees.
The tangent is negative and the triangle formed by the angle in the 4th quadrant has sides 3, - 4 and 5 ( by the Pythagoras theorem).
So tan theta = opposite / adjacent = -4/3 (answer).
a. (m – 2)(m + 18)
b. (m – 3)(m + 3)
c. (m – 4)(m + 9)
d. (m – 6)(m + 6)
Answer:
Option D
Step-by-step explanation:
we have
Simplify
we know that
In a difference of square
Remember that
therefore