Answer:
0.25 miles
Step-by-step explanation:
assuming that she keeps a constant Velocity/ speed,
find the speed she intends to run with, ie total distance/time
find the distance she travels in two minutes, ie speed multiplied by time.
First, distribute the 2 across the parenthesis.
10-3v+9v=28
Combine like terms on the left.
10+6v=28
Start to get the numbers on the right and the v alone on the left by moving the 10 to the right.
6v=28-10
6v=18
Divide to get the v alone.
v=3
Hope that helps.
9514 1404 393
Answer:
A. 53.5cm^2
Step-by-step explanation:
The area of the circle is ...
A = πr²
A = 3.14(5 cm)² = 78.5 cm²
The area of the triangle is ...
A = 1/2bh
A = 1/2(10 cm)(5 cm) = 25 cm²
The shaded area is the difference between the circle area and the triangle area:
shaded = 78.5 cm² -25 cm² = 53.5 cm²
_____
<em>Additional comment</em>
As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).
The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.
Well just by looking at the information provided, you can tell that the equation would look like y = 4x -1. The y-intercept is -1 because the x value is 0. But if you want to see how to solve it algebraically, here’s an explanation... You need to substitute the y-intercept into the equation in order to solve for b, which would then complete the equation. Take the equation y=mx+b. Substitute in the slope and xy values, (-1) = 4(0) + b. Now the equation should look like this: -1 = b. So now that you have the value of b, the complete equation should be y=4x-1
This is the answer to the problem. Hope it helps
