Answer:
The radius is 9.0 units
Step-by-step explanation:
we know that
In the right triangle of the figure ABC
Applying the Pythagorean Theorem
substitute the given values
solve for AB
Remember the the side AB of right triangle represent the radius of the circle
therefore
The radius is 9.0 units
Answer:
1. initial point is (2, 4)
reflected point is (-2, 4)
the coordinates are similar because they involve the same numbers, however, with the reflection across the Y axis, the X point became negative.
2. initial point is (2, 4)
reflected point is (2, -4)
again, same numbers but the X value becomes negative
Hope this helps!
Answer:
x = 25.35 (or 2129/84) and y = 4334.04 (or 121353/28)
Step-by-step explanation:
The given equations are set up and ready to go with substitution. Simply just plug in the first equation to the second equation as both are equal to y.
Step 1: Replace y in <em>y = 87x + 2129 </em>with <em>171x</em>
171x = 87x + 2129
Step 2: Subtract 87 x on both sides
84x = 2129
Step 3: Divide both sides by 84 to get x
x = 2129/84 or 25.35 (rounded)
To get y, simply plug in x into one of the 2 original equations. In this case, I will use the first equation:
y = 171 (25.35)
y = 121353/28 or 4334.04 (rounded)
You can check your work by plugging both solutions into the calculator and see if they equal each other. The values for these answers are solely based on the equations, so if you write the <em>equations </em>wrong themselves, then that means you have the values wrong as well.
7:45 -1 hour=6:45
The concert started at 6:45
7:45+2 hours=9:45
The concert will be over at 9:45
The time outside the theater is
5:30a.m. or 5:30p.m.
It's most likely 5:30p.m. as 5:30a.m. is really early in the morning.
How many books has she read so far? She's been doing this for 7 months, so so far she's read:
7*3=21
how many does she still need to read?
30-21=9
so she needs to read 9 more books. With 3 books a month, this means:
9/3=3
so she needs to read 9 more books, which will take her 3 months!
