Find the common denominators. for the miles 5 and 3 go into 15. so 2/5 times 3 is 6/15. and 2/3 times 5 is 10/15. for the hours 5 and 9 go into 45. 1/5 times 9 is 9/45. and 2/9 times 5 is 10/45. so Susan ran 6/15 of a mile in 9/45 of an hour. and Kim ran 10/15 of a mile in 10/45 of an hour.
so Kim ran 3 miles in an hour. Susan ran 2 miles in an hour.
Answer:
Step-by-step explanation:
for IV you do 40^2+30^2=c, or 1600+ 900=c. c= 2500 and unsquare that you get 50
y = - 2x + 7; slope m = -2
Parallel lines, slope is the same
So y = -2x + b
b = y + 2x
Passing thru (4 , 1)
Plug in
b = 1 + 2(4)
b = 9
Equation
y = - 2x + 9
Answer:
10859.94
Step-by-step explanation:
To solve this, you need to know the formula for solving the area of a circle: πr²
The first thing you should do is find the area of the square: 78 x 78 = 6084
Then, we find the area of the circle. To do this, we must figure out the radius. Luckily, the problem states that the combined diameter of both half circles is 78, which means the radius is 39. Then, we can apply the formula: π39².
39² = 1521
1521 x 3.14 = 4775.94
This is the combined area of both half circles.
Finally, we have to add: 4775.94 + 6084 = 10859.94
Hi there! :)
Answer:
Given the information, we can write an equation in slope-intercept form
(y = mx + b) to graph the line:
Plug in the slope for 'm', the y-coordinate of the point given for 'y', and the
x-coordinate given for 'x':
-4 = -2/3(-7) + b
-4 = 14/3 + b
Solve for b:
-12/3 = 14/3 + b
-12/3 - 14/3 = b
-26/3 = b
Therefore, the equation of the line is y = -2/3x - 26/3 (Graphed below)
Some points on the line include:
(-7, -4)
(-4, -6)
(0, -26/3)
(2, -10)
(5, -12)