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nataly862011 [7]
3 years ago
15

Find a polynomial function that has the given zeros. (there are many correct answers.) −9, 5

Mathematics
1 answer:
Artist 52 [7]3 years ago
8 0

(x + 9)(x - 5) =  {x}^{2}  + 4x - 45
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Compute a · (b ✕ c), where a = i − 3j + k, b = 4i + j + k and c = 9i − j + 3k.
grandymaker [24]
\mathbf a=\mathbf i-3\,\mathbf j+\mathbf k
\mathbf b=4\,\mathbf i+\mathbf j+\mathbf k
\mathbf c=9\,\mathbf i-\mathbf j+3\,\mathbf k

\mathbf b\times\mathbf c=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\4&1&1\\9&-1&3\end{vmatrix}=4\,\mathbf i-3\,\mathbf j-13\,\mathbf k

\mathbf a\cdot(\mathbf b\times\mathbf c)=(\mathbf i-3\,\mathbf j+\mathbf k)\cdot(2\,\mathbf i-3\,\mathbf j-13\,\mathbf k)=4+(-3)^2-13=0
6 0
3 years ago
Simplify <br><br> 11x-4x+26<br><br> i need help quick
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Read 2 more answers
Question 18
ira [324]

Answer:

The function which represents this sequence will be:

a_n=-15n+110

Hence, option (A) is true.

Step-by-step explanation:

Given the sequence

95, 80, 65, 50, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

80-95=-15,\:\quad \:65-80=-15,\:\quad \:50-65=-15

As the difference is the same, so

d = -15

as

a_1=95

Thus, substituting d = -15, a_1=95 in the nth term of an arithmetic sequence

a_n=a_1+\left(n-1\right)d

a_n=-15\left(n-1\right)+95

a_n=-15n+110

Therefore, the function which represents this sequence will be:

a_n=-15n+110

Hence, option (A) is true.

6 0
3 years ago
Solve this:/ 2m - 5 - 5 = -3m + 15
ValentinkaMS [17]
2m-5-5= -3m +15
2m -10= -3m+15
2m+3m= 15+10
5m= 25
m= 25/5
m=5
5 0
3 years ago
Find the measure of the side of the right triangle whose length is designated by a lowercase letter. (see attachment)
PilotLPTM [1.2K]

Answer:

a≈18 cm

Step-by-step explanation:

     we have given:

an angle,

the adjacent side and

     we need to find:

the opposite side

     

we know that the definition of

tan of an angle = opp. side/ adj. side

              tan 61° = a/ 10

multiply both sides by 10

        10 * tan61° = a

   18.04047755 = a

                      18 ≈ a

8 0
3 years ago
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