<h2>
Hello!</h2>
The answers are:
3. Addition property of equality
4. 
- Simplification
7. 
<h2>
Why?</h2>
To solve the problem, we need to start with the result of the second step:
So,
For the step 3:
Then, for the 3rd step, we have to apply the addition property of equality.
The addition property of equality states that if we add a term to one side of the equality, we need to add it to the other side of the equality, in order to not alterate the equality.
Then, applying the property, we have:
Adding 7 to both sides, we have:
For the step 4:
Now, for the 4th step, we have to simplify the expression:
Then, simplifying, we have:
For the step 7:
Simplificating, we divide each side of the equality by 6:
Have a nice day!
If:
Circumference, C = 3 cm
Then:
Radius, r = 0.47746482927569 cm
Diameter, d = 0.95492965855137 cm
Area, A = 0.71619724391353 cm
Answer:
11+6i
Step-by-step explanation:
We can start by combining like terms, the ones with i, and the ones with one as a factor. Since 3+8 is 11 and 4i+2i is 6i, our answer is C. 11+6i
The vertex is the high point of the curve, (2, 1). The vertex form of the equation for a parabola is
.. y = a*(x -h)^2 +k . . . . . . . for vertex = (h, k)
Using the vertex coordinates we read from the graph, the equation is
.. y = a*(x -2)^2 +1
We need to find the value of "a". We can do that by using any (x, y) value that we know (other than the vertex), for example (1, 0).
.. 0 = a*(1 -2)^2 +1
.. 0 = a*1 +1
.. -1 = a
Now we know the equation is
.. y = -(x -2)^2 +1
_____
If we like, we can expand it to
.. y = -(x^2 -4x +4) +1
.. y = -x^2 +4x -3
=========
An alternative approach would be to make use of the zeros. You can read the x-intercepts from the graph as x=1 and x=3. Then you can write the equation as
.. y = a*(x -1)*(x -3)
Once again, you need to find the value of "a" using some other point on the graph. The vertex (x, y) = (2, 1) is one such point. Subsituting those values, we get
.. 1 = a*(2 -1)*(2 -3) = a*1*-1 = -a
.. -1 = a
Then the equation of the graph can be written as
.. y = -(x -1)(x -3)
In expanded form, this is
.. y = -(x^2 -4x +3)
.. y = -x^2 +4x -3 . . . . . . same as above
Answer: <u><em>The first no. is 6 and the second no. is 4.</em></u>
Step-by-step explanation: Let the 2 no. s be x and y respectively.
→x+ 2y = 14
<em>→x-y = 2 </em>
<em>∴ x = 2+y</em>
<em>y = y</em>
∴ x+2y=14
= 2+y+2y=14
3y=14-2
3y=12 , y = 12/3=4
∴y = 4
→x = 2+y
= 2+4=6
∴x=6
<u><em>Thus, the first no. is 6 and the second no. is 4.</em></u>
