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zavuch27 [327]
2 years ago
5

Suppose you start at the origin, move along the x-axis a distance of 9 units in the positive direction, and then move downward a

long the z-axis a distance of 8 units. What are the coordinates of your position?
Mathematics
1 answer:
Leviafan [203]2 years ago
6 0

Answer: The coordinates are (9 ; 0 ; -8)

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • You start at the origin = (0 , 0 , 0 ) .We use tridimensional coordinates because there is a z-axis: (x ,y ,z )
  • Move along the x-axis a distance of 9 units in the positive direction:

(9,0,0)

  • Move downward along the z-axis a distance of 8 units. (9 ; 0 ; -8) .

Number 8 is in the negative form because we are moving downward.

Feel free to ask for more if needed or if you did not understand something.

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Zara is serving a fresh pie.she starts by cutting the pie in half and then cuts each half into 4 equal pieces what fraction of t
gladu [14]

Answer:

\boxed{\frac{1}{8}}

Step-by-step explanation:

You are starting with ½ pie. Then you cut it into four pieces.

You want to evaluate ½ ÷ 4

Step 1. Treat the integer as a fraction

\frac{1}{2}\div{\frac{4}{1}}

Step 2. Invert the divisor and change divide to multiply

\frac{1}{2}\times{\frac{1}{4}}

Step 3. Multiply numerators and denominators

\frac{1}{2}\times{\frac{1}{4}} = \mathbf{\frac{1}{8}}\\\\\text{Each piece is } \boxed{\mathbf{\frac{1}{8}}} \text{ of a whole pie.}

5 0
2 years ago
The equation y = 14x represents the number of pages Printer A can print over time, where y is the number of pages and x is time
Crank
Printer A
y = 14x

Printer B
Time(min)       |  3  |  5  |  8  |  12  |
Pages printed | 48 | 80 | 128 | 192 |

Printer A prints 14(1) = 14 pages per minute.
Printer B prints 48/3 = 16 pages per minute.

The printer that prints at a faster rate is printer B.
8 0
2 years ago
Read 2 more answers
Zenaida is shopping and wants to purchase a $320 stereo system. The store is offering an incentive of 10 to 30 percent off when
lesantik [10]

The stereo system costs $256.

Step-by-step explanation:

Given:

Cost of the stereo system = $320.  

The discount Zenaida received = 20%.  

To Find:

Cost of the stereo system after the discount=?

Solution:

Step1:  Finding the discount amount:

Discount percentage =20

Discount amount = original cost × discount percent

Substituting the values,

\text { Discount amount }=320 \times 20 \%

\text { Discount amount }=320 \times \frac{20}{100}

\text { Discount amount }=320 \times \frac{1}{5}

\text { Discount amount }=320 \times 0.2

\text { Discount amount }=64

Step 2: Removing the discounted amount from the original price

Final cost of the stereo system =original cost of the stereo system –discount amount

Substituting the values we get,

Final cost=320-64

Final cost=256

Result:

Thus the cost of the stereo system after discount is $256

7 0
2 years ago
Read 2 more answers
Find the value of y for a given value of x, if y varies directly with x.
stepan [7]

Answer:

5.46

Step-by-step explanation:

3.24/5.4 = y/9.1

7 0
2 years ago
Two students, Claude and Diane, were asked to use synthetic division and the Remainder Theorem to find the value of f(2) given f
ad-work [718]

Answer:

Step-by-step explanation:

Part A

In applying the synthetic division, the polynomial would be fully expressed as

2x³ + 0x² + 5x - 6

The coefficients are 2, 0, 5 and - 6

The working becomes

2| 2 0 5 -6

4 8 16

2 4 13 10

The student that correctly used synthetic division to find f(2) is Claudia

Part B

The value of f(2) is

2(2)^3+5(2) - 6

= (2 × 8) + 10 - 6

= 16 + 10 - 6 = 20

Part C

x - 2 is not a factor of 2x³ + 5x - 6 because there is a remainder of 20.

Part D

The methods that can be used to find out if x - 2 is a factor of 2x³ + 5x - 6 are synthetic division, long division, remainder theorem

8 0
2 years ago
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