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aleksandrvk [35]
3 years ago
7

I need answers asap... please

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

(4)

consider the left side

factor the numerator

cosx - cos³x = cosx(1 - cos²x)

\frac{cosx(1-cos^2x)}{sinx}[/tex = [tex]\frac{cosxsin^2x}{sinx}

cancel sinx on numerator/denominator

= cosxsinx =right side ⇒ verified

(5)

Consider the left side

expand the factors

(1 + cotΘ)² + (1 - cotΘ)²

= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ

= 2 + 2cot²Θ

= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ

= 2cosec²Θ = right side ⇒ verified

(6)

Consider the left side

the denominator simplifies to

cosxtanx = cosx × \frac{sinx}{cosx} = sinx

\frac{sin^2x(secx+cosecx)}{sinx}

= sinx( \frac{1}{cosx} + \frac{1}{sinx})

= \frac{sinx}{cosx} + \frac{sinx}{sinx}

= tanx + 1 = right side ⇒ verified











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Please i really need help with this
iris [78.8K]

Answer:

y = 2x + 4

Step-by-step explanation:

First, we need to find out the original equation. On this graph, we can see that the original y-intercept is -1. We can also figure out the slope by counting how many units up on the graph the higher point is from the lower point, in this case, 4, and how many units right it is, in this case, 2, so our slope is 4/2, which can be simplified to 2/1, or a slope of 2. Using the slope and y-intercept, we can create the equation for the original line. The equation will be y = 2x - 1. To get our final answer, we simply need to substitute 4 in the place of -1, and we get our final equation, y = 2x + 4.

4 0
2 years ago
Read 2 more answers
Help! Need by 10:30 to turn in and I'm confused!
Alecsey [184]

Answer:

8 boxes of tissues

5 bags of cough drops

Step-by-step explanation:

You need to write a system of equations.

x = number of tissue boxes

y = number of cough drop bags

x (number of tissue boxes) + y (number of cough drop bags) = 13 (total number of tissues and cough drops combined.

So, your first equation is

x + y = 13

Then, you need to write the second equation.

(1.69 [cost of 1 tissue box] * [number of tissue boxes]) + (1.19 [cost of one bag of cough drops] * [number of cough drop bags] = 19.47 [total cost of tissues and cough drops]

That's a lot to read, so here's the equation simplified!

1.69x + 1.19y = 19.47

Now, you have two equations:

x + y = 13

1.69x + 1.19y = 19.47

I would solve with the substitution method.

the first equation can be changed to x = 13 - y by subtracting y from both sides.

Then, your two equations are:

x = 13 - y

1.69x + 1.19y = 19.47

Now, you can plug in that value of x into the second equation!

1.69(13 - y) + 1.19y = 19.47

21.97 - 1.69y + 1.19y = 19.47

subtract 21.97 from both sides

-1.69y + 1.19y = -2.5

Add the y values

-0.5y = -2.5

divide both sides by -0.5

so, y equals 5 bags of cough drops

now that you know what y equals, plug it back into your original equation to find x!

x + y = 13

plug in y

x + 5 = 13

x = 8

so, x = 8 boxes of tissues

Hope this helps! Let me know if you have any questions!

8 0
3 years ago
Jacob sells homemade skateboard decks for a profit of $27 per deck. He is considering switching to a new type of material that w
BARSIC [14]

Answer:

in your equation it says (y=32x) which 32 will mean how much he is charging for each skateboard, x will be how many he sells, and y would be how much he makes from selling them. So if he sold 2 skateboards you would do

Step-by-step explanation:

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3 years ago
Jess picked 40 pounds of peaches in her orchard. She divided the peaches evenly between 4 large baskets. How many ounces did Jes
ioda

Answer:

10

Step-by-step explanation:

the answer is 10 you half to divide 40 and u get 4

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Based on the graph, which statements about the points could be true? Check all that apply.
aliina [53]

Answer:

A. Point D could be the image of B.

D is up and to the right of B, so yes. Select choice A

B. Point C could be the image of A.

C is below A, so no

C. Point E could be the image of C.

E is up and to the right from C so yes, Select choice C

D. Point D could be the image of A.

D is down and to the right of A so no.

E. Point E could be the image of B.

E is up and to the right of B so yes. Select choice E

F. Point C could be the image of E.

No C is down and to the left of E.

Answers: A C E

Step-by-step explanation:

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