MATHEMATICS HIGH SCHOOL

Write an integer expression using absolute value symbols to represent the verbal expression.-the absolute value of negative eight-
Enter the correct answer in the box.

Answers

Answer 1

Answer:

Answer:

$Absolute\ Value = 8$

Step-by-step explanation:

Given

Digit = -8

Required

Determine the absolute value

The absolute value is calculated as follows;

$Absolute\ Value = |Digit|$

Substitute -8 for Digit

$Absolute\ Value = |-8|$

And it returns the positive of its input;

$Absolute\ Value = 8$

Answer 2

Answer:

Final answer:

The absolute value of negative eight is represented by |-8|. In mathematics, absolute value refers to the distance of a number from zero, disregarding its sign.

Explanation:

The verbal expression 'the absolute value of negative eight' can be written as an integer expression using absolute value symbols as follows: |-8|. The symbol | | denotes the absolute value. Absolute value is a mathematical concept that refers to the non-negative value of an integer, ignoring its sign. Hence, the absolute value of -8 is 8, because 8 is the distance that -8 is from zero on the number line.

Learn more about Absolute Value here:

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Solve the equation. 12 + 0.35x= 20.05
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A sphere has a volume of 1296in^3. find it???s surface area

Answers

Sphere Volume = 4/3 • π • r³
1,296 = 4/3 * PI * r^3r^3 = (3/4) 1,296 / PI
r^3 =.75 * 1,296 / PIr^3 =309.3972093706radius =6.7635099107 inches
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Chris plans to mulch the border surrounding a rectangular garden in his backyard. If the length, l, of the garden (excluding its border) is 3 more than twice its width, w, and the width of the border is , which function represents the area, A, to be mulched in terms of w?

Answers

Answer: A = 6w+6

Step-by-step explanation:

Hi, since the length (L) of the rectangular garden is equal to 3 more than twice its width: we have to multiply the width (w) by two , and add 3.

Mathematically speaking:

L = 2w+3

The area (A) of a rectangle is equal to:

A = 2L +2w

So, replacing the value of L by (2w+3)

A = 2 (2w+3) +2w

Simplifying

A = 2(2w) + 2 (3) +2w

A = 4w+6+2w

A = 6w+6

Factor
8m³-18m
im so confused

Answers

8m³ - 18m

When you factor this equation, you need to find the common number or variable in the two terms.

8 and 18 can be divide by 2.

8 ÷ 2 = 4
18 ÷ 2 = 9

2(4m³ - 9m)

You will notice that both terms have the variable m. We can remove that.

2m(4m²-9) This is the factor of 8m³-18m

A classroom is 30 feet long and 30 feet wide. The ceiling is 10 feet above the floor. What is the volume of the classroom?600 ft 3
900 ft 3
6000 ft 3
9000 ft 3

Answers

If you would like to know the volume of the classroom, you can calculate this using the following steps:

30 feet long * 30 feet wide * 10 feet high = 30 * 30 * 10 = 9000 ft^3

The correct result would be 9000 ft^3.

Y= (x-1)^2 + 2

change this equation into standard form

Answers

Answer:

x² - 2x + 3

Step-by-step explanation:

y = (x - 1)² + 2

= (x - 1)² + 2 [a - b]² = a²- 2ab + b²

= x²- 2x + 1 + 2

= x² - 2x + 3

Thus, the standard form of the equation isx² - 2x + 3

Use cramers rule to solve 4x+3y=4 -3x-y=7 show your work

Answers

$\left\{\begin{array}{ccc}4x+3y=4\n-3x-y=7\end{array}\right\n\nD= \left|\begin{array}{ccc}4&3\n-3&-1\end{array}\right|=(4)(-1)-(-3)(3)=-4+9=5\n\nD_x=\left|\begin{array}{ccc}4&3\n7&-1\end{array}\right|=(4)(-1)-(7)(3)=-4-21=-25\n\nD_y=\left|\begin{array}{ccc}4&4\n-3&7\end{array}\right|=(4)(7)-(-3)(4)=28+12=40\n\nx=(D_x)/(D)\Rightarrow x=(-25)/(5)=-5\n\ny=(D_y)/(D)\Rightarrow y=(40)/(5)=8$