Answer:
25%
Step-by-step explanation:
25% of 60 is 15 because 15 is 1/4 of 60 and 1/4 is 25%
<u>I'll assume you need to find the equation of the line that passes through those points.</u>
Answer:
Step-by-step explanation:
<u>Equation of a Line:</u>
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
The given points are (-4,2) and (12,6), thus:
Operating:
Simplifying, the equation in point-slope form is:
Answer:
slope is 0 and the y-intercept is -4!
Step-by-step explanation:
<span>for the first part, realize that the hour and minute hands are moving at different rates; in one hour, the minute hands moves all the way around the face of the clock, and thus moves a total of 360 degrees or 2 pi radians; the hour hand moves only 1/12 away around the clock, so covers only 30 degrees or Pi/6 radians.
Now, the LINEAR distance traveled by the tip of each hand is also determined by the length of the hand. In the case of the minute hand, it sweeps out a circle of radius 10 cm, so traces out a circle of radius 10 cm. Since the circumference of a circle is 2*pi*r, the minute hand (remember it made one complete cycle) covers a distance of 2*pi*10cm=20 Pi cm
The hour hand covers only 1/12 a circle, but that circle is only 6 cm in radius, so the distance traveled by the tip of the minute hand is:
1/12 *[2 *pi*r]=1/12*[12*pi]=pi
so the difference is 19pi
for the last part, you should draw a diagram of the two hands, the minute hand is 10 cm in length, the hour hand is 6 cm in length, and they are 30 degrees apart...from that drawing, see if you can figure out the remaining leg of the triangle you can form from them
good luck</span><span>
</span>
Answer:
y = 2/3x + 1 1/3
Step-by-step explanation:
Find the slope using rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(2 - 0) / (1 + 2)
2 / 3
= 2/3
Then, plug in the slope and a point into y = mx + b to solve for b:
y = mx + b
2 = 2/3(1) + b
2 = 2/3 + b
1 1/3 = b
Plug in the slope and y intercept into y = mx + b
y = 2/3x + 1 1/3 is the equation of the line
