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kolezko [41]
3 years ago
7

A rectangle has a length of

Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0

rectangle has a length of

18 feet. The width is x feet

less than the length. If the

area must be less than 216

square feet, what could be

the measurement of the

width?

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Rewrite with only sin x and cos x.
aivan3 [116]

Answer:

cos x (2 sin x − 1)

Step-by-step explanation:

sin(2x) − cos x

Use double angle formula.

2 sin x cos x − cos x

Factor.

cos x (2 sin x − 1)

5 0
3 years ago
A tree farm owner uses a grid to mark where to plant trees in the spring. The first tree is planted at (2, 3). Each of the other
Tatiana [17]

Answer:

See attached image for the drawing of the first four trees (circled in green)

The patterns is:

x = 2+3n  and  y= 3+2n

Position of 7th tree is: (20,15) (circled in orange in the image)

Step-by-step explanation:

Starting at the location (2,3) the next x and y positions are given by:

x = 2+3n since the horizontal position needs to be increased by 3 units on each iteration,

and y= 3+2n since the vertical position needs to be increased by 2 units on each iteration

being n= 1 through 6 (to account for the next 6 trees that need to be planted)

With such pattern, the location of the seventh tree would be:

x = 2 + 3*6 =2 + 18 = 20

y = 3 + 2*6 = 3 + 12 = 15

That is, the point (20,15) on the plane.

Also see attached image.

8 0
3 years ago
Which expression is equivalent to ? Assume
stepan [7]

Answer:

b/a

Step-by-step explanation:

Given,(b^-2)/a*(b^-3)

or,(b^-2+3)/a

or,b/a

7 0
3 years ago
Read 2 more answers
Y = –3x 6 y = 9 what is the solution to the system of equations? (–21, 9) (9, –21) (–1, 9) (9, –1)
Romashka [77]

we have

<u>The system of equations</u>

y=-3x+6 -------> equation 1

y=9 -------> equation 2

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9=-3x+6

subtract 6 both sides

9-6=-3x+6-6

3=-3x

Divide by -3 both sides

x=-1

the solution is the point (-1,9)

therefore

the answer is

the solution to the system of equations is the point (-1,9)


4 0
3 years ago
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How to I write 1/8 without using a fraction bar ( it wants me to use exponents)
oksano4ka [1.4K]
2^-3

two raised to negative three
6 0
3 years ago
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