Answer:
m = -22
Step-by-step explanation:
Formula for parabola in it's vertex form is given by;
y = a(x - h)² + k
Where (h, k) is the coordinate of the vertex.
We are told that vertex is at (-6, 6) and the roots are at 10 and m.
Thus;
y = a(x - (-6))² + 6
y = a(x + 6)² + 6
Since 10 is a root, thus;
0 = a(10 + 6)² + 6
-6 = 256a
a = -6/256
a = -3/128
Thus,the equation is;
y = (-3/128)(x + 6)² + 6
Since m is a root, then;
0 = (-3/128)(m + 6)² + 6
-6 = (-3/128)(m + 6)²
Rearranging, we have;
128 × 6/3 = (m + 6)²
256 = m² + 12m + 36
m² + 12m - 256 + 36 = 0
m² + 12m - 220 = 0
Using quadratic formula, we have;
m = 10 or -22
Answer:
The common ratio of the geometric sequence is:

Step-by-step explanation:
A geometric sequence has a constant ratio 'r' and is defined by

where
Given the sequence

Compute the ratios of all the adjacent terms: 

The ratio of all the adjacent terms is the same and equal to

Therefore, the common ratio of the geometric sequence is:
What question do you need help on?
Answer:
no
Step-by-step explanation:
4x +12 = 4
4(2) +12 =/= 4
8 +12 =/= 4
8 +12 = 20
(sorry if it doesn't make sense,I tried)
Converting a fraction into a decimal is dividing the fraction's numerator (the top number) by its denominator (the bottom number).
If you want to convert 3/8 into a decimal, divide 3 by 8. Because 8 can't go into 3, you have to add a zero to 3, making it 30. That's how you convert fraction to decimal.
To convert fraction to percent Divide the top of the fraction by the bottom,
Then multiply the result by 100.
Here u go