Answer:
Step-by-step explanation:
x intercepts are -3,-1
f(x)=-(x²+x+3x+3)=-(x²+4x)-3=-(x²+4x+4-4)-3=-(x+2)²+4-3
or f(x)=-(x+2)²+1
vertex is (-2,1)
so it is an inverted parabola with vertex (-2,1) and x-intercepts (-3,0) and (-1,0)
Answer:
120 degrees.
Step-by-step explanation:
The 5 exterior angles sum to 360 degrees.
So the 5th exterior angle = 360 - 4(60)
= 360 - 240
= 120 degrees.
Answer:
14.13 ft²
Step-by-step explanation:
The area of a semicircle is
We were given the radius of the semicircle to be: r=3 feet.
We were also asked to use π as 3.14.
We substitute into the formula to get:
This is the same as:
Or
The area of the semicircle is 14.13 ft²
The correct quadratic equation;
x2+7x-2=0
Working
Assuming the frame has a uniform thickness;
Then length of mirror and frame is 3+x and width 2+x
The area of mirror and frame area;
A=L*W
8=(3+x)(2+x)
8=(6+5x+x2)
Taking 8 to the Right hand side, we have:
x2+5x-2 =0
