Answer:
The ac product of 
is <u>420</u>.
The factors of the ac product that add to 41 are <u>20</u> and <u>21</u>.
Step-by-step explanation:
1) The general form of a quadratic is 
. Hence, multiplying 35 by 12 gives you the product of ac, which is 420.
2) We need to find two numbers that multiply to 420 and add up to 41 <u>simultaneously</u>. If we pull out the factors of 420, two of them will be 20 and 21, which multiply to 420 as well as add up to 41.
3) Write 
as a sum.
Now, we can factor them out by grouping.
Since, 
is common in both of the factors, we only take one of the 
along with 
and 
.
I think it is 21+10=31...
Answer:
256
Step-by-step explanation:
Using the recursive formula and a₁ = 2, then
a₂ = a₁² = 2² = 4
a₃ = a₂² = 4² = 16
a₄ = a₃² = 16² = 256
Thus the 4 th term is 256
Lol, I think its 3.16 but I am not sure. :(
Answer:
y = ¹⁴/₄.x
Step-by-step explanation:
First of, if the bisector is perpendicular to the line segment, then we can find the gradient of the bisector (
) using the rule/principle:
Let:
m = gradient of the line segment
Then:
= 
We can find m since we have two points that fall on the line segment, (5, -9) and (-9, -5):
Δy/Δx
We can now find :
The equation of a line can be found using:
y - y₁ = m(x - x₁)
We have the gradient of the perpendicular bisector, the only other thing we need to identify the equation of the bisector is coordinates of a point that fall on the line;
We know the line will pass through the point exactly midway between (5, -9) and (-9, -5) since it is a bisector;
This can be found by:
We have a point on the line and the gradient so we can now find the equation:
