Answer:
7.2
Step-by-step explanation:
First differences:
0.8-0.2, 1.8-0.8, 3.2-1.8, 5.0-3.2
0.6, 1.0, 1.4, 1.8
Second differences:
1.0-0.6, 1.4-1.0, 1.8-1.4
0.4, 0.4, 0.4
For the next term, add 0.4 to the last term from the first differences, and add the sum to the last term of the quadratic sequence:
0.4+1.8=2.2
2.2+5.0=7.2
∴ The next term in the sequence is 7.2
Answer:
Eq: (x+a/2)²+(y+1)²=(a²-8)/4
Center: O(-a/2, -1)
Radius: r=0.5×sqrt(a²-8)
Mandatory: a>2×sqrt(2)
Step-by-step explanation:
The circle with center in O(xo,yo) and radius r has the equation:
(x-xo)²+(y-yo)²=r²
We have:
x²+y²+ax+2y+3=0
But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4
And
y²+2y+3=y²+2y+1+2=(y+1)²+2
Replacing, we get:
(x+a/2)²-a²/4+(y+1)²+2=0
(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4
By visual inspection we note that:
- center of circle: O(-a/2, -1)
- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)
She would have 88 papayas if she had 12 lemons
Anwers:
1. line A
2. line D
3. line B
4. line C
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the original function:
f(x) = 10x
and g(x) = a · 10x is the general from of all transformed functions from the above original function.
The graph of this function is stretched vertically => line A
The graph of this function is stretched vertically and is reflected through the x-asix => line D.
The graph of this function is compressed vertically => line B
The graph of this function is compressed vertically and is reflected through the x-asix => line C
Hope it will find you well.
Answer:
The length of the missing leg is six
Step-by-step explanation:
Assuming that this is a right triangle, you can use the Pythagoras theorem
12^2+x^2=sqrt180^2
144+x^2=180
x^2=36
x=6
Therefore, the length of the missing leg is six.