The factors are
(x-y)(x-y)
or
(x-y)^2
Explanation:
We need to factor the trinomial
x^2-2xy+y^2
The factors of x^2 = (x)(x)
The factors of y^2 = (y)(y)
Since the second sign is positive we are adding the factors meaning the signs of the factors need to be the same. Since the first sign is negative both signs must be negative.
The factors are
(x-y)(x-y)
or
(x-y)^2
Check by FOIL
Firsts (x)(x) = x^2
Outers (x)(-y) = -xy
Inners (-y)(x) = -xy
Lasts (-y)(-y) = y^2
combine the middle terms
(-xy)+(-xy) = -2xy
<span>x^2-2xy+y^2</span>
T=number of hours she tutors.
r=number of hours she works a receptionist.
Tori is only able to work up to 20 hours per week.
t+r≤20
She tutors for $30 per hour and works as a receptionist for $10 per hour. She must earn at least $200 per week.
30t+10r≥200
Answer: t+r less than or equal to 20; 30t+10r greater than or queal to 200.
t+r≤20
30t+10r≥200
6 semicircles = 3 circles
The formula of the area of a equilateral triangle:
We have a = |AE| = 3cm. Substitute:
The formula of the area of a circle:
We have 2r = |AE| =3cm → r = 1.5cm. Substitute:
The area of the figure:
The given equation is:
ax + by = 12
We are given that the two points (6,0) and (3,2) belong to this line. This means that these two points satisfy the equation of the line.
Therefore, to get the value of a and b, we will substitute with the given points in the equation and solve the resulting equations for a and b as follows:
For the point (6,0):
ax + by = 12
a(6) + b(0) = 12
6a = 12
a = 12/6 = 2
For point (3,2):
ax + by = 12
(2)(3) + b(2) = 12
6 + 2b = 12
2b = 12-6 = 6
b = 3
Based on the above calculations:
a = 2 and b = 3, therefore, the equation is:
2x + 3y = 12
Answer: z = -19.5
Step-by-step explanation:
-6.5 = z/3
-19.5 = z Multiply 3 to both sides
