There are several information's of immense importance already given in the question. Based on those information's. the answer can be easily deduced.
We already know that
y = mx + b
Then
Slope for GH = (6 - 2)/(- 2 - 2)
= - 1
We already know that parallel lines have the same slope
Then
<span>6 = -1(5) +b
</span>6 = - 5 + b
b = 11
Then, the equation is
y = x + 11
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the last option or the fourth option.
B is false, since by the inclusion/exclusion principle,

By independence, we have
, which is zero if either of
or
is 0, which isn't guaranteed.
He should use the Pythagorean Theorem to find the missing length.
Since KT is tangent to the circle and TL reaches the center of circle L, the measure of angle LTK is 90 degrees. This means that triangle LTK is a right triangle which means the Pythagorean Theorem can be used.
So,
TL²+(12)²=(13)²
=> TL²+144=169
=> TL²=25
=> TL = 5
Therefore, the radius of circle L is 5 feet.
Answer:
197.6
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write expression
13[62 ÷ (52 - 42) + 9]
Step 2: Brackets - Parenthesis (Subtract)
13[62 ÷ 10 + 9]
Step 3: Brackets - Division
13[6.2 + 9]
Step 4: Brackets - Addition
13[15.2]
Step 5: Multiply
197.6
Step-by-step explanation:
y = 4x + 1 and y = -2x + 4
4x + 1 = -2x + 4, 6x = 3, x = 0.5
When x = 0.5, y = 4(0.5) + 1 = 3.
The point of intersection is (0.5, 3). (B)