Answer:
24
Step-by-step explanation:
Here's how we construct the LCD:
Factor the denominators 6 and 8: 6 = 2*3 and 8 = 2*2*2
The LCD involves 2*2*2 as well as 3:
LCD: 2*2*2*3 = 24. Note that 24 is divisible by both 6 and 8. There is no smaller LCD that is divisible by 6 and 8 both.
Answer:
160
Step-by-step explanation:
5x-10+12x=16x
17x-16x=10
x= 10
exterior angle at C = 16x= 16×10 = 160°
With u = <-7, 6> and v = <-4, 17>, we have
u + 3v = <-7, 6> + 3 <-4, 17> = <-7, 6> + <-12, 51> = <-19, 57>
We want to find a vector w such that
u + 3v + w = <1, 0>
Subtract u + 3v from both sides to get
w = <1, 0> - (u + 3v) = <1, 0> - <-19, 57>
w = <20, -57>
The equation of the line is y = 0.8x - 1.4 if the slope of the line is 0.8 and line passes through coordinates (-2,-3)
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
![\rm m =\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Crm%20m%20%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
The slope m = 0.8
The line passing through coordinates (-2,-3)
y = mx + c
y = 0.8x + c
Plug the point in the equation.
-3 = 0.8(-2) + c
c = -1.4
y = 0.8x - 1.4
Thus, the equation of the line is y = 0.8x - 1.4 if the slope of the line is 0.8 and line passes through coordinates (-2,-3)
Learn more about the straight line here:
brainly.com/question/3493733
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