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3 years ago

Find all solutions to 5cosθ = 3cosθ - 1.

1 answer:

6 0

Hello :
5cosθ = 3cosθ - 1.
5cosθ - 3cosθ = 1.
2cosθ =1
cosθ =1/2
all solutions :
cosθ =cosπ/3
all solutions :
θ =π/3 +2kπ or θ = - π/3 +2kπ ....k in Z

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2. LUIS WANTS TO BUY 2 PENCILS AND 1 NOTEBOOK IN THE STORE. EACH PENCIL COSTS $2 AND THE NOTEBOOK COSTS $6. HOW MUCH MONEY DID L

navik [9.2K]

Answer:

Luis spent $10 in total

2×2=4 6×1=6 6+4=10

Step-by-step explanation:

4 0

3 years ago

What is the equation of the line that passes through (-3, -1) and has a slope of 2/5? Put your answer in slope-intercept form.

Zanzabum

Hi there!

The general formula of A line in slope-intercept form is the following:
$y = mx + n$

In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
$y = \frac{2}{5} x + n$

We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1

$- 1 = \frac{2}{5} \times - 3 + n$

Multiply first.
$- 1 = - 1\frac{1}{5} + n$

And finally add 1 1/5 to both sides of the equation.
$\frac{1}{5} = n$

We can now switch sides.
$n = \frac{1}{5}$

Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
$y = \frac{2}{5} x + \frac{1}{5}$

7 0

3 years ago

Simplify the expression. -5/8(-3/8-1/4)

prisoha [69]

Answer:

25/64

Step-by-step explanation:

To get this answer, first you need to use the distributive property:

(-3/8)(-5/8) - (1/4)(-5/8)

Next, multiply:

15/64 - (-5/32)

Change the negative signs into a positive sign:

15/64 + 5/32

Multiply 5/32 by 2 on both top and bottom:

15/64 + (5)(2)/(32)(2)

You will then get:

15/64 + 10/64

Now, add the numerators. You will get:

25/64

This is your answer. I hope it helped!

5 0

3 years ago

Can you guys figure this out please x6∙x∙x3= x6+3 = x9

Marat540 [252]

Answer:

Below.

Step-by-step explanation:

x^6 . x . x^3

= x^6 . x^1 . x^3

= x^(6+1+3)

= x^10.

5 0

3 years ago

Atriangle was translated 4 units down.

loris [4]

Answer:

Idk if this is right but I think it's The transformed shaped shifted 7 units to the right so add 7 to x and it shifted 6 units down so subtract 6 from y.

The answer is (x,y) = (x+7) (y-6)

Hope this helps!!!?

7 0

3 years ago

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