Basically, you know a parallelogram has 4 angles which all add up to 360 degrees. (3x+5)+(x+3y)+2x+70=360 degrees. Just solve for x and y
Answer:
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Step-by-step explanation:
Given
In 1990; Income= $39000
In 2010; Income= $70768
Solving (a): An equation in form of f(x) = ax + b
First, we need to determine the slope, a
Taking y as income and x as year index.
When x = 0; y = 39000
When x = 20; y = 70768
Substitute these values in the above formula
Next, is to determine the formula using:
<em>Considering :When x = 0; y = 39000, we have</em>
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<em>Make y the subject of formula</em>
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<em>Express y as a function of x</em>
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Solving (b): Income in 2005
<em>In 2005, x = 15</em>
So:
becomes
Answer:
Please check the answer below in detail.
Step-by-step explanation:
The correct form of the function is
Lets simplify
So, the function f(x) becomes
Use the exponent rule
The simplified form of the given function would be:
As domain is considered to be the set of all possible input values of x for which the function is defined.
So,
As range is the set of dependent variable for which the function is defined.
As
Therefore,
Graph is also attached from where you can observe all the key aspects which have been discussed above.
Keywords: domain, range, function, graph
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Answer:
All real numbers -----> <em>X=0</em>
Step-by-step explanation:
1) 3x + 6 = 3(2 + x) <em>Distribute the </em><em>3</em><em> on the right side</em>
2) 3x + 6 = 6 + 3x <em>Subtract </em><em>3x</em><em> from both sides</em>
3) 6=6 <em>Subtract </em><em>6 </em><em>from each side</em>
4) 0=0
5) <em><u>All real numbers</u></em>
I hope this helps you and good luck on your assignment.
Answer:
D. 2
Step-by-step explanation:
M(0,2b)
N(2a,0)
Then the midpoint P coordinates are
P\left(\dfrac{2a+0}{2},\dfrac{0+2b}{2}\right)\Rightarrow P(a,b)
Use distance formula to find OP and MN:
OP=\sqrt{(a-0)^2+(b-0)^2}=\sqrt{a^2+b^2}\\ \\MN=\sqrt{(2a-0)^2+(2b-0)^2}=\sqrt{4a^2+4b^2}=2\sqrt{a^2+b^2}
So,
MN=2OP
or
OP=1/2 MN
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