Answer:
47
Step-by-step explanation:
x-5=42
x=42+5
x=47
Answer/Step-by-step explanation:
1. x*21 = 24*14 (intersecting chords theorem)
21x = 336
x = 336/21
x = 16
2. 27*x = 45² (secant-tangent rule)
27x = 2,025
x = 2,025/27
x = 75
3. (x + 5)*5 = (4 + 6)*6 (Intersecting secants theorem)
5x + 25 = (10)*6
5x + 25 = 60
5x = 60 - 25
5x = 35
x = 35/5
x = 7
4. (4x + 2)*8 = (5x + 1)*7
32x + 16 = 35x + 7
Collect like terms
32x - 35x = -16 + 7
-3x = -9
x = -9/-3
x = 3
In figure 1 there are 7 squares, in figure 2 there are 10 squares, figure 3 there are 13 squares. in each figure you are just adding 3. (try to find the patterns.) The equation representing the figures is x+3=y.
Answer:
a) 40 dollars
b) 480 dollars
Step-by-step explanation:
Given the average property tax on a three bedroom home in a certain community modelled by the equation T(x) =20x²+40x+600, the rate at which the property tax is increasing with respect to time in 2008 can be derived by solving for the function T'(x) at x=0
T'(x) = 2(20)x¹ + 40x° + 0
T'(x) = 40x+40
At x = 0,
T'(0) = 40(0)+40
T'(0) = 40
Hence the property tax was increasing at a rate of 40dollars with respect to the initial year (2008).
b) There are 4 years between 2008 and 2012. To know how much that the tax change between the years 2008 and 2012, we will find T(4) - T(0)
Given T(x) =20x²+40x+600
T(4) =20(4)²+40(4)+600
T(4) = 320+160+600
T(4) = 1080 dollars
Also T(0) =20(0)²+40(0)+600
T(0) = 0+0+600
T(0)= 600 dollars
T(4) - T(0) = 1080 - 600
T(4) - T(0) = 480 dollars
Hence, the tax has changed by $480 between 2008 and 2012
Answer:its \pi r^{2}h
Step-by-step explanation:did this before
