Answer:
<em>x=-6, x=1</em>
Step-by-step explanation:
<u>The zero product property</u>
It states that if a.b=0, then it must be satisfied that a=0 or b=0. It's commonly used to solve equations where one of the sides is 0.
The given equation is:
(x+2)(x+3)=12
Since neither side is 0, we operate the expression:
x^2+3x+2x+6=12
Moving 12 to the left side and simplifying:
x^2+3x+2x+6-12=0
x^2+5x-6=0
Factoring:
(x+6)(x-1)=0
Now, since there is zero on the right side, we apply the property to solve:
x+6=0, or x-1=0
The two solutions come directly:
x=-6, x=1
it turned 90° clockwise
Step-by-step explanation:
if you look on a clock or watch face 45 minutes to o'clock is a quarter of the whole face. there are 360° in a circle and a quarter of that is 90°
Answer:
$4,230
Step-by-step explanation:
There are 846 puzzles sold and including tax, it is $5 per puzzle. Multiply the amount of puzzles by cost and you get the total cost of all puzzles sold including tax.
Answer:
The equation of the circle is
(x + 2)² + (y + 2)² = 9
Centered at (-2, -2), with radius of 3 units.
Step-by-step explanation:
The general equation of a circle is given as
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle, and r is the radius.
Looking at the graph, the center is the red dot. It corresponds to -2 on the y-axis, and -2 on the x-axis. So, the center (h, k) is (-2, -2).
The radius is the distance from the center of the circle to the edge of the circle. The red dot is the edge of the circle, there are 3 lines that represent 3 units, so we have a radius of 3 units.
Using these in the general equation, we have
[x - (-2)]² + [y - (-2)]² = 3²
(x + 2)² + (y + 2)² = 9
And this is the equation.
