Answer: 23
Step-by-step explanation: You can start by setting this up as an equation like so,
X + 3(X) =92 where x is Thomas’ age and the 3x indicates Hullans age being 3 times greater than Thomas.
Combine the x’s
4(x) = 92
Divide by 4 X = 92/4
92/4 = 23, x = 23
Answer:
-1/3
Step-by-step explanation:
2^2 + 3x - 3 = 0
4 - 3 + 3x = 0
1 + 3x = 0
x = -1/3
Hope it helps
Answer:
The vertex is the point 
Step-by-step explanation:
we have
we know ow that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
Convert the equation into vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
therefore
the vertex is the point
Answer:
The second answer is correct (5 x 1,000,000,000)
Step-by-step explanation:
Just count the number of zeros. Multiplying a number liket his by five doesn't change the number of zeros
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
