Answer:
Less than
Step-by-step explanation:
Its less than because the angle of LS is 98 while MS is 95, so LS is longer
Answer:
Factoring: y2-900
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 900 is the square of 30
Check : y2 is the square of y1
Factorization is : (y + 30) • (y - 30)
Answer:

Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
Let
y-------> the interest earned on an account
x------> the balance in the account
step 1
Find the constant k of proportionality
For 

substitute the values

The equation is

step 2
Find the amount of interest earned on an account with a balance of $500
so
For
substitute in the equation and solve for y

Answer:
Step-by-step explanation:

All the variables on the right are being multiplied together then the whole mess is being divided by 2. Let's get rid of the 2 first. The undoing of division is multiplication, so we will begin by multiplying both sides by 2 to get

Next we will move the m. The undoing of multiplication is division. So we divide both sides by m to get

The undoing of a square is to take the square root, so we will do that to both sides giving us, finally
The common way of transforming the general form to the standard form is by using the completing the square method. But there is also a neat shortcut to knowing the h, k and r values right away.
The general formula is:
x²+y²+Dx+Ey+F = 0
x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0
Solving for h:
-2h = 42
h = -21
Solving for k:
-2k = 38
k = -19
Solving for r:
-47 = (-21)² + (-19)² - r²
r = √849
Standard form of given circle is:
(x+21)² + (y+19)² = 849
Answers:
1) B
2) B
3) B
4) D