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Alex73 [517]
3 years ago
9

Help me please- thank you

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
8 0

Answer:

y=-8/5x+4

Step-by-step explanation:

The slope of perpendicular lines is the opposite reciprocal of the original equation.

To get the opposite reciprocal, flip the fraction and use the opposite sign.

Here, the slope is -8/5 because that is the opposite of 5/8.

To get the equation of the line, use point-slope and then distribute to get the equation in y=mx+b format.

Point slope: y-y1=m(x-x1). Use the coordinate (5,-4) in the equation.

y+4=-8/5(x-5)

Multiply (x-5) by -8/5 and simplify.

y+4=-8/5x+8

y=-8/5x+4

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charle [14.2K]

Use the formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

(-8,\ -6),\ (4,\ 10)\\\\d=\sqrt{(4-(-8))^2+(10-(-6))^2}=\sqrt{12^2+16^2}\\\\=\sqrt{144+256}=\sqrt{400}=\boxed{20}\\\\(5,\ 14),\ (-3,\ -9)\\\\d=\sqrt{(-3-5)^2+(-9-14)^2}=\sqrt{(-8)^2+(-23)^2}\\\\=\sqrt{64+529}=\boxed{\sqrt{593}\approx24.35}

7 0
3 years ago
Describe the 2 transformations that occur when the graph of f(x) =x −−√ is transformed to the graph of g(x) = 2x√ +3 .
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Answer:

Dilation followed by Translation.

Step-by-step explanation:

We have the function f(x)=\sqrt{x}.

The new transformed function is g(x)=2\sqrt{x}+3

Now, the transformation applied to f(x) to obtain g(x) are:

1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.

Since, we are dilating the given function by 2 units, the new dilated function becomes 2\sqrt{x}.

2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.

As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes g(x)=2\sqrt{x}+3.

Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.

5 0
3 years ago
What is a rational number between 6.2 and 6.3
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.1 is the rational number
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If someone tells you your body temperature is 98.6°, what scale is being used? How do you know?
Alla [95]

Answer:

Fahrenheit

Step-by-step explanation:

When I am getting my temperature checked, it is usually checked in Fahrenheit, and my temperature is around 98.6 degrees.

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Change this Mixed number into a improper fractions: 3 and 6/8
WITCHER [35]

Answer:

30/8

Step-by-step explanation:

4 0
3 years ago
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