1 Simplify 1/2x^2 to x^2/2
X^2/2 - x+5=0
2 Use the Quadratic Formula
x=1+3ı,1−3ı
So the answer is the first one a
Answer:
Length of diagonal = 10 feet
Step-by-step explanation:
Length of a rectangular screen = 6 feet
Width of the rectangular screen = 8 feet
Since, all interior angles of a rectangle are 90°,
Triangle formed with two adjacent sides and the diagonal will be a right triangle.
By applying Pythagoras theorem,
Hypotenuse² = (leg 1)² + (leg 2)²
(Diagonal)² = (leg 1)² + (leg 2)²
Diagonal = 
= 
= 10 feet
We know that
<span>Monica can walk 3.8 kilometers in 40 minutes
and
</span><span>she can jog twice that distance in the same amount of time
that means
in 40 minutes Monica can jog (3.8 km*2)-----> 7.6 km
1 hour=60 minutes
</span>by proportion<span>
7.6 km/40 minutes=x km/60 minutes
x=7.6*60/40----> x=11.4 km
the answer is
11.4 km</span>
Answer: OPTION D.
Step-by-step explanation:
For this exercise it is important to remember that:
1. Direct proportion equations have the following form:

Where "k" is the constant of proportionality.
2. The graph of Direct proportions is an straight line that passes through the origin.
Observe the picture attached.
If you join the points G, C and A, you get a straight line that passes through the origin,
If you join the points F, G and H, you also get a straight line that passes through the origin,
Therefore, the sets of points show "x" in Direct proportion to "y", are:
and
Answer:
<em>2.5 hours</em>
<u>Skills needed: Speed, distance, time problems</u>
Step-by-step explanation:
1) We are given speed and distance, and have to find out the the time (in hours).
- In terms of units, everything is matched up (Since distance and speed use kilometers, and speed and time use hours).
- Time is always the distance you travelled (how far) divided by how fast you travelled (the rate/speed)
---> We can use the formula for time: 
t= time
d=distance
r=rate/speed
2) Now, let's plug in for distance and rate.
---> 
2.5 hours is the answer.