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ad-work [718]
3 years ago
15

(1 point) Find a⋅b if |a| = 2, |b| = 4, and the angle between a and b is −π7 radians.

Mathematics
1 answer:
AVprozaik [17]3 years ago
3 0

Answer:

a·b  = 7.2

Step-by-step explanation:

Given :

IaI = 2; IbI = 4 , \theta = -\pi/7

Using Dot product formula:

a·b = IaI IbI cos (\theta)

a·b  = (2) (4) (cos(-\pi/7[/tex])

a·b  = 7.2

Hence Dot product of vector a and b i s:

a·b  = 7.2

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Find two positive consecutive integers whose product is 132.
iren2701 [21]
If x is the first integer, then x+1 is the second. x(x+1)=132 or x^2+x-132=0. This factors as (x-11)(x+12)=0. Thus either x=11 or x=-12 
<span>So either 11 and 12 or -12 and -11 will do.</span>
7 0
3 years ago
Help fill in the answers and are my answers rigt
Anna35 [415]

The third one tells us the price is $12 per liter, that is to say, the top number is twelve times the bottom number.

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2.5 × 12 = $30

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3 0
3 years ago
Read 2 more answers
Which expression is equivalent to (3x-5y)+ (x + 2 y)?
Stells [14]

Question is Incomplete; Complete question is given below.

Which expression is equivalent to (3x-5y)+(x+2y)?

1. 4x-7y

2. 4x-3y

3. 4x+3y

4. 4x+7y

Answer:

2. 4x-3y

Step-by-step explanation:

Given:

(3x-5y)+(x+2y)

We need to simplify the given expression;

Solution on simplifying the given expression we get;

First we will apply distributive property to remove the parenthesis we get;

3x-5y+x+2y

Now Combining the like terms together we get;

3x+x-5y+2y

Now adding and subtracting like terms we get;

4x-3y

Hence the equivalent expression for given expression is 4x-3y.

5 0
4 years ago
PLZ HELP FAST!!! WILL MARK THE BRAINLIEST -Which of the following is an equivalent form of the compound inequality −33 &gt; −3x
castortr0y [4]

Answer:

B

Step-by-step explanation:

Its the same

8 0
3 years ago
Find the slope of the line passing through each of the following pairs of points. i (5, 0), (−3, 0)
Gnom [1K]

Answer:

m = 0

Step-by-step explanation:

(5, 0) (-3, 0)

m = slope

m = y2 - y1 ÷ x2- x1

m = 0 - 0 ÷ -3 -5

m = 0 ÷ -8

m = 0

3 0
4 years ago
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