Answer:
x=4
Step-by-step explanation:
4(3+2x)+2=46
12+8x+2=46
12+8x=44
8x=32
x=4
Answer:
P'(7,0)Q'(2,1) R'(12,-6)
Step-by-step explanation:
P(3,5)------>P'(3+4,5-5)
P'(7,0)
Q(-2,6)----->Q'(-2+4,6-5)
Q'(2,1)
R(8,-1)------>R'(8+4,-1-5)
R'(12,-6)
<em><u>Complete Question:</u></em>
A colony of flowers is pollinated by hummingbirds and sunbirds. Let H represents the number of hummingbirds and S represent the number of sunbirds that must pollinate the colony so it can survive until next year.
6H+ 4S> 74
This year, 8 hummingbirds pollinated the colony. What is the least number of sun birds that must pollinate the colony to ensure that it will survive until next year?
<em><u>Answer:</u></em>
The least number of sun birds is 7
<em><u>Solution:</u></em>
Given inequality is:
6H + 4S > 74
Where,
H is the number of hummingbirds
S is the number of sunbirds
This year, 8 hummingbirds pollinated the colony
Substitute H = 8 in given inequality
6(8) + 4S > 74
48 + 4S > 74
Subtract 48 from both sides
48 + 4S - 48 > 74 - 48
4S > 26
Divide both sides by 4
S > 6.5
Hence the least number of sun birds is 7
It C)
This is because the sum of the two smaller sides in a triangle has to be larger than the bigger sides. 10+12=22.
22 is smaller than 24 which is the third side this no triangle is formed