What is the difference between: |x+3| = 10 & |x| + 3 = 10

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

|x+3| = 10 means the absolute value of x+3 equal 10, so the answer to that means x= -13 or x= 7 (i.e. |-13+3| = |-10| =10, |7+3| = |10| = 10)

|x| + 3 = 10 means the absolute value of just x, so the answer to that would be x= -7 or x= 7 (i.e. |-7|+3 = 7+3 = 10, |7|+3 = 7+3 = 10)

However, take everything I say with a grain of salt, because I struggle some with Absolute Value Equations as well.

I hope this helps give you an idea of what you're looking at, though :)

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Which ones are functions?

Answers

Answer:

1 and 4

Step-by-step explanation:

All the other options have corresponding x-values

Answer:

The first and fourth options

Step-by-step explanation:

If it's a function no input and have more than one output.

What is the sum of 8 yards and 5 feet?

Answers

The sum is a mathematical operation by which we get the result for sum of 8 yards and 5 feet, 29 foot.

What are Units ?

To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorized.

For example, for length measurement we use units like:- Yard, Feet, inch, miles.

Given that,

we have to add two quantities, which have different units but dimension is same for both quantities,

L₁ = 8 yards

L₂ = 5 feet

It is known that,

1 yard = 3 feet

So, L₁ = 8 yards = 24 foot

L = L₁ + L₂

L = 24 + 5 foot = 29 foot

So, The sum is 29 foot

To know more about Units check:

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1 yd = 3 ft
8 • 3 = 24
8 yd = 24 ft

5 + 25 = 29 ft

Your answer is 29 ft

2x - 4y = -2
2x + 3y = -16

What is the solution

Answers

Answer:

x=-5

y=-2

Step-by-step explanation:

equation 1 - equation 2

(2x-4y=-2) - (2x+3y=-16) = (-7y=14)

y=14/-7=-2

then substitute y=-2 into any equation

2x-4(-2)=-2

2x+8=-2

2x=-10

x=-10/2=-5

Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle, 15 feet long and 8 feet wide. He needs to lay a piece of pipe that will be run along the diagonal of the lawn. It will divide the area of the lawn into two right triangles. What will be the length of that diagonal piece of pipe? A. 120 feet B. 17 feet C. 289 feet D. 23 feet

Answers

The correct answer to the question above would be letter C. The diagonal piece of pipe would be 289 feet. I got this through drawing a line in the two opposite corners of the rectangle, giving me a right triangle. Then, i proceeded to using the pythagorean theorem (since two sides are given and the hypotenuse is the one missing.

Tyler returned $500 worth of merchandise within the discount period. The entry to record the return would be placed into what account?

Answers

Tyler purchased something on account. I'm using the gross method of recording.

1) Purchases xx
Accounts Payable xx

2) Return of merchandise w/in discount period

Accounts Payable 500
Purchases 500

3) Payment of remaining merchandise w/in discount period
Accounts Payable xx
Cash xx
Purchase discounts xx

Merchandise that can be discounted but returned w/in the discount period should be recorded with its original value.

The answer to your question is "Debit Accounts Payable/Suppliers Name for $500; credit Purchases Returns and Allowances for $500."

a cylinder with base are 169π ft^2 and a height twice the radius. what is the lateral area and surface area of the cylinder

Answers

$Area\ of\ base:A_B=169\pi\ ft^2\n\nA_B=\pi r^2\ \ \ (r-radius)\n\n\pi r^2=169\pi\ \ \ /:\pi\n\nr^2=169\n\nr=√(169)\n\nr=13\ (ft)\n\nH=2r\to H=2\cdot13=26\ (ft)$

$lateral\ area:A_L=2\pi rH\n\nA_L=2\pi\cdot13\cdot26=676\pi\ (ft^2)\n\nSurface\ area:A_S=2A_B+A_L\n\nA_S=2\cdot169\pi+676\pi=338\pi+676\pi=1014\pi\ (ft^2)$

Area of base = 169 π

r = √Area = 13 ft

Given, height = 2 x 13 = 26 ft.

Lateral surface area of cylinder = 2πrh = 2 x π x 13 x 26 = 676 π ft²

Total surface area = 2πr(r + h) = 2 x π x 13 x 39 = 1014 π ft²

Thus, lateral surface area is 676 ft² and total surface area is 1014 ft²

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