X = -2
Combine terms to get:
-18x - 5 = 31
Add 5 to both sides
-18x = 36
Divide by -18
x = -2
Answer:
D. No, because
and the
are not equal.
Step-by-step explanation:
Given:
Probability of doing yard work is, 
Probability of raining, 
Probability of doing yard work and it raining is, 
Now, two events A and B are independent if,

Conditional probability of event A given that B has occurred is given as:

So, 
Since,
, A and B are not independent events.
The measure of angle 7 is 61 degrees by the Alternate interior angles theorem.
The alternate interior angles theorem states that, the alternate interior angles are congruent when the transversal intersects two parallel lines. Hence, it is proved. Alternate interior angles can be calculated by using properties of the parallel lines.
Answer:
(1/2, 1)
2
Step-by-step explanation:
x² + y² − x − 2y − 11/4 = 0
x² − x + y² − 2y = 11/4
Complete the squares.
x² − x + 1/4 + y² − 2y + 1 = 11/4 + 1/4 + 1
(x − 1/2)² + (y − 1)² = 4
The center of the circle is (1/2, 1) and the radius of the circle is 2.
Answer:
y=2/3 x+2
Step-by-step explanation:
The equation of a linear graph is given as
y=mx+c
m is the slope of the line while c is the y intercept
As shown from the graph, the y-intercept is 2
The slope can be calculated by diving the height by the length:
2/3
y=2/3 x+2