Answer:
Step-by-step explanation:
Start by factoring out a -1...
Now, we have to find two integers that multiply to get -16 and have a sum of 6:
(-2)*8=-16
-2+8=8-2=6
Using this, we can split 6x into -2x and 8x...
Factor the first and second half separately...
![f(x)=-[(x^2-2x)+(8x-16)]\\f(x)=-[x(x-2)+8(x-2)]\\](https://tex.z-dn.net/?f=f%28x%29%3D-%5B%28x%5E2-2x%29%2B%288x-16%29%5D%5C%5Cf%28x%29%3D-%5Bx%28x-2%29%2B8%28x-2%29%5D%5C%5C)
Since both x and 8 are being multiplied by x-2, we can combine them to get...
The distance is 19 yards or 18.9 yards:
because tan(10)=opposite/adjacent=3.33/x and x is distance
x=3.33/tan(10)=18.9 yd
Well first you have to simplify the denominators with x, by multiplying the denominator on the left times the top and bottom of the middle, and vice versa to get 10x/(4x^2-4x)-9(2x-2)/(4x^2-4x)=-1/4 and then you combine the fractions on the left to get 2(9-4x)/(4x^2-4x)=-1/4 and then you cross multiply the fractions to get 8(9-4x)=-4x^2+4x and then simplify to get 72-32x=-4x^2+4x and then 4x^2-36x+72=0 which then we can turn into 4(x-6)(x-3)=0 so x is 6 and 3
Answer:
The arc length of a circle is 3.14 m or 1π m
Step-by-step explanation:
First of all we have to calculate the circumference of the circle and then extract the portion that corresponds to 90°
To solve this exercise we need to use the circumference formula of a circle:
c = circumference
r = radius = 2m
π = 3.14
c = 2π * r
we replace the known values
c = 2 * 3.14 * 2m
c = 12.56m
As we know a circle is represented with 360 ° and they tell us that the angle is 90 °, so we have to know the relationship with respect to the total
90° / 360° = 1/4
Now we multiply this number by the circumference and we will obtain the length of the arc
12.56m * 1/4 = 3.14
The arc length of a circle is 3.14 m or 1π m
Answer:
5 - 7
Step-by-step explanation:
a - b
5 - 7 = -2
