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2 years ago

13

Point D is the in center of triangle ABC. Write an expression for the length x in terms of the three side lengths AB,

1 answer:

KiRa [710]2 years ago

6 0

Answer:

$x = \frac{2(A_T) }{(AB) + (AC) + (BC)}$

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in a AP the first term is 8,nth term is 33 and sum to first n terms is 123.Find n and common difference

allsm [11]

I believe there is no such AP...

Recursively, this sequence is supposed to be given by

$\begin{cases}a_1=8\\a_k=a_{k-1}+d&\text{for }k>1\end{cases}$

so that

$a_k=a_{k-1}+d=a_{k-2}+2d=\cdots=a_1+(k-1)d$

$a_n=a_1+(n-1)d$

$33=8+(n-1)d$

$21=(n-1)d$

$n$ has to be an integer, which means there are 4 possible cases.

Case 1: $n-1=1$ and $d=21$ . But

$\displaystyle\sum_{k=1}^2(8+21(k-1))=37\neq123$

Case 2: $n-1=21$ and $d=1$ . But

$\displaystyle\sum_{k=1}^{22}(8+1(k-1))=407\neq123$

Case 3: $n-1=3$ and $d=7$ . But

$\displaystyle\sum_{k=1}^4(8+7(k-1))=74\neq123$

Case 4: $n-1=7$ and $d=3$ . But

$\displaystyle\sum_{k=1}^8(8+3(k-1))=148\neq123$

8 0

3 years ago

in a cookie jar,1/5 of the cookies are chocolate chip and 1/2 of the rest are peanut butter.What fraction of all the cookies is

Tamiku [17]

If 1/5 are chocolate chip, then 4/5 are not chocolate chip because 1 - 1/5 = 4/5.

Half of 4/5 are peanut butter. Half of 4/5 is 2/5, so 2/5 of the cookies are peanut butter.

3 0

3 years ago

Victor plants 56 seeds in some flower pots if he puts 7 seeds in each pot how many flower pots does he have

Papessa [141]

Answer:

8

Step-by-step explanation:

The total seeds Victor plants in the flower pots=56

He puts 7 seeds in each pot.

So to find the number of pots;

You need to divide the total seeds(56) by the seeds put in each(7)

So it's going to be;

56÷7

=8

Therefore the total number of flower pots is 8.

8 0

2 years ago

The Beechcraft 1900D is a commuter airplane with a fuel capacity of 665 gallons. The function that represents how the amount of

nalin [4]

Given:

The function that represents how the amount of fuel changes as a function of distance flown is

$f(x)=-0.9x+665$

where x represents miles flown, and f(x) represents the amount of fuel remaining.

To find:

The rate of change for this scenario.

Solution:

The slope intercept form of a linear function is

$y=mx+b$ ...(i)

Where, m is the slope or rate of change and b is the y-intercept.

We have,

$f(x)=-0.9x+665$ ...(ii)

On comparing (i) and (ii), we get

$m=-0.9$

Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.

8 0

2 years ago

What is -2x-3=y in standard form

just olya [345]

<span>-2x-3=y in standard form
=
2x + y = -3

hope it helps</span>

6 0

3 years ago