Answer:
Slope is -0.6
y-intercept is -0.2
Step-by-step explanation:
We can find the slope of our line by dividing the change in y with the change in x between the 2 values.
We have 2 points: (-2, 1) and (3, -2)
Thus, we have the y-values of 1 and -2. (second number)
The change is thus:
1 - (-2) = 3
Meanwhile, we have the x-values of -2 and 3. (first number)
The change is thus:
-2 - 3 = -5
Dividing 3 by -5 we get:
The slope of our line is thus, -0.6
The y-intercept is the y-value at which the line meets the y-axis. In other words, when x = 0.
We know that our y-value changes by -0.6 for each x (our slope).
Since y = 1 at x = -2 (our first point), if we add 2 x, our y-value should change by -1.2:
2 * -0.6 = -1.2
If y was 1, and we change it by -1.2, we get:
1 - 1.2 = -0.2
Thus, the y-intercept is -0.2, as that is our y-value when x = 0.
Answer:
(tan(x)-2)(tan(x)-1)=0
Step-by-step explanation:
This is the same as a polynomial, you can factor the same way. To make it simpler you can substitute tan(x) for any random variable like u.
u^2 - 3u + 2 = 0 (factor)
(u-2)(u-1)=0 (substitute u back for tan(x))
(tan(x)-2)(tan(x)-1)=0
The first triangle will be a scalene right.
the second will be an isosceles acute.
the third will be a scalene obtuse.
Answer:
2c
Step-by-step explanation:
8c^3 2c^2
------------ ÷ -------------
6 (c+d) 3c+3d
Factor the 3 out of the denominator in the last term
8c^3 2c^2
------------ ÷ -------------
6 (c+d) 3(c+d)
Since this is division, we can use copy dot flip
8c^3 3(c+d)
------------ * -------------
6 (c+d) 2c^2
We can cancel the (c+d) in the denominator on the left and the numerator on the right
8c^3 3
------------ * -------------
6 2c^2
We can cancel c^2 from the numerator on the left (leaving a c) and the denominator on the right
8c 3
------------ * -------------
6 2
24c
-----
12
24/12 = 2 so we are left with
2c
Answer:
Step-by-step explanation:
