Prove that $sin 5x+sin3x/cos5x+cos3x=tan4x$

Answers

Answer 1

Answer: sin5x + sin3x = 2sin4x.cosx
cos5x + cos3x = 2cos4x.cosx
so $(2sin4x.cosx)/(2cos4x.cosx)$ = $(sin4x)/(cos4x)$
= tan4x

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What is the y-coordinate of the solution? Round to the nearest hundredth.
( 4x-y= 2
2x+9y= -12)

Answers

$Hi \n \n \begin{cases}4x-y=2~~----\ \textgreater \ (I) \n 2x+9y=- 12~--\ \textgreater \ (II)\end{cases} \n \n \underline{Resolution ~} \n \n~~~~~~4x-y=2 \n =\ \textgreater \ \boxed{y=4x-2}~~--\ \textgreater \ \textcircled{1} \n \n \mathbb{tttttttttttttttttttttttttttttttttttt} \n\textcircled{1}~in (II) \n \n2x+9\underbrace{y}_(4x-2)=-12 \n \n 2x+9(4x-2)=-12 \n \n 2x+36x-18=-12 \n \n \boxed{\boxed{x=0,16}} \n \n \mathbb{tttttttttttttttttttttttttttttttttttt} \n =\ \textgreater \ y=4x-2 \n ~~~~~~y=4(0,16)-2 \n ~~~~~~\boxed{\boxed{y=-1,36}}\n \n \n .$

$\therefore~(x;y)=(0,16; -1,36)$

y=-1.4
all you had to do was the elimination method

It takes 10 minutes to bake a batch of cookies. You need to bake 7 batches of cookies. How long will it take to bake all the cookies?

Answers

You know 1 batch of cookies = 10 minutes

Now, 7 batch of cookies = ?
To do this just do 7×10=70.
So the answer is 70 minutes = 7 batch of cookies.

You can also set up a proportion.

10 x
__ = ____
1 7

Cross multiply and 7×10=70 and 10x. So now its like this.
70= 10x
÷10 ÷10
_________
7=x

So the answer is 7.

Jessica rented a truck to move into another apartment. The rental charge is $140 per day plus $0.35 per mile. Write an equation to determine x, the number of miles she can drive the truck if the cost is y.

Answers

Answer:

y=0.35x+140

Step-by-step explanation:

Step one:

given data

The rental charge is $140 per day

additional charges per mile driven = $0.35 per mile

Step two:

Required

The expression for the total charges

let the number of miles be x, and the total charges be y

the expression for the total charges is

y=0.35x+140

If the cross section shown is congruent to the base of the rectangular prism above, what is true about the crosssection?

Answers

Answer:The answer is A.It is parallel to the basses.

Step-by-step explanation:

Answer:

A its right

Step-by-step explanation:

got it right on edge

F(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1).?? ?//

Answers

Answer:

Step-by-step explanation:

f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1)

f(x)= (-1)(2) +3 (-1)= -2+-3= -5

g(x)= 2 (-1)2= -4

(f ∘ g)= -5 x -4= 20

What is 1.5 million written in standard form

Answers

1.5 million in standard form is 1,500,000

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