A) We are told that at 2 hours, the velocity is 18 km/h and at 4 hours, the velocity is 4 km/h. Since we are relating two variables - let's give them names.
Let x = time and y = velocity. Since the velocity depends on the time (that is, the time influences velocity), this is a linear function. Any linear function can be written in slope intercept form as y = mx + b. The problem wants the situation in standard from of Ax + By = C, which can be found from slope intercept form.
So now we can make our line. Consider the ordered pairs of (2,18) and (4, 4) with them in (x, y) form. Finding the slope, m, between these points is as such:
m = y₂-y₁ / x₂-x₁
m = 4 - 18 / 4 - 2
m = -14 / 2 = -7.
Our slope is -7.
We take m = -7, x = 4, and y = 4 (it goes 4 km/h in 4 hrs) and use those three things to find the y-intercept.
y = mx + b
4 = -7 * 4 + b
4 = -28 + b
32 = b
So our equation of the line is y = -7x + 32. To put the equation into standard form, we need to place all the variables on one side of the equals sign, all the numbers on the other.
y = -7x + 32
7x + y = 32
In standard form, the equation for this situation is 7x + y = 32
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To find out the velocity at 8 hours, we evaluate our function at x = 8. Either equation (standard form or slope intercept) works; we use standard form.
7x + y = 32
7*8 + y = 32
56 + y = 32
y = -24
At a time of eight hours, the bicycle is moving at -24 km/h.
Step-by-step explanation:
Figure %: An angle whose vertex is in the interior of a circle The measure of angle 1 is equal to half the sum of the measures of arcs AB and DE. When an angle's vertex lies outside of a circle, and its sides don't intersect with the circle, we don't necessarily know anything about the angle.
Can you attach a photo please to the question and repost
Karen bought 8.5 pounds of flour. She uses only 2.5 pounds of flour to make the bread.
So, the amount of flour left after baking the bread = (8.5 - 2.5) pounds
= 6 pounds
So 6 pounds of flour is left. She breaks this 6 pounds of flour into several bags and each bag contains 2/5 pound of flour.
Now to calculate the 2/5 th pound of flour in decimal, we get = 0.4 pounds
So each of the bags contain 0.4 pounds of flour. Now we have to calculate the number of bags in which the flour have been kept.
So,
Number of bags required = 6/0.4
= 15
So 15 small storage bags are required by Karen to keep the remaining flour.
Answer:
28 cm
Step-by-step explanation:
dilation means to increase or decrease the shape so find the amount it was dilated by dividing -12 by -3 or 20/5 u should get 4 then multiply 7 by 4.