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OverLord2011 [107]
3 years ago
5

Can you find the distance between two points using absolute value

Mathematics
2 answers:
kenny6666 [7]3 years ago
7 0

Answer: yes you can

Step-by-step explanation:

EleoNora [17]3 years ago
3 0

This depends. The way you do this is by taking these two points and by adding their absolute values together, this therefore finds their difference. This only works if one number is positive and one in negative. If two numbers are on the same side of the number line you CANNOT find their difference with absolute value.

Hope this helps, if not, comment below please!!!!

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Which are linear and nonlinear?
Nostrana [21]
All but the first should be linear. Im questionable about the last one but the other 2
 should definitely be linear
5 0
3 years ago
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Hello I don’t understand question 9 a and b. Please show working out.<br> Thanks
brilliants [131]
A) I would make the positive integer x and then form an equation.

x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6

Since the question asks for a positive integer the answer is 7.

B) two positive numbers x and y.

X - y = 3
x^2 + y^2 = 117

Use these simultaneous equations to figure out each number.

Rearrange the first equation

x = y + 3

Then substitute it into the second equation.

(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)

This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.

Use y to find x

x = y + 3
x = 6 + 3
x = 9

So the answers are x = 9 and y = 6.
3 0
3 years ago
The bawden family is shopping for a new television.They are making their decision based on brand and sizes.The family has 20 pos
nalin [4]
I think it’s 10that’s what I think
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2 years ago
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Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a
Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

\vec F = (27.189,12.679)\,[lbf]

Vector (ordered pair - polar form)

\vec F = (30\,lbf, 25^{\circ})

Sum of vectorial components (linear combination)

\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force (\vec F), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

\vec F =  \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right) (1)

Vector (ordered pair - polar form)

\vec F = \left(\|\vec F\|, \theta\right)

Sum of vectorial components (linear combination)

\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j} (2)

Where:

\|\vec F\| - Norm of the vector force, in newtons.

\theta - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

\hat{i}, \hat{j} - Orthogonal axes, no unit.

If we know that \|\vec F\| = 30\,lbf and \theta = 25^{\circ}, then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]

\vec F = (27.189,12.679)\,[lbf]

Vector (ordered pair - polar form)

\vec F = (30\,lbf, 25^{\circ})

Sum of vectorial components (linear combination)

\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]

\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]

8 0
2 years ago
“Solve the equation. Determine if it is undefined or not.”
lozanna [386]

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               b) Infinite Solutions  (All Real Numbers)

<u>Step-by-step explanation:</u>

4(g + 8) = 7 + 4g

4g + 32 = 7 + 4g      <em>distributed 4 into g + 8</em>

        32 = 7             <em> subtracted 4g from both sides</em>

Since the statement is false because 32 ≠ 7, then there is NO SOLUTION

-4(-5h - 4) = 2(10h + 8)

20h + 16  = 20h + 16       <em>distributed</em>

           16  =           16        <em>subtracted 20h from both sides</em>

Since the statement is true because 16 = 16, then there are INFINITE SOLUTIONS so x can be all real numbers.

8 0
3 years ago
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