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Nastasia [14]
2 years ago
12

Just #1 what’s the answer and how do I do it?

Mathematics
2 answers:
schepotkina [342]2 years ago
6 0

Answer: B. C^2 +c+5

Step-by-step explanation:

group them in families

(c^2-6c) +(7c+5)

       -6c+7c

C^2 +c +5

*Keep in mind that if 1 is in front of the variable than just put the letter/symbol

Thepotemich [5.8K]2 years ago
5 0

Answer:

It is B

Step-by-step explanation:

(c² - 6c) + (7c + 5)

c² is it's own term

-6c + 7c combine to 'c'

5 is it's own term.

So it is c² + c +5

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What is the gcf of 9 and 36
soldier1979 [14.2K]
Factors of 9: 1; 3; 9
Factors of 36: 1; 2; 3; 4; 6; 9; 12; 18; 36

GCF(9; 36) = 9
4 0
3 years ago
For 0 ≤ θ < 2 π what are the solutions to sin^2(θ) =2sin^2(θ/2)
gregori [183]

Recall the half-angle identity for sine,

sin²(x/2) = (1 - cos(x))/2

Then the given equation is identical to

sin²(θ) = 1 - cos(θ)

Also recall the Pythagorean identity,

sin²(θ) + cos²(θ) = 1

Then we rewrite the equation as

1 - cos²(θ) = 1 - cos(θ)

Factoring the left side, we have

(1 - cos(θ)) (1 + cos(θ)) = 1 - cos(θ)

and so

(1 - cos(θ)) (1 + cos(θ)) - (1 - cos(θ)) = 0

and we factor this further as

(1 - cos(θ)) (1 + cos(θ) - 1) = 0

which gives

cos(θ) (1 - cos(θ)) = 0

Then either

cos(θ) = 0   or   1 - cos(θ) = 0

cos(θ) = 0   or   cos(θ) = 1

[θ = arccos(0) + 2nπ   or   θ = -arccos(0) + 2nπ]

…   or   [θ = arccos(1) + 2nπ   or   θ = -arccos(1) + 2nπ]

(where n is any integer)

[θ = π/2 + 2nπ   or   θ = -π/2 + 2nπ]   or   [θ = 0 + 2nπ]

In the interval 0 ≤ θ < 2π, we get three solutions:

• first solution set with n = 0   ⇒   θ = π/2

• second solution set with n = 1   ⇒   θ = 3π/2

• third solution set with n = 0   ⇒   θ = 0

So, the first choice is correct.

6 0
2 years ago
Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals startfraction one-half endf
Marina CMI [18]

The linear function which represents the line given by the point-slope equation is (B) f(x)=\frac{1}{2} x+6.

<h3>What is a linear function?</h3>
  • The word linear function in mathematics refers to two distinct but related concepts.
  • A linear function in calculus and related fields is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

To find the linear function which represents the line given by the point-slope equation:

Given: y-8=\frac{1}{2} (x-4)

Distribute the right side:

y-8=\frac{1}{2} (x)-\frac{1}{2} 4\\y-8=\frac{1}{2} x-2

Adds 8 on both sides:

y=\frac{1}{2}x-2+8\\y=\frac{1}{2}x+6

Convert to function notation:

f(x)=y\\f(x)=\frac{1}{2} x+6

Therefore, the linear function which represents the line given by the point-slope equation is (B) f(x)=\frac{1}{2} x+6.

Know more about linear functions here:

brainly.com/question/15602982

#SPJ4

The complete question is given below:

Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals start fraction one-half end fraction left-parenthesis x minus 4 right-parenthesis. (x – 4)?

A) F(x) = f(x) equals StartFraction one-half EndFraction x plus 4.X + 4

B) f(x) = f(x) equals StartFraction one-half EndFraction x plus 6.

C) X + 6 f(x) = f(x) equals StartFraction one-half EndFraction x minus 10.X –10

D) f(x) = f(x) equals StartFraction one-half EndFraction x minus 12.X – 12

3 0
1 year ago
7(1 - 2n) &lt; 33 - n<br><br>solve the inequality <br>show work <br>​
Mashcka [7]

Answer:

n > -2

Step-by-step explanation:

7(1 - 2n) < 33 - n

7 - 14n < 33 - n

Subtract 7

-14n < 26 - n

Add n

-13n < 26

Divide by -13

n > -2

8 0
2 years ago
Read 2 more answers
A rectangle has an area of 16in^2 and a perimeter of 20 in. Find the dimension of the rectangle.
Anni [7]

Answer:

8 in x 2 in

Step-by-step explanation:

8 x 2 = 16

8 + 8 + 2 + 2 = 20

3 0
3 years ago
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