Simplify both sides of the inequality.
−16x+8<2x+5
Subtract 2x from both sides.
−16x+8−2x<2x+5−2x
−18x+8<5
Subtract 8 from both sides.
−18x+8−8<5−8
−18x<−3
Divide both sides by -18.
−18x/−18 < −3/−18
x>16
Ans : x > 16
Answer: 147
Step-by-step explanation:
First, 9 x 4 = 36
Again, 9 x 4 = 36
Finally 15 x 5 = 75
So, 36 + 36 + 75 = 147
Answer:
a) 
b) 
Step-by-step explanation:
If each curved path has 52% of the previous height this means that 
Then the radius of convergence is 0.52 and this is a geometric series.
The geometric series have the form:

Where
is the first term of the series and r is the radius of convergence.
In this problem
meters = 50 cm

a) Then the rule for the sequence is:

b) we must calculate

Given:
The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).
To find:
The type of the given triangle.
Solution:
Distance formula:

Using the distance formula, we get





Similarly,





And,





Two sides of the triangle are equal, i.e.,
. So, the triangle is an isosceles triangle.
Sum of square of two smaller side is




Using the Pythagoras theorem, we can say that the given triangle is a right triangle.
Therefore, the correct options are B and F.
Answer: 50w+150>650
w>10
Step-by-step explanation: Subtract 150 on both sides, leaving 50w>500. Divide both sides by 50 to get w>10