Hey there! How are you today?
First, when dealing with the Distributive Property, we always need to pay attention to what number/variable we are multiplying by.
The concept of the Distributive Property is to look at the number/variable outside of the parenthesis and then multiply it by all numbers/variables inside of the parenthesis individually, and then sum those products up.
If you're having trouble grasping this concept, here's an example:
Ex:
2(1 + 3)
Multiply the number outside of the parenthesis (2) by all numbers inside of the parenthesis (1 and 3) individually.
2*(1) + 2*(3)
Simplify the multiplication process.
2 + 6
Sum up our products.
8.
8 is our answer for this example.
Now that we've explained and practiced what we are working on, let's apply this concept to the real problem.
7(2x^2 + 9x - 3)
Multiply the number outside of the parenthesis (7) by all numbers/variables inside of the parenthesis (2x^2, 9x, and -3).
7(2x^2) + 7(9x) + 7(-3)
Simplify the first multiplication parenthesis.
7*2x^2 = 14x^2
Simplify the second multiplication parenthesis.
7*9x = 21x
Simplify the third and final multiplication parenthesis.
7*(-3) = -21 (When you multiply a positive by a negative, your product is negative).
Now, let's write down our final products as a whole answer. Remember to start from the highest exponent.
14x^2 + 21x - 21 is your final expression.
I hope this helps! Let me know if you have any questions or concerns down in the comment box below this answer, and I'll get back to you when I can.
Answer:
x = 130°
Step-by-step explanation:
At the points of Tangency, A and B, the angle formed are equal to 90° based on the tangent theorem.
Therefore, m<A and m<B both have a degree measure of 90° each.
Thus, the sum of the interior angles of quadrilateral AOBC = 360° (sum of interior angles of a quadrilateral).
Therefore:
x + m<A + m<B + m<C = 360°
x + 90 + 90 + 50 = 360 (substitution)
x + 230 = 360
x = 360 - 230 (subtraction property of equality)
x = 130°
Givens
Start = S = - 700
# Correct = C = 8
Value Correct = VC = 400
# Incorrect =I = 9
Value Incorrect =VI = - 600
Equation
Score = S + C*VC + I*VI Substitute
Solve
Score = -700 + 8*400 + 9(-600)
Score = -700 + 3200 - 5400
Score = - 700 - 2200
Score = - 2900 <<<<< Answer
According to this chart, the area of a circle with a diameter of <span>2.2 m is
area=(pi)(r)^2=</span><span><span>(pi)(d/2)^2</span>
= (pi)(2.2/2)^2
= 1.21 (pi) m^2</span>
