Answer:
x = -5
Step-by-step explanation:
Step 1: Write equation
-2x + 8 = 18
Step 2: Solve for <em>x</em>
- Subtract 8 on both sides: -2x = 10
- Divide both sides by -2: x = -5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-2(-5) + 8 = 18
10 + 8 = 18
18 = 18
1/12 is the square root of 1/144
We know that
the distance from the centroid of the triangle to one of the vertices is the radius of the circle <span>required to inscribe an equilateral triangle.
[distance </span>centroid of the triangle to one of the vertices]=(2/3)*h
h=the <span>altitude of the equilateral triangle-----> 5.196 in
so
</span>[distance centroid of the triangle to one of the vertices]=(2/3)*5.196
[distance centroid of the triangle to one of the vertices]=3.464 in----> 3.5 in
the radius is equal to the distance of the centroid of the triangle to one of the vertices
hence
the radius is 3.5 in
the answer is
the radius is 3.5 in
Answer:
Step-by-step explanation:
4(x+15)>_120
4x+60>_120
-60. -60
4x>_60
— —
4 4
X>_12
Charter Bus:
1.
350 ( distance) / 50 ( rate) = 7 (time in hours).
Conclusion - Will take the charter bus 7 hours to drive from Norfolk to New York.
2.
12 - 6 = 6 A.M ( counting for time left in this half of the day)
7 - 6 = 1 hour left ( which will be then 1 P.M )
Conclusion- Will arrive in New York City at 1 P.M.
Personal Vehicle:
3.
1 hour : 70 miles, 2 hours : 140 miles, 3 hours : 210 miles, 4 hours : 280 miles, 5 hours : 350 miles.
Conclusion: It will take 5 hours to get to New York City from Norfolk.
4.
12 A.M - 7:30 A.M = 4:30 A.M
5 - 4.5 = 0.5 hours left ( which will be then 12:30 P.M )
Conclusion- Will arrive in New York City at 12:30 P.M.
Meet Up:
5. By looking at the rates/ratios of both vehicles and finding out the time it would take with both vehciles also I figured out that Dakota's parents will arrive first.
I didn't include a graph, I thought that you could do that with the rates of both vehicles.
