A lamp was on sale for 25% off its regular price of $80. Craig had a coupon that took an additional 25%
1 answer:
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Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 is in this form with slope m = 3
• Parallel lines have equal slope
• The slopes of perpendicular lines are negative reciprocals of each other
A
y = - x - 8 has slope m = -
3 and - are negative reciprocals
This line is perpendicular to y = 3x + 2
B
y = 3x - 10 has slope m = 3
This line is parallel to y = 3x + 2
C
y = 2x + 4 has slope m = 2
This line is neither parallel nor perpendicular to y = 3x + 2
Answer:
<h2>9 square units</h2>Step-by-step explanation:
You can use the Pick's formula:
Where
- the number of lattice points inside the polygon
- number of lattice points on the border located on the perimeter of the polygon
From the picture we have:
Substitute:
<u>Given</u>:
A ball is kicked 4 feet above the ground with an initial vertical velocity of 55 feet per second.
The function represents the height h(in feet) of the ball after t seconds.
We need to determine the time of the ball at which it is 30 feet above the ground.
<u>Time:</u>
To determine the time that it takes for the ball to reach a height of 30 feet above the ground, let us substitute h(t) = 30, we get;
Adding both sides of the equation by 16t², we get;
Subtracting both sides of the equation by 55t, we have;
Let us solve the quadratic equation using the quadratic formula, we get;
The value of t is t = 0.6 because this denotes the time taken by the ball to reach a height of 30 feet from the ground.
Therefore, the time taken by the ball to reach a height of 30 feet above the ground is 0.6 seconds.
