November 20, 2019 - October 19, 2020 is 334 days
Sin(180°) = 0
sec(0°)=1
4(0)+2(1)=2
Step-by-step explanation:
Using the vertical line test, we can see which lines are functions, and which are not. If a vertical line were to hypothetically appear, would it touch more than one part of the line? If so, it is not a function.
The lines outlined in a black box are the correct answers.
Answer:
<u>The correct answer is D. x + 5≤ - 4</u>
Step-by-step explanation:
Let's review which inequality has - 12 in its solution set, this way:
A. x + 6 less-than negative 8
-12 + 6 < - 8
-6 < - 8 Not correct
B. x + 4 greater-than-or-equal-to negative 6
- 12 + 4 ≥ - 6
- 8 ≥ - 6 Not correct
C. x minus 3 greater-than negative 10
- 12 - 3 > - 10
<u>- 15 > - 10 Not correct</u>
D. x + 5 less-than-or-equal-to negative 4
- 12 + 5 ≤ - 4
- 7 ≤ - 4 This is correct
<u>The correct answer is D. x + 5≤ - 4</u>
Solve for x:
-3 (3 x + 15) - (x + 10) = 35
-3 (3 x + 15) = -9 x - 45:
-9 x - 45 - (x + 10) = 35
-(x + 10) = -x - 10:
-9 x + -x - 10 - 45 = 35
Grouping like terms, -x - 9 x - 45 - 10 = (-9 x - x) + (-45 - 10):
(-9 x - x) + (-45 - 10) = 35
-9 x - x = -10 x:
-10 x + (-45 - 10) = 35
-45 - 10 = -55:
-55 - 10 x = 35
Add 55 to both sides:
(55 - 55) - 10 x = 55 + 35
55 - 55 = 0:
-10 x = 35 + 55
35 + 55 = 90:
-10 x = 90
Divide both sides of -10 x = 90 by -10:
(-10 x)/(-10) = 90/(-10)
(-10)/(-10) = 1:
x = 90/(-10)
The gcd of 90 and -10 is 10, so 90/(-10) = (10×9)/(10 (-1)) = 10/10×9/(-1) = 9/(-1):
x = 9/(-1)
Multiply numerator and denominator of 9/(-1) by -1:
Answer: x = -9
