Answer:
x=13
Step-by-step explanation:
2x+9=35
2x=35-9
2x=26
x=26/2
x=13
Answer:
The first question is the third choice. Divide by two to get proper squaring. Anytime there is a number in front of the x in a situation like that, always divide by that number on both sides first. Then go from there.
The second question is also the third choice. The square root of 64 is 8. It can't be negative because square rooting is always positive unless you want a weird "i" in there. That's for algebra 2 and beyond so don't worry about it mate.
Answer:
60 feet
Step-by-step explanation:
Perimeter is the sum of the four sides of a rectangle
the formula for the perimeter of a rectangle = 2 x (length + breadth)
2 x (10 + 20)
2 x (30)
= 60 feet
Alternatively, you can add the sides together : 10 + 10 + 20 + 20 = 60 feet
This problem is asking us to make an algebraic equation or representation of the situation. First we have to assign the variables which is already given in the problem. H is the number of the home team and V is the visiting team. Since the problem states there are the home team has five times as manyfans as the visiting team, then it can be represented as:
H = 5V
Also, H + V = 52,000. H and V can then be solves by solving the 2 equations simultaneously. The results are 43,333 and 8,667.
Answer:
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Step-by-step explanation:
To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.
h(t) = -16t² + 96t
= -16(t² - 6t)
= -16(t² - 6t + 9) - (-16) * 9
= -16(t - 3)² + 144
Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".
