Unit 4 linear equations homework 12

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Answer 1
Answer:

Answer:

There's no questions or worksheet attached.

Answer 2
Answer:

Final answer:

This question pertains to linear equations, a topic in high school level algebra. Linear equations produce a straight line when graphed and can be solved using algebraic methods. Completing the homework might involve solving for variables, graphing the equations, or interpreting the graphs.

Explanation:

The subject of this question is about Unit 4 Linear Equations Homework 12 which falls within the scope of Mathematics, specifically in the field of algebra. A linear equation is an equation between two variables that produces a straight line when graphed out. Solving such equations involves procedures such as simplification, addition, subtraction, multiplication and division.

As for homework, it might involve solving for variables, graphing the linear equations, or interpreting such graph. For example, the equation of a line could be form such as 'y=mx+b', where 'm' is the slope of the line and 'b' is the y-intercept. One might be asked to determine the slope and y-intercept from a given equation or to write an equation given certain information.

When tackling this kind of homework, one should carefully review his/her class materials and notes. Once the concept and the procedure is clear, practice with some example problems is a great way to increase confidence and proficiency in solving linear equations.

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Which expression equals
9 \sqrt[3]{10}

Answers

Answer:

B on edge

Step-by-step explanation:

5^3sqrt10+4^3sqrt10

Find the perimeter of this quarter circle with radius, r
= 2mm.
Give your answer as an expression in terms of
π
.

Answers

Answer:

pi

Step-by-step explanation:

First find the circumference of the circle

C = 2 * pi*r

C = 2 * pi *2

C = 4pi

A quarter circle is 1/4 of a circle

1/4 C = 1/4 (4pi)

1/4C = pi

A piece of rope there is 28 feet long is cut into two pieces. One is use to form a circle and others used to form a square. Write a function G representing the area of the square as a function of the radius of the circle R

Answers

The function g representing the area of the square as a function of the radius of the circle r is given as:

g(r) = 49 - 22r + (121r^2)/(49)

Solution:

Given that,

length of rope = 28 feet

Let "c" be the circumference of circle

Let "p" be the perimeter of square

Therefore,

length of rope = circumference of circle + perimeter of square

c + p = 28 ------- eqn 1

The circumference of circle is given as:

c = 2 \pi r

Where, "r" is the radius of circle

Substitute the above circumference in eqn 1

2 \pi r + p = 28

p = 28 - 2 \pi r ----------- eqn 2

If "a" is the length of each side of square, then the perimeter of sqaure is given as:

p = 4a

Substitute p = 4a in eqn 2

4a = 28 - 2 \pi r\n\na = (28 - 2 \pi r)/(4)\n\na = 7 - ( \pi r)/(2)

The area of square is given as:

area = (side)^2\n\narea = a^2

Substitute the value of "a" in above area expression

area = (7 - ( \pi r)/(2))^2  ------ eqn 3

We know that,

(a - b)^2 = a^2 - 2ab + b^2

Therefore eqn 3 becomes,

area = 7^2 -2(7)((\pi r)/(2)) + (( \pi r)/(2))^2\n\narea = 49 - 7 \pi r + ( (\pi)^2 r^2 )/(4)

\text{ substitute } \pi = (22)/(7)

area = 49 - 7 * (22)/(7) * r + ((22)/(7))^2 * (r^2 )/(4)\n\narea = 49 - 22r + (121)/(49) * r^2\n\narea = 49 - 22r + (121r^2)/(49)

Let g(r) represent the area of the square as a function of the radius of the circle r, then we get

g(r) = 49 - 22r + (121r^2)/(49)

Thus the function is found

What is the greatest common factor of 8x and 40y?

8
8xy
320
320xy

Answers

The greatest common factor of 8x and 40y is 8.

What are Factors?

Factors of a number or an algebraic expression are the numbers or expressions which divides the given number evenly.

For example, 10 = 2 × 5

So we can say that 2 and 5 are factors of 10.

Greatest common factor of two or more numbers is the factor which is the greatest among all the common factors of both the numbers.

8x can be prime factorized as,

8x = 2 × 2 × 2 × x

Similarly, 40y can be prime factorized as,

40y = 2 × 2 × 2 × 5 × y

Greatest common factor of both the numbers is the product of the common prime factors of both.

Greatest common factor = 2 × 2 × 2 = 8, which is common to both.

Hence 8 is the greatest common factor of 8x and 40y.

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Answer:

8

Hope this helps!

Which one of these transformations move by sliding in any direction?A.Translation
B.Rotation
C.Reflection
D.Dilation

Answers

Answer:

D. Dilation, sorry if i'm wrong ;)

Step-by-step explanation:

What is the solution of square root of-4x=100? x = –2500 x = –50 x = –2.5 no solution

Answers

√(-4x) = 100
-4x = 100² = 10,000
x = 10,000/-4 = -2500

The solution is ...
  x = -2500