Answer:
Left 4 units.
Step-by-step explanation:
g(x) = x^2 + 8x + 16 Factoring:
g(x) = (x + 4)^2.
So to obtain g(x) from f(x) = x^2, f(x) must be shifted 4 units to the left.
Answer:
See below.
Step-by-step explanation:
I will assume that 3n is the last term.
First let n = k, then:
Sum ( k terms) = 7k^2 + 3k
Now, the sum of k+1 terms = 7k^2 + 3k + (k+1) th term
= 7k^2 + 3k + 14(k + 1) - 4
= 7k^2 + 17k + 10
Now 7(k + 1)^2 = 7k^2 +14 k + 7 so
7k^2 + 17k + 10
= 7(k + 1)^2 + 3k + 3
= 7(k + 1)^2 + 3(k + 1)
Which is the formula for the Sum of k terms with the k replaced by k + 1.
Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.
But the formula is true for 1 term because 7(1)^2 + 3(1) = 10 .
So it must also be true for all subsequent( 2,3 etc) terms.
This completes the proof.
6 has the same place value as the 7
<h2>
Explanation:</h2><h2>
</h2>
The diagram for this problem is shown below. Point E is the intersection of the two diagonals and we know that:
Every internal angle of any rectangle measures 90 degrees, so:
So:
So the measure of angle BEC can be found as follows:
We know that triangle ΔCEB is an isosceles triangle because the diagonals of any rectangle measure the same. So
The sum of internal angles of any triangle add up to 180 degrees, so:
Amswer
it is b Step-by-step explanation:
