Answer:
The y-intercept and x-intercept of the line are 2 and -4 respectively.
Step-by-step explanation:
Given equation of line -x + 2y = 4
We have to find the y-intercept and x-intercept of the line.
Consider the given equation of line -x + 2y = 4
the y-intercept of line is the point where the line touches y axis and we know at y axis the coordinate of x is 0.
Thus, putting x = 0 in line equation , we get,
-(0) + 2y = 4
⇒ y = 
⇒ y = 2
the x-intercept of line is the point where the line touches x axis and we know at x axis the coordinate of y is 0.
-x + 2(0) = 4
⇒ x = - 4
Thus, the y-intercept and x-intercept of the line are 2 and -4 respectively.
Using trial and error
x^4+5x^2-36 factors to (x-2)(x+2)(x^2+9)
2x^2+9x-5 factors to (x+5)(2x-1)
so
(x-2)(x+2)(x^2+9)(x+5)(2x-1)=0
set each to zero
x-2=0
x=2
x+2=0
x=-2
x^2+9=0
x^2=-9
x=3√-1
x=3i
x+5=0
x=-5
2x-1=0
2x=1
x=1/2=0.5
roots are
x=-5-2,0.5,2, and the imaginary root 3i
Answer:
8π
Step-by-step explanation:
If we are given the diameter of this circular fence, then we can solve for the radius. Just take the diameter of 4 and divide by 2 which is 2.
The circumference of a circle is 2πr²
Just plug in the variables and you get 2π(2)² which is 8π
Hope this helps! :)
Answer & Step-by-step explanation: 4.58
<em>PEMDAS:</em>
<em>Parenthesis first! (8 + 7 + 3.3) = 18.3</em>
<em>Exponents second! </em>
<em> = 1/4 = 0.25</em>
<em>Multiply third and solve! 18.3 x 0.25 = 4.575</em>
<em>Round if needed! </em><em>4.575</em><em> = </em><em>4.58</em><em> = </em><em>4.6</em><em> = </em><em>5</em>
The tree that casts a 48 foot shadow is 24 feet
