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NARA [144]
2 years ago
15

Which is the product of (1 +41+3x) (2 - 7x–9x)?​

Mathematics
1 answer:
Andrews [41]2 years ago
6 0

Answer:

-48x^2 -666x+84

Step-by-step explanation:

Exponet is ^2.

Multiply is •

Use Distributed Property. Multiply the second parathesis by each term from the first parathesis.

Any expression multiplied by 1 remains the same. Distribute 41 through the parathesis. 41(2-7x-9x).

Distribute 3x through the parathesis 3x • (2-7x-9x).

You will have these numbers left: (Slide 2)

Add the numbers, 2 and 82 to get 84. Add -7x -9x + -287x -369x + 6x to get -666x. Add -21x^2 - 27x^2 to get 48x^2.

Use the communitative property to reorder the terms. And then your answer is -48x^2 -666x+84.

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Sedbober [7]
I hope this helps you

5 0
3 years ago
Walk fifty meters at 30o north or east from the old oak tree. (2) Turn 45o to your left (you should now be facing 75o north of e
saw5 [17]

Answer:

A straight line of approximately 75 meters, 1.4º north

Step-by-step explanation:

Hi, let's make it step by step to make it clearer

1) If we walk 50 meters in 30º angle Northeast, assuming the Old Oak tree is the point 0,0 and we're dealing with vectors in R^{2}. To say 30º Northeast is 30º clockwise (or 60º counter clockwise).

2) Then there was a the turning point to the left. If I turn to the left, on my compass 45º , I'll face 75º northeast.

3) Finally, the last vector leads to the treasure from the Old Oak Tree, i.e. the resultant.

So, let's calculate the norm which is the length of the each vector.

1) Graphing them we can find the points, then the components and then calculate the norm, the length of each vector.  

Since the Oak Tree is on (0,0). The turning point (50,86.61) and the Rock (R=(1.4,74,85) we can write the following vectors:

\vec{u}=\left \langle 50,86.61 \right \rangle\\\vec{v}=\left \langle -48.6,-11.76\right \rangle\\\vec{w}=\left \langle 1.4,74.85 \right \rangle

Now, let's calculate each vector length by calculating the norm.

\left \| \vec{u} \right \|=\sqrt{50^{2}+86.6^2}=100\\\left \| \vec{v} \right \|=\sqrt{(-48.6)^2+(-11.76)^2}=50\\\left \| \vec{u} \right \|=\sqrt{(1.4)^2+(74.85)^2}=74.86

The path is almost 75 meters. And since it is less than 15º degrees to the left of the North (or to the right) its direction is still north of the Old Oak Tree.

8 0
3 years ago
7. Find the perimeter of the pentagon ABCDE.
oksian1 [2.3K]

Answer:

Step-by-step explanation:

32.5

4 0
2 years ago
Find the slope of the graph of C
alexandr402 [8]

Step-by-step explanation:

the slope of a line or linear equation is always the factor of the driving variable.

usually in the form of

y = ax + b

x is the variable, and a the slope.

but in our case the variable is called "n".

it does not matter, the same principle applies.

the slope is the factor of n : 1050.

and as the slope is always the ratio y/x, we are looking for a fraction form, and that would be 1050/1.

so, the third answer is correct.

7 0
1 year ago
What is the average rate of change for this exponential function for the
zhannawk [14.2K]

Answer:

1.5

Step-by-step explanation:

The average rate of change is 1.5

when x=0 , the value of y =1

when x=2 the value of y = 4

<em>average rate of change formula = </em>\frac{f(b)-f(a)}{b-a}

a= 0 , f(a)=1

b=2, f(b)= 4

4 - 1 / 2 - 0 = 3/2 = 1.5

6 0
1 year ago
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