28.) -3 | r + 4| = -21...divide both sides by -3
| r + 4 | = -21/-3
| r + 4 | = 7
r + 4 = 7 -(r + 4) = 7
r = 7 - 4 -r - 4 = 7
r = 3 -r = 7 + 4
-r = 11
r = -11
solution is : r = 3 or r = -11
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32. ) 4| 7y + 2 | - 8 = -7....add 8 to both sides
4 | 7y + 2 | = -7 + 8
4| 7y + 2 | = 1 ...divide both sides by 4
| 7y + 2 | = 1/4
7y + 2 = 1/4 -(7y + 2) = 1/4
7y = 1/4 - 2 -7y - 2 = 1/4
7y = 1/4 - 8/4 -7y = 1/4 + 2
7y = -7/4 -7y = 1/4 + 8/4
y = -7/4 * 1/7 - 7y = 9/4
y = - 7/28 reduces to - 1/4 y = 9/4 * -1/7
y = - 9/28
solution is : y = -1/4 or y = -9/28
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34.) I cant see this one
Answer: m=4
Step-by-step explanation:
To find the slope, we use the formula 
. We can use the two points to find the slope. The points on the graph are (-2,1) and (-3,-3).
Answer:
the domain is that x is a set of real numbers.
the range is y ≤ -3
Step-by-step explanation:
y = -|x + 3|
y is either positive or equal to zero.
Now, x is all real numbers because any value of x used will yield a valid value of y.
Thus, we can say that the domain is that x is a set of real numbers.
Now, for the range:
The minus sign in front of the absolute value indicates that the function has a maximum value.
Thus, the range is y ≤ -3
Answer:
x = 20°
Step-by-step explanation:
The angle opposite to 3x + 20 is also 3x + 20 (opposite interior angles)
The angle opposite to 5x is also 5x (opposite interior angles)
Solve:
Set up the equation by adding all the angles. The sum of these angles should equal 360.
- (3x + 20) + (3x + 20) + (5x) + (5x) = 360
- 16x + 40 = 360
- 16x = 320
- x = 20
x = 20°
-Chetan K
Answer:
Exact Form:
- 31/80
Decimal Form:
-0.3875
Step-by-step explanation:
hope this helps
sorry if wrong
