Answer:
B
Step-by-step explanation:
We are given that:
Are consecutive terms of an arithmetic sequence.
And we want to determine the common difference <em>d</em>.
Recall that for an arithmetic sequence, each subsequent term is <em>d</em> more than the previous term.
In other words, the second term is one <em>d</em> more than the first term. So:
And the third term is two <em>d</em> more than the first term. So:
We can isolate the <em>d</em> in the first equation:
As well as the second:
Then by substitution:
Solve for <em>x:</em>
<em />
<em />
<em />
The isolated first equation tells us that:
Therefore:
Our final answer is B.
Answer:
Step-by-step explanation:
we are given a quadratic equation
Let's assume formula of vertex form of parabola as
where vertex is (h,k)
we are given
vertex =(11,-2)
so, h=11, k=-2
now, we can plug it
now, we are given zeros at x=10 and x=12
we know that zeros will be x=10 , y is 0
so, we can plug x=10 and y=0 and solve for 'a'
now, we can plug it back
and we get
so, we get quadratic equation as
<span>–2.75 > –3
answer is </span><span>B. ></span>
Since the measurement of the longest side is missing we can use the pythagorean theorem to find the hypotenuse or longest side.
18^2 + 32^2 = c (hypotenuse) ^2
324 + 1,024 = c^2
1,348 = c^2
sqrt 1,348 = c
36.72 = c
i do not agree with ted because when you use the pythagorean theorem you do not get 47cm
this can be proved by
18^2 + 32 ^2 = 47^2
we already know the left side is 1,348
1,348 = 47^2
1,348 does not equal 2,209 which is 47 squared
