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1 year ago

Find the equation of the line

Mathematics

1 answer:

alekssr [168]1 year ago

8 0

Answer:

y=-¹/₃x+5

Step-by-step explanation:

y=ax+b

(0,5) (6,3)

x=0 y=5, x=6 y=3

5=a*0+b

3=a*6+b

5=b

3=6a+b

6a+5=3

6a=-2

a=-¹/₃

y=-¹/₃x+5

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X = ? y = ? 16 45 degrees

mezya [45]

Let's put more details in the figure to better understand the problem:

Let's first recall the three main trigonometric functions:

$\text{ Sine }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Hypotenuse}}$ $\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}$ $\text{ Tangent }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Adjacent Side}}$

For x, we will be using the Cosine Function:

$\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}$ $Cosine(45^{\circ})\text{ = }\frac{\text{ x}}{\text{ 1}6}$ $(16)Cosine(45^{\circ})\text{ = x}$ $(16)(\frac{1}{\sqrt[]{2}})\text{ = x}$ $\text{ }\frac{16}{\sqrt[]{2}}\text{ x }\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{16\sqrt[]{2}}{2}$ $\text{ 8}\sqrt[]{2}\text{ = x}$

Therefore, x = 8√2.

For y, we will be using the Sine Function.

$\text{ Sine }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Hypotenuse}}$ $\text{ Sine }(45^{\circ})\text{ = }\frac{\text{ y}}{\text{ 1}6}$ $\text{ (16)Sine }(45^{\circ})\text{ = y}$ $\text{ (16)(}\frac{1}{\sqrt[]{2}})\text{ = y}$ $\text{ }\frac{16}{\sqrt[]{2}}\text{ x }\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{16\sqrt[]{2}}{2}$ $\text{ 8}\sqrt[]{2}\text{ = y}$

Therefore, y = 8√2.

5 0

1 year ago

Sketch a line with a slope of -2 and another with a slope of -4

WINSTONCH [101]

Answer:

Step-by-step explanation:

Try and become familiar with a program like Desmos. It will do wonderful things for you.

I have graphed

Red: y = -2x + 5 (The 5 is the y intercept. For this question it could be anything.

Blue: y = - 4x + 5 Same note as above.

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3 years ago

Suppose A and B represent two different school populations where A > B and A and B must be greater than 0. Which of the follo

Ulleksa [173]

We can reject the last one: subtracting a non-zero value will result in a smaller value.

So now we have:

<span>2(A + B)
(A + B)2
A2 + B2

If all of them are mulptiplications, then they are all equivalent!

I mean by this, if what you meant is this:

</span>
<span>2*(A + B)
(A + B)*2
A*2 + B*2

If there is no sign, then the multiplication sign is implicit,

and all of these expressions say exactly the same: two of A and two of B.
</span>

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3 years ago

I'm completely lost?

aliya0001 [1]

13000-5600=7400...that's about it, just multiply then subtract

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3 years ago

Read 2 more answers

Please help ASAP please I’ll mark as brainlister

faust18 [17]

Problems

The bottom of the red figure should be long; similar to the top of the blue figure.

The top of the red figure should be the same as the bottom of the blue figure.

Red are: (1, -1), (4, -1), (1, -5), (3, -5), (2, -2), (2, -4), (3, -4), (4, -2), (4, -2)

red points should be:

(1, -1), (3, -1), (1, -5), (4, -5), (2, -2), (2, -4), (4, -4), (3, -2), (3, -2),

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