Answer:
H(M) = (1)M + 10
Step-by-step explanation:
If the plant will grow 1 centimeter every month, we can write an equation that relates the height of the plant with the number of months elapsed:
Let
H = height of the plant
M = number of months elapsed
H0 = initial height = 10cm
H (M) = (1)M + H0
H (M) = (1)M + 10
Where (1) is the constant rate of growth of 1 centimeter per month.
This is the equation of a line that intersects the H axis at H = 10.
In the attached figure the graph is shown.
Answer:
The solution set is {-2, 3}.
Step-by-step explanation:
We can do this by elimination after manipulating the 2 equations so that the coefficients of y will disappear after addition:
5x - 2y = -16 Multiply this by -5:
-25x + 10y = 80 ...........(A)
4x - 5y = -23 Multiply this by 2:
8x - 10y = -46..............(B)
Now add A and B:
-17x = 34
x = 34/-17
<u>x = -2</u>.
Now substitute x = -2 into the first original equation:
5(-2) - 2y = -16
-2y = -16 +10 = -6
y = -6/-2
<u>y = 3</u>.
Confirm these results by substitution in the second original equation:
4(-2) - 5(3)
= - 8 - 15 = -23.
Checks OK.
Answer:
Solution given:
Relationship between opposite and adjacent is given by tan angle
so
Tan 22=
doing crisscrossed multiplication
Tan 22*12=x
so
<u>x=4.84</u>