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3 years ago

Find the midpoint of each given points (4,6),(1,5)

Mathematics

2 answers:

astraxan [27]3 years ago

8 0

Answer:

( 5/2) (11/2)

Step-by-step explanation:

as given

x1=4

x2=1

y1=6

y2=5

midpoint= (x1+x2/2 ) (y1+y2/2)

=( (4+1)/2 ) (6+5)/2)

=(5/2) (11/2) required midpoints

Sphinxa [80]3 years ago

7 0

(5/2,11/2) :))))))))))))))

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3 years ago

If a certain cannon is fired from a height of 8.8 meters above the ground, at a certain angle, the height of the cannonball ab

Dennis_Churaev [7]

Answer:

It would take approximately 6.50 second for the cannonball to strike the ground.

Step-by-step explanation:

Consider the provided function.

$h(t)=-4.9t^2+30.5t+8.8$

We need to find the time takes for the cannonball to strike the ground.

Substitute h(t) = 0 in above function.

$-4.9t^2+30.5t+8.8=0$

Multiply both sides by 10.

$-49t^2+305t+88=0$

For a quadratic equation of the form $ax^2+bx+c=0$ the solutions are: $x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Substitute a = -49, b = 305 and c=88

$t=\frac{-305+\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}=-\frac{-305+\sqrt{110273}}{98}\\t = \frac{-305-\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}= \frac{305+\sqrt{110273}}{98}$

Ignore the negative value of t as time can't be a negative number.

Thus,

$t=\frac{305+\sqrt{110273}}{98}\approx6.50$

Hence, it would take approximately 6.50 second for the cannonball to strike the ground.

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3 years ago

Josh and Anthony have a lemonade stand.They charge $1 for 2 cups of lemonade.They sell 14 cups each afternoon.Is it reasonable t

Rudik [331]

No it is not, whatsoever.

$1 for 2 cups. 14 cups in an afternoon means they got $7. If they did this for three days (7 x 3) they'd have 21 dollars. it is not reasonable because 21 is nowhere near 50.

Hope this helps

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3 years ago