Answer: c. 1 kilogram
Step-by-step explanation:
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
Well I do not see the figure but I will assume it is a triangle. there are 3 angles in a triangle. Those 3 angles add up to 180. Since we know this, you can use the equation
angle1 + angle2 + angle3 = 180
we have 2 of the angles so with a little algebra we can solve for the last angle like this
180 - angle1 - angle2 = angle3
plug in 2 angles
180 - 50 - 90 = angle3
So answer is
angle3 = 40 degrees
The solution to the given equation is x = -8
<h3>Solving Linear Equations</h3>
From the question, we are to determine value of x in the given equation
The given equation is
(x + 6)/x = 1/4
To solve the given equation, we would solve for the unknown variable x
(x + 6)/x = 1/4
First, multiply both sides of the equation by x
x + 6 = x × 1/4
x + 6 = x/4
Now, multiply both sides of the equation by 4
4(x + 6) = 4 × x/4
4x + 24 = x
Now, subtract x from both sides of the equation
4x - x + 24 = x - x
3x + 24 = 0
Subtract 24 from both sides of the equation
3x + 24 - 24 = 0 - 24
3x + 0 = -24
3x = -24
Divide both sides of the of the equation by 3
3x/3 = -24/3
x = -8
Hence, the solution to the given equation is x = -8
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The required set of coordinates with the match is shown.
Distance between points can be evaluated from the distance formula,
(3, 4) and (2, 1)
= √[(3-2)² + (4-1)²]
= √ 10
Similarly,
The points whose distance between them is √10 are,
(3, 4) and (2, 1)
(-2, 3) and (1, 2)
(-4, -2) and (-3, 1)
The points whose distance between them is √29 are,
(3, 7) and (5, 2)
(5,-2) and (3, 3)
(4, -1) and (-1, 1)
Thus, the required set of coordinates with the match is shown.
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