Answer:
p >5 or p <-8
Step-by-step explanation:
-6+|2p+3|>7
Add 6 to each side
-6+6+|2p+3|>7+6
|2p+3|>13
We get a positive and negative solution
2p +3 > 13 and 2p +3 < -13
Subtract 3 from each side
2p +3 -3> 13-3 or 2p +3-3 < -13-3
2p > 10 2p < -16
Divide by 2
2p/2 > 10/2 2p/2 <-16/2
p >5 or p <-8
Answer:
70707mmm = 111nnn
Step-by-step explanation:
Using the basic equation of a line:
y = mx + c;. where m is slope and c is intercept on y axis.
Let mmm = y and nnn = x
(i) 333 = 212121m + c
(ii) 555 = 353535m + c
Making c the subject of the formula in both (i) and (ii)
c = 333 - 212121m = 555 - 353535m
353535m -212121m = 555 - 333
141414m = 222
m = 111/70707
Substitute in (i) above
c = 333 -333 = 0
Hence; y = 111/70707x + c
Finally, mmm = 111/70707 nnn
i.e. 70707mmm = 111nnn
Hope this helps.
Answer:
There are 9 adults
Step-by-step explanation:
3:5 = x:15
3/5 = x/15
3(15) = 5x
5x = 45
x = 9 adults
3:5 = 9:15
Quadrant is III so, sign would be negative for Sec.
Now, we know, csc = H / P
So, H = 4, P = 3
Calculate for B,
B² = H² - P²
B² = 4² - 3²
B² = 16 - 9
B = √7
We know, sec Ф = H / B = 4 / √7
We can write it as: -4√7 / 7 [ -ve sign for 3rd quadrant ]
In short, Your Answer would be Option B
Hope this helps!
