A. slope intercept form is y=mx+b where m is your slope and b is your y-intercept. Since it gives you the slope (4) and the y-intercept (-9) all you have to do is plug it into the equation to get y=4x-9
b. This one is a little bit trickier but by no means impossible. the first thing we want to do is find the slope, and in order to do this we take the second y minus the first and divide it by the difference of the second x and the first x. the way that would look in this case is (10-6)/(4-0) and when we simplify this we get 4/4=1
Since our slope is 1, we just need to find the value of y when x=0, In this problem it is given to us with the point (0,6) if we plug both of this into our equation we get y=x+6 (the 1 in front of the x is optional
Answer:
Step-by-step explanation:
This is a 30°-60°-90° triangle, so its sides are in the ratio 1:√3:2
The side opposite the 90° angle is 11, so the side opposite the 30° angle is 11/2 = 5.5
x is opposite the 60° angle, so its length is 5.5√3 ≅ 9.5 units
Before you do the steps, change the fractions given to improper fractions:
2 2/3 = 8/3
3 1/6 = 19/6
Now, I think the first step they want you to write is:
8/3 (divided by) 19/6
When you divide two fractions, it's the same as multiplying the first fraction by the reciprocal of the second fraction. (A reciprocal is a fancy way of saying you flip the fraction)
So the next step will look like this:
8/3 x 6/19
With this setup, you can cross simplify the fractions so that they look like this:
8/1 x 2/19
When you multiply this, you get 16/19
Let me know if you have any questions!
Answer:
90
Step-by-step explanation:
each minute on the clock is 6 degrees so 6*5=30= 1 hour
30*3=90 because 3 hours
