Answer: Destiny's speed is 11 mph.
Alicia's speed is 15 mph
Step-by-step explanation:
Destiny and Alicia both leave the coffee shop at the same time, but in opposite directions. If they are 78 miles apart after 3 hours, it means that the total distance that they covered in 3hours is 78 miles
Let x represent the speed at which Destiny travelled. If Alicia travels 4 mph faster than Destiny, it means that the speed at which Alicia travelled is (x + 4) mph
Distance = speed × time
Distance covered by Destiny in 3 hours is
3 × x = 3x
Distance covered by Alicia in 3 hours is
3(x + 4) = 3x + 12
Since the total distance is 78 miles, then
3x + 3x + 12 = 78
6x = 78 - 12 = 66
x = 66/6 = 11 mph
Alicia's speed is
11 + 4 = 15 mph
Scale for y - 1:1
Scale for x - 1:10
Reason- so that i can plot the points on the graph without any modification to the given one.
Now plot the points on the graph using the scale. I cant obviously do that here.
Step-by-step explanation:
The center of a circle with 2 end points of a di diameter is the midpoint of the two endpoints.
The formula needed to find the minpoints is
(x,y) = (x2 + x1)/2, (y2 + y1)/2
x2 = 3
x1 = 3
y2 = 0
y1 = -7
midpoint = (3 + 3)/2, (0 - 7)/2
midp[oint = 3,-3.5
The midpoint is the center of the circle. Observe that the signs get changed when entering the values for (x,y)
So far what you have is (x - 3)^2 + (y + 3.5)^2 = r^2
To determine r^2 you need only take the distance from the center to oneof the endpoints.
r^2 = (3 - 3)^2 + (3.5 - 0)^2
r^2 = 3.5^2
r^2 = 12.25
Answer: (x - 3)^2 + (y + 3.5)^2 = 12.25
There are 4 quarts in 1 gallon.
3 x 4 = 12
12 + 2 = 14 quarts
Hope this helps!! :)
