Okay , wheres the questions at tho...?
Answer:
-22
Step-by-step explanation:
The blue dot on the number line is 4 units below -10. The number -16 is also labeled, but it is instead just 2 units below -10. If -16 is 2 units below -10, then 2 units is equal to a distance of 6, which means 1 unit is equal to a distance of 3. Because the blue dot is 4 units below -10, the blue dot is 12 less than -10, meaning that the blue dot is at -22.
Answer:
See answers and explanations below (along with a visual graph)
Step-by-step explanation:
For the function
:
Amplitude: 
Period: 
Phase shift: 
Vertical shift: 
Therefore, for
:
Amplitude:
, which is 2 units above and below the midline (see d)
Period:
, so the cycle will repeat every 3π units
Phase shift:
, or π units to the left
Vertical shift:
, or 1 unit down
Answer: So lets say that the width is w. The length(L) is 4 meters greater than 3 times the width. 3 times the width would be 3w, and then 4 meters greater than that would be 3w+4. You have two widths and two lengths to a rectangle that must add up to equal 72. So 2w + 2L =72. But remember that one L equals 3w+4
2(w) + 2(3w+4) = 72
2w+6w+8=72
8w+8=72
8w=64
w=8
L=3w+4
L=3(8)+4
L=24+4
L=28
So the dimensions are 8 meters by 28 meters
To check 2(8)+2(28)=72
8. complementary angles = 90°
3x+3+10x-4 = 90
13x-1 = 90
13x = 91
so x = 91/13= 7
then K = 3(7)+3 = 24°
so L = 10(7)-4 = 70-4 = 66°
9. P is three less than twice of Q
so P = 2Q-3
supplementary angles = 180°
P+Q = 180
(2Q-3)+Q = 180
3Q-3 = 180
3Q = 183
so Q = 183/3 = 61°
then P= 2(61)-3 = 122-3 = 119°
10. B is two more than three times of C so B= 3C+2
complementary angles = 90°
B+C= 90
(3C+2)+C=90
4C+2=90
4C= 88
so C= 22°
then B = 3(22)+2= 66+2 = 68°