3 years ago

Show how you can make ten to find the sum 9 + 2 equal

Mathematics

1 answer:

Fudgin [204]3 years ago

4 0

You can add 9+1 then make ten and add 10 +1

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The area of triangle formed by points of intersection of parabola y=a(x+5)(x−1) with the coordinate axes is 12. Find a if it is

Pie

We know that the points at which the parabola intersects the x axis are

(-5,0) and (1,0)

So the extent between these two points would be the base of the triangle

lets find the length of the base using the distance formula

$\sqrt{[(-5-1)^{2}+(0-0)^{2} ]}$

the base b=6

We will get the height of the triangle when we put x=0 in the equation

y=a(0+5)(0-1)

y=-5a

so height = -5a (we take +5a since it is the height)

We know that the area of the triangle =

$\frac{1}{2}$ × 6 × (5a) = 12

15a=12

a= $\frac{4}{5}$

7 0

3 years ago

What is the minimum force required to prevent a ball weighing 22.6 lb from rolling down a ramp which is inclined at 39.0 degrees

Alona [7]

The correct answer is 14.2 lb which is choice D.

Let:

F = minimum force required to prevent ball from rolling down the ramp

The formula will be:

F = w * sin theta

F = w * sin (39 degrees)

F = 22.6 * sin (39)
= 14.2 lb (this is rounded to the nearest tenth)