45x + 50y = 2500
45(0) + 50y = 2500
50y = 2500
y = 50
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Vertex: (1/2,484)
Focus: (1/2, 30975/64)
Axis of Symmetry: x=1/2
Directrix: y=30977/64
x l y
1/2 l 484
1 I 480
A) How long did it take for Jason to reach his maximum height? -b/2a=-16/-32= 1/2s
B) What was the highest point that Jason reached?
484ft ~h(ois)
C) Jason hit the water after how many seconds?
roots -5&6 so 6s
Oh and by the way there is some seriously cool cliff jumps in Acapulco, I'm dying to go.
<u>1/2s, 484ft, 6s</u>
The rate charged per hour by each mechanic was: x = 75 $ / hr and y = 115 $ / hr.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given;
The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.
Together they charged a total of $3225.
For this case we have the following variables:
x be the amount of $ / hr that the mechanic obtains 1.
y be the amount of $ / hr obtained by mechanic 2.
An equation to express this would be:
x + y = 190
20x + 15y = 3225
Solving the system of equations we have:
20x + 15(190 -x) = 3225
20x + 2850 - 15x = 3225
5x = 375
x = 75
simililary
y = 190 - x
y = 115
Hence, the rate charged per hour by each mechanic was:
x = 75 $ / hr
y = 115 $ / hr
Learn more about equations here;
brainly.com/question/10413253
#SPJ1
Answer:
The measure of side AC is 6 cm.
Step-by-step explanation:
The information for the triangle ABC are:
AB = 6 cm
m∠A = 80°
m∠B = 50°
The sum of all angles of a triangle is 180°.
Compute the value of m∠C as follows:
m∠A + m∠B + m∠C = 180°
m∠C = 180° - 80° - 50°
= 50°
Thus, the angles, m∠C = m∠B.
Consider the triangle below.
If two angles of a triangle are equal or similar then that triangle is known as an isosceles triangle.
And in an isosceles triangle the sides corresponding to the equal angles are equal.
Then in this case as m∠C = m∠B then sides AC = AB.
The measure of the side AC is 6 cm.
<span>7x - 5 - 9x + 2 = -2x - 3 ..............combine like terms
answer
</span><span>-2x - 3</span>
