Answer:
A = 33.6 sq units
Step-by-step explanation:
A (trapezoid) = 1/2(4)(14+2) = 2(16) = 32
A (semi-circle) = π(1)/2 = 1.57
Answer:
Step-by-step explanation:
MP=27, MN=NO=OP=MP/3=27/3=9
LN=MP-2MN
LN=45-2(9)
LN=45-18
LN=27
Answer:
Time, t = 2 seconds
Step-by-step explanation:
The height of a flare fired from a 32-foot high platform can be modeled by the function :
Here, h is the height in feet above the ground and t is the time in seconds.
It is required to find the time taken by the flare to reach the ground. When its reaches ground, height covered by it equals 0 such that,
h = 0
Neglecting t = -1 seconds, the time taken by the flare to reach the ground is 2 seconds.
Answer:
y = -1/2x -3
Step-by-step explanation:
The steps to solve this include finding the slope of the line and finding the point where the line crosses the y axis.
Slope is Rise over Run or difference of the y values over the difference of the x values.
Rise = difference between -6 and -2 = 4
Run = difference between 6 and -2 = 8
So slope is 4/8. The line slants downward from left to right so the slope is also negative. Slope = - 4/8 or simplified to - 1 / 2
To find the y intercept, use the slope-intercept form equation:
y = mx + b where m is your slope and b is the y intercept. Solve for b and use one or both of your points that you were given along with your slope.
-6 = -1/2(6) + b OR -2 = -1/2(-2) + b
-6 = - 3 + b -2 = 1 + b
-3 = b -3 = b
Now you can use your calculated slope and calculated b to form your equation.
y = mx + b
y = - 1/2x -3
Answer: The answer would be B
<u>Write out the equation in slope-intercept form: </u>
y=-5/3x+6 (Once we know that, it'll be easier to convert it into standard form.)
<u>Subtract -5/3 from both sides of the equation:</u>
y+5/3x=6
<u>Subtract 6 from both sides:</u>
y+5/3x-6=0
<u>Multiply both sides by 3 to get rid of the fraction:</u>
3y+5x-18=0
<u>Then arrange the numbers to x and y are on one side by itself:</u>
3y+5x=18
<em>And that's your answer!</em>
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Hope this helped you!
