Answer: three pieces.
The piece of wood is 6/8 inches long - this fraction can be simplified to 3/4 by dividing both the numerator and denominator by 2.
Thus, he cuts a piece of wood that is 3/4 inches long into 1/4 inch pieces.
1 goes into 3 three times, so the piece of wood can be cut into three 1/4-inch pieces.
(3x+4)+(5x2-1)+(2x+6)
remove unnecessary parenthesis
3x+4+(5x2-1)+(2x+6)
3x+4+(10-1)+2x+6
subtract the numbers
3x+4+9+2x+6
collect the like terms
5x+4+4+9+6
5x+19
<em><u>Question:</u></em>
Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?
1s
2s
3s
4s
<em><u>Answer:</u></em>
It takes 2 seconds for object to hit the ground
<em><u>Solution:</u></em>
<em><u>The given equation is:</u></em>
Initial velocity = 27 feet/sec
Therefore,
At the point the object hits the ground, h(t) = 0
Solve by quadratic formula,
Ignore, negative value
Thus, it takes 2 seconds for object to hit the ground
Answer:
dy/dx = -b/a cot α
Step-by-step explanation:
x² / a² + y² / b² = 1
Take derivative with respect to x.
2x / a² + 2y / b² dy/dx = 0
2y / b² dy/dx = -2x / a²
dy/dx = -b²x / (a²y)
Substitute:
dy/dx = -b²a cos α / (a²b sin α)
dy/dx = -b cos α / (a sin α)
dy/dx = -b/a cot α
Answer:
x= - 9/28 ± √60/7
Step-by-step explanation:
