9514 1404 393
Answer:
- area: 114 square units
- perimeter: 44 units
Step-by-step explanation:
The figure is a trapezoid with bases 12 and 7, and a height of 12. The area formula is ...
A = (1/2)(b1 +b2)h
A = (1/2)(12 +7)(12) = 114 . . . square units area
__
The length of side AB can be found using the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((6 -(-6))^2 +(1 -6)^2) = √(144 +25) = 13
The sum of the side lengths is then ...
13 +7 +12 +12 = 44 . . . units perimeter
Answer:
$3.75
Step-by-step explanation:
$12.50-$8.75=$3.75
Hope this helps!
Answer:
A) (x-3) is not a factor of x^3+4x^2+2
Step-by-step explanation:
(x-3) is a factor of f(x)=x^3+4x^2+2 if f(3)=0. This is by factor theorem.
So let's check it.
f(x)=x^3+4x^2+2
f(3)=3^3+4(3)^2+2
f(3)=27+4(9)+2
f(3)=27+36+2
f(3)=63+2
f(3)=65
Since f(3) doesn't equal 0, then x-3 is not a factor.
We have that
(x + 3)² + (y - 2)² = 36----------> (x + 3)² + (y - 2)² = 6²
we know that
the equation of a circle is of the form
(x-h)²+(y-k)²=r²
where (h,k) is the center and r is the radius
in this problem
the center of the circle is the point (-3.2) and the radius is r=6 units
so
if <span>shifting a circle right 3 units
then
the center will be-----> (-3+3,2)-------> (0,2)
therefore
the answer is the option
</span><span>B.The x-coordinate of the center of the circle increases by 3.</span>
Answer:
1. y=-x-4
2.y=-x-4
Step-by-step explanation:
They are the same
