SOLUTION: Hi, This a a question for my assessment. A new excavation site fits a parabola with the equation y = x squared + 11x + 10 The hole must be more than 10 metres wide across the to

Question 591205: Hi, This a a question for my assessment.
A new excavation site fits a parabola with the equation y = x squared + 11x + 10
The hole must be more than 10 metres wide across the top for a bobcat to be able to dig it.
If the ground level is taken as the x-axis, is the hole able to be dug by a bobcat?
Use Mathematical procedures to explain why or why not
Thankyou

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
At "ground level" x is equal to zero.
Set x = 0 and solve for y:
y = x squared + 11x + 10
0 = x^2 + 11x + 10
0 = (x+10)(x+1)
x = {-10, -1}
the "distance" between the two points is 9 units
we must conclude that the answer is NO

RELATED QUESTIONS
A new excavation site that fits a parabola with the equation y =x squared +11x+10. The... (answered by josmiceli)

The method of tree ring dating gave the following years A.D. for an archaeological... (answered by rothauserc)

Hi my friend told me about this place and said you could help me i need to find a... (answered by Nate)

Hi Can someone help me with this question find the equation of the parabola that is a... (answered by greenestamps,ikleyn)

The equation of the line with y-intercept of 3 and perpendicular to the graph of 2x+y=5... (answered by ankor@dixie-net.com)

For each equation identify the direction of opening; step pattern (a * 1,3,5) and the... (answered by MathLover1)

Hello, I appreciate everyone help these last couple days as I get ready to take a math... (answered by jim_thompson5910)

The parabola defined by the equation y=x squared -10x+26 is shifted three units downward. (answered by Edwin McCravy)

Hi! I'm working on some Conic Section problems, and do ok when they are centered at zero. (answered by venugopalramana)