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Zarrin [17]
3 years ago
14

If (x + 2 ) is a factor of x3 − 6x2 + kx + 10, k =

Mathematics
2 answers:
BartSMP [9]3 years ago
8 0
If a binomial x-a is a factor of a polynomial p(x), then p(a)=0.

x+2 is a factor of p(x)=x³-6x²+kx+10, so p(-2)=0.

p(-2)=0 \\
(-2)^3 - 6 \times (-2)^2 + k \times (-2) + 10=0 \\
-8-6 \times 4-2k+10=0 \\
-8-24-2k+10=0 \\
-2k-22=0 \\
-2k=22 \\
k=\frac{22}{-2} \\
\boxed{k=-11}
Gwar [14]3 years ago
4 0

Answer:

-11

Step-by-step explanation:

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Determine the principal value of the function: Arc sin(square root of 3/2)
Drupady [299]

Answer:

π/3

Step-by-step explanation:

We have to find the principal value of \text{arc sin}(\frac{\sqrt{3}}{2} )

arc sin means sin inverse. The sin inverse is a one to one function with its range between -\frac{\pi}{2} \textrm{ to } \frac{\pi}{2}

The principal value of the arc sin will lie within the above given range.

value of sin (60) or sin(\frac{\pi}{3}) is \frac{\sqrt{3}}{2}.

\frac{\pi}{3} lies between -\frac{\pi}{2}\textrm{ and } \frac{\pi}{2}

So, from here we can say that the Principal Value of Arc sin(square root of 3/2) is π/3

5 0
3 years ago
* There are five cars in line at a stoplight. Each of these cars is a different color and different type of car. Diego is drivin
Svetach [21]
Info given :
vehicles : (colors)red car, green car, yellow car, blue car, white car
types : sedan, minivan, SUV, convertible, pick-up truck
people : Diego, Ingrid, Rachel, Anton, Yuna

Diego -- red car -- minivan -- 3rd car
Ingrid -- white car -- sedan -- 4th car
Yuna -- green car -- truck -- 5th car
Rachel -- yellow car -- SUV -- 1st car
Anton -- blue car -- convertible -- 2nd car

I am thinking the truck, it is green, is driven by Yuna
6 0
3 years ago
Select all the numbers that belong to the special sequence of square numbers.
ipn [44]

answer:

81

169

81 =9²

169=13²

7 0
3 years ago
Please someone help me
irina1246 [14]
The area of the triangle extension is 12, because the total side length it is on is 18, and the segments to the sides of the triangle are 6 each, meaning 18-12=6, the height of the triangle. The base is given as 4, so 1/2(4x6)=24/2=12.

Add this to the area of the rectangle, 9x18=162, and 162+12=174.

The area is 174.
7 0
4 years ago
Read 2 more answers
Which statement best completes the diagram Immigration from Europe increases A. Farmers refuse to move to new territories B. Eur
AveGali [126]

Answer:

A). Farmers refused to move to new territories

Step-by-step explanation:

hope this helps :) :)

6 0
3 years ago
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