<span>The distance from the vertex to the centroid is twice the distance from the centroid to the side.
This means that 3x + 5 = 2 * (2x)
</span><span>3x + 5 = 4x
x = 5
Source:
http://www.1728.org/trictr.htm
</span>
<span> the population grows at rate of 1.75
multiply it by this rate every year
As in year 3 it would be 5340(1.75)(1.75)(1.75)
the function is 5340(1.75)^x
</span>f(x) = 5340(1.75)^x where 1.75 is the rate of growth
so D is right answer
Answer:
y = (3/4)x + 2
Step-by-step explanation:
Slope-intercept form is y=mx+b where (x, y) is a point on the linear graph, m is the slope (rise/run), and b is the y-intercept (the y-value at which the graph passes through the y-axis).
Looking at the graph, we can see that the point at which the line crosses the y-axis is (0, 2) which makes it the y-intercept. Thus, the b in the slope-intercept form is 2.
Next, we are looking for the slope of the line. To do this, we can calculate the rise/run of the line by choosing to points on it. Since we already have the point (0, 2), we just need one more.
For example, the point (-4, -1) can be used. The slope can be found by ((y-y)/(x-x)) in which the first y and x values correspond with the first point and that of the second correspond with the second set. So in this case, m = (2-(-1))/(0-(-4)) = 3/4
Plugging in the calculated m and b value in the slope intercept equation, we get y = (3/4)x + 2
Answer: -4 is the answer
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A scale model means that the ratios stay the same.
Therefore, Earth's diameter divided by Pluto's diameter is equal to the ratio of Earth's model's diameter divided by Pluto's model's diameter.
We can write this as
8000 / 1500 = 32/ Pluto's model's diameter. Representing Pluto's model's diameter as P, we can say
8000 / 1500 = 32 / P
multiply both sides by 1500 to remove a denominator
8000 = 32 * 1500 / P
multiply both sides by P to remove the other denominator
8000 * P = 32 * 1500
divide both sides by 8000 to isolate the P
P = 32 * 1500/8000
= 6 inches
