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evablogger [386]
2 years ago
14

The length of a rectangle is 2 centimeters less than five times the width of a rectangle. The area of the rectangle is 16 square

centimeters. Find the length and width of the rectangle.
Mathematics
1 answer:
Kisachek [45]2 years ago
6 0

Answer:

Length: 8 cm

Width: 2 cm

Step-by-step explanation:

Check the attachment.

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Match the right side of the equation to the left side<br> cot x sec^4 x=cot x+ 2 tan x+tan^3 x
Natalka [10]

Step-by-step explanation:

cot x + 2 tan x + tan³ x

Write in terms of sine and cosine:

(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)

Find the common denominator:

(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))

Add:

(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)

Factor:

(sin² x + cos² x)² / (sin x cos³ x)

Pythagorean identity:

1 / (sin x cos³ x)

Multiply top and bottom by cos x:

cos x / (sin x cos⁴ x)

Simplify:

cot x sec⁴ x

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3 years ago
Is the graphed function linear?
Anna11 [10]

Yes, because each input value corresponds to exactly one output value.Yes, because the outputs increase as the inputs increase.No, because the graph is not continuous.No, because the curve indicates that the rate of change is not constant.

6 0
2 years ago
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Is 7s+8+5s equal to 12s+8
MatroZZZ [7]
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What is the answer to the whole thing? I'm having trouble with my homework.
notsponge [240]
Y=8,4,2,-2 linear and in that order
8 0
3 years ago
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Can someone solve this question to me.i will mark brainliest. :)
Alex787 [66]

Answer:

  • Parent Function:  y=\sqrt{x}
  • Horizontal shift: right 3 units
  • Vertical shift: up 3 units
  • Reflection about the x-axis: none
  • Vertical strech: streched

Step-by-step explanation:

assume that y=\sqrt{x} is f(x)=\sqrt{x} and y=\sqrt{-2x+6}+3 is

g(x)=\sqrt{-2x+6}+3\\ f(x)=\sqrt{x} \\g(x)=\sqrt{-2x+6}+3

The transformation from the first equation to the second equation can be found by finding a,h and k for each equation.

y=a\sqrt{x-h}+k

factor a 1 out of the absolute value to make the coefficient of x equal to 1

y=\sqrt{x}

factor a 2 out of the absolute value to make the coefficient of x equal to 1

y=\sqrt{2}\sqrt{x-3}+3

find a, h and k for y=\sqrt{2}\sqrt{x-3}+3

a=1.41421356\\ h=3\\k=3

the horizontal shift depends on the value of h when h > 0, the horizontal shift is described as:

g(x)=f(x+h) - the graph is shifted to the left h units

g(x)=f(x-h)\\ - the graph is shifted to the right h units

the vertical shift depends on the value of k

5 0
1 year ago
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