Answer:
2
Step-by-step explanation:
f(x)=2x^2+9x-5
When we are find how many times it intersects the x axis, we are finding the zero's. Set the equation equal to zero
0=2x^2+9x-5
Factor the equation
0 = (2x+1) (x-5)
2*1
1*-5 = -5
2*-5 +1*1 = -9
This checks for the first last and middle terms so we factored correctly
Then using the zero product property
2x+1 = 0 and x-5 =0
2x = -1 x=5
x = -1/2 and x=5
This function crosses the x axis 2 times
We know that
<span>the sum of the internal angles of a triangle is 180 degrees
</span>so
(2x-5)+(4x-1)+30=180
6x+24=180
6x=156
x=26°
the answer is
x=26°
The circumference= 186000000π miles and the speed or the earth is 7750000π miles per hour.
Step-by-step explanation:
Radius (r) = 93000000 miles
a) circumference= 2πr
= 2π(93000000) miles
= 186000000π miles
b) speed = distance / time
Here distance is the circumference and time is 24hrs because if the earth completes 1 revolution around the sun in 24hrs.
Speed = 186000000π/24
= 7750000π miles per hour
The last option is the answer. You can double check by substituting the -3 for the x values and the 17 for y values and the statements would be true.
