Answer:

Step-by-step explanation:
To factor the expression, remove the greatest common factor or GCF from each term. Both terms share in common xy. The expression becomes:

What remains in the parenthesis is a different of perfect squares. Factor the difference of perfect squares into two binomials of the form (x+a)(x-a) where a is the square root of
.
So the expression becomes:

Answer:
<h2>0.075</h2>
Step-by-step explanation:
<h2>0.25*0.3=0.075. That's the answer</h2>
Answer:
x=3
Step-by-step explanation:
Because it is equilateral, all the sides are equal. so you can make your equation
3(2x-3)=21
Distribute the 3 throughout, giving you 6x-3=21
Subtract the 3 from both sides, and you are left with 6x=18
Divide 18 by 6 and you get 3.
Answer:
Step-by-step explanation:
The diameter of the circle is the distance from the endpoint to another endpoint. The diameter of the given circle is segment PQ. To determine the diameter of the circle, we would apply the formula for determining the distance between two points on a straight line is expressed as
Distance = √(x2 - x1)² + (y2 - y1)²
Therefore,
Diameter = √(1 - - 3)² + (9 - 5)²
Diameter = √4² + 4² = √32
Radius = diameter/2 = √32/2
A circle is the set of all points in a plane equidistant from a fixed point called the origin or center.
The center of the circle is determined by applying the midpoint formula
(x1 + x2)/2, (y1 + y2)/2
= (- 3 + 1)/2, (5 + 9)/2
Center = (- 1, 7)
The formula for determining the equation of a circle us expressed as
(x - h)² + (y - k)² = r²
Where
r represents the radius of the circle
h and k represents the x and y coordinates of the center of the circle. Comparing with the given points,
h = - 1 and k = 7
Substituting into the formula, it becomes
(x - h)² + (y - k)² = r²
(x - - 1)² + (y - 7)² = (√32/2)²
(x + 1)² + (y - 7)² = 32/4
(x + 1)² + (y - 7)² = 8
Answer:
10,400 or 9360
Step-by-step explanation:
I'm currently doing permutations and combinations, actually I'm finishing it. I'm doing my test rn so I'm finishing geometry today for the whole grade. So I hope I got this right:
26*4*10*10 = 10,400
26 = 26 letters possible as to be the Capital letter
4 = 4 possible special characters
10 = 10 digits are possible, unless you can't repeat numbers, then it's:
26*4*10*9 = 9360