12 m 3 m 3 m 8 m 8 m
2 answers:
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Answer:
The roots are:
and 
Explanation:
First, we will need to expand the bracket on the left and then put teh equation i standard form which is:
ax² + bx + c = 0
This can be done as follows:
(x+5)² = 10
(x)² + 2(x)(5) + (5)² = 10
x² + 10x + 25 - 10 = 0
x² + 10x + 15 = 0
By comparison, we can find that:
a = 1
b = 10
c = 15
Now to get the roots, we would need to use the quadratic formula shown in the attached image.
By substitution, we would find that:
either x =
or x =
Hope this helps :)
The roots are:
Explanation:
First, we will need to expand the bracket on the left and then put teh equation i standard form which is:
ax² + bx + c = 0
This can be done as follows:
(x+5)² = 10
(x)² + 2(x)(5) + (5)² = 10
x² + 10x + 25 - 10 = 0
x² + 10x + 15 = 0
By comparison, we can find that:
a = 1
b = 10
c = 15
Now to get the roots, we would need to use the quadratic formula shown in the attached image.
By substitution, we would find that:
either x =
or x =
Hope this helps :)
We can model this situation with a linear equation. We know for our problem that the initial point is (0, 25), and the next point is (10, 108.4). To relate those points and find the slope of our linear equation, we are going to use the formula: 
. Notice that we know from our points that: 
, 
, 
, and 
. So, lets replace those values in our formula to find 
:
Now that we have the slope of our linear equation, we can use the point slope formula:
to complete our linear equation:
Or in function notation:
We can conclude that the equation that matches this situation is.
Now that we have the slope of our linear equation, we can use the point slope formula:
Or in function notation:
We can conclude that the equation that matches this situation is