Use vertical pipes around the value.
Example:
abs(-4) = |-4| = 4
9514 1404 393
Answer:
x = 7 1/3
Step-by-step explanation:
The smaller triangle is 6/9 = 2/3 the size of the larger triangle, so the left side is ...
(x -2) = (2/3)(8)
3(x -2) = 16 . . . . . multiply by 3 to clear fractions
3x -6 = 16 . . . . . . eliminate parentheses
3x = 22 . . . . . . . . add 6; next divide by 3*
x = 22/3 = 7 1/3 . . . . . feet
_____
* Note that we multiplied by 3, then divided by 3. If you're comfortable working with fractions and/or mixed numbers, these steps are unnecessary. The answer is simply x = 2 + 16/3 = 22/3.
<h3>
Answer: Choice B</h3>
Explanation:
Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.
Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.
Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.
Choice D is ruled out for similar reasoning as choice A. Recall that 
Factorizing an expression involves writing the expression in simpler forms
The values of z are
or 
The equation is given as:

Expand the equation

Factorize the expression:

Factor out z - 4

Split
or 
Solve for z
or 
Hence, the values of z are
or 
Read more about factorization at:
brainly.com/question/11579257
Answer:
21
Step-by-step explanation:
Let x be the amount of ticket for each game
Given
The expression 8x + 62 represents the total cost of the football game
The total coat for the.game will be
8(7)+62
= 56+62
= 118
If 9x + 34 represents the total cost of the baseball game. The total coat will be;
9(7)+34
= 63+34
=97
To know how much more football game costs, we will take the difference in their cost.
Difference = 118-97
Difference= 21
Hence football game costs 21 more than baseball