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3 years ago

14

1) Is (3,0) in the same location as (0,3) if you were to graph them? Why or why not

1 answer:

Lina20 [59]3 years ago

8 0

1) No the locations are not the same. To get to the point (3,0), you would move 3 units to the right of the origin. To get to (0,3), you would move 3 units up from the origin. The origin is the starting point every time to help set a frame of reference.

2) The origin (0,0) is the only point in which you can reverse the coordinates and have the same location

3) This is basically a repeat of problem 2 above. The same answer (0,0) which is the origin applies here.

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3 years ago

In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD=√2 cm.

Zielflug [23.3K]

Given that triangle ABC is right angle triangle. CD is altitude such that AD=BC

ABC is a right angle triangle so apply Pythogorean theorem

$AC^{2} + BC^{2} = AB^{2}$

$AC^{2} + AD^{2} = AB^{2}$ (Given that AD = BC)

$AC^{2} + AD^{2} = 3^{2}$ (Given that AB=3)

$AC^{2} + AD^{2} = 9$ ...(i)

ADC is a right angle triangle so apply Pythogorean theorem

$AD^{2} + CD^{2} = AC^{2}$

$AD^{2}+(\sqrt{2})^2= AC^{2}$

$AD^{2}+2= AC^{2}$

$AD^{2}=AC^{2} -2$ ...(ii)

Plug value (ii) into (i)

$AC^{2} + AC^{2}-2 = 9$

$2AC^{2} -2=9$

$2AC^{2} =11$

$AC^{2} =\frac{11}{2}$

$AC=\sqrt{\frac{11}{2} }$

Hence final answer is $AC=\sqrt{\frac{11}{2} }$

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3 years ago

Read 2 more answers

If the values in the table below model a proportional relationship, what is the equation for the function?

Jet001 [13]

Given:

The table represents a proportional relationship.

To find:

The equation of the function.

Solution:

If y is directly proportional to x, then

$y\propto x$

$y=kx$ ...(i)

where, k is the constant of proportionality.

From the given table it is clear that the function passes through (2,1). So, the equation must be satisfied by the point (2,1).

Putting x=2 and y=1 in (i), we get

$1=k(2)$

$\dfrac{1}{2}=k$

Putting $k=\dfrac{1}{2}$ , we get

$y=\dfrac{1}{2}x$

Therefore, the correct option is A.

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3 years ago