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Black_prince [1.1K]
2 years ago
7

Use complete sentences to describe how measurements of position in two directions (vertical and horizontal) are sufficient enoug

h to describe the position of an object on a flat surface
Mathematics
1 answer:
posledela2 years ago
5 0

Answer:

We know that our world is in 3 dimensions i.e. there are three directions and so, three co-ordinates are required.

Now, if we have to find a position of an object lying on a flat surface, this means that there are only two directions and so, two co-ordinates are needed.

So, we can define the domain ( xy-axis ) in such a way that there are two axis - horizontal where right area have positive values & left area has negative values and vertical where upward side have positive values & downward side has negative values.

For e.g. if we want to find the position of a pen on the table. We will make our own xy-axis and see in which quadrant the pen lies.

Let us say that the pen lies at (2,3), this means that the position of pen is in the first quadrant or it is 2 units to the right of y-axis and 3 units up to the x-axis.

This way we can see that two directions are sufficient to find the position of an object placed on a flat surface.

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If f(x) = x/2 -3 and g(x) = 3x² + x - 6, find (f + g)(x). O A. 3x O B. 3x² + 3x-9 3x O C. 3.x2 + x - 3 O D. 4x2-9​
Olenka [21]

Answer:

4x2-9

Step-by-step explanation:

it would be that because the number is in the c acis

8 0
3 years ago
The average cost per hour in dollars of producing x riding lawn mowers is given by the following. C(x)=0.7x^2+25x-258+(2500/x).
Snezhnost [94]
A) See the attached graph.

b) $298.92 per hour

8 0
3 years ago
10. The sum of the digits of a three-digit number is 11. If the digits are reversed, the new number is 46
Zarrin [17]

Answer:

hope this helps

Step-by-step explanation:

The sum of the digits of a three-digit number is 11.

If the digits are reversed, the new number is 46 more than five times the old number.

If the hundreds digit plus twice the tens digit is equal to the units digit, then what is the number?

:

Write an equation for each statement:

:

"The sum of the digits of a three-digit number is 11."

x + y + z = 11

:

The three digit number = 100x + 10y + z

The reversed number = 100z + 10y + x

:

" If the digits are reversed, the new number is 46 more than five times the old number."

100z + 10y + x = 5(100x + 10y + z) + 46

100z + 10y + x = 500x + 50y + 5z + 46

combine on the right

0 = 500x - x + 50y - 10y + 5z - 100z + 46

499x + 40y - 95z = -46

:

"the hundreds digit plus twice the tens digit is equal to the units digit,"

x + 2y = z

x + 2y - z = 0

:

Three equations, 3 unknowns

:

x + y + z = 11

x +2y - z = 0

-----------------Addition eliminates z

2x + 3y = 11

From the 2nd equation statement, we know that the 1st original digit has to be 1

2(1) + 3y = 11

3y = 11 - 2

3y = 9

y = 3 is the 2nd digit

then

1 + 3 + z = 11

z = 11 - 4

z = 7

:

137 is the original number

:

:

Check solution in the 2nd statement

If the digits are reversed, the new number is 46 more than five times the old number."

731 = 5(137) + 46

731 = 685 + 46

7 0
3 years ago
Subtract (6a^2+3a) - (4a^2 + 2a)
Alexus [3.1K]

Answer:

2a² + a   (   or a(2a+1)   )

Step-by-step explanation:

(6a²+3a) - (4a² + 2a)  (expand parentheses)

= 6a²+3a - 4a² - 2a   (group like terms)

= 6a²- 4a²+3a- 2a

= 2a² + a

= a(2a+1)

7 0
3 years ago
Read 2 more answers
A taxi service charges an initial $5 fee , plus $2 per mile driven.
arlik [135]
Part A answer: 2x+5. x is the number of miles driven.

Part B answer: $305. Plug in 150 for x, and the equation is 2*150+5=x, x being your answer that you are looking for. Do the Order of Operations, which is PEMDAS (Parenthesis, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right.) So in other words, do 2*150 first, and you get 300. Now your equation is 300+5=x. Add 300+5, and you get 305=x. So your answer is $305.
6 0
3 years ago
Read 2 more answers
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