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3 years ago

What’s the slope of this line?

Mathematics

2 answers:

Oksanka [162]3 years ago

6 0

Answer:

-1

Step-by-step explanation:

The formula for slope is: $\frac{y_1-y_2}{x_1-x_2}$ where $(x_1,y_1)$ and $(x_2,y_2)$ are points

Plug in (-5,3) and (-3,1) into the equation, and you get:

$\frac{-5-(-3)}{3-1} =\\\frac{-2}{2} =\\-1$

Sloan [31]3 years ago

3 0

For me i’ll say the answer is -1 and it’s the right answer

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3 years ago

The domain of y = cosx is the set of real numbers. True False

artcher [175]

Answer:

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Step-by-step explanation:

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2 years ago

All my points to whoever can solve this

tankabanditka [31]

Answer:

1/5 + 2/5 i sqrt(6) = .2 + .98i

1/5 - 2/5 i sqrt(6) = .2 - .98i

Step-by-step explanation:

5z^2−9z=−7z−5

We need to get all the terms on one side (set the right side equal to zero)

Add 7z to each side

5z^2−9z+7z=−7z+7z−5

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5z^2−2z+5=−5 +5

5z^2−2z+5=0

This is in the form

az^2 +bz+c = 0 so we can use the quadratic formula

where a = 5 b = -2 and c = 5

-b± sqrt(b^2-4ac)

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-(-2)± sqrt((-2)^2-4(5)5)

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2(5)

2± sqrt(4-100)

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2± sqrt(-96)

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2± sqrt(16)sqrt(-1) sqrt(6)

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2± 4i sqrt(6)

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1/5 ± 2/5 i sqrt(6)

Splitting the ±

1/5 + 2/5 i sqrt(6) = .2 + .98i

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3 years ago

What is 3x - y = 17<br> x + y = -5

Virty [35]

Answer:

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Step-by-step explanation:

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3 years ago

Josh is on a road trip returning home from vacation. The graph below showst shows distance remaining at various times on the tri

zheka24 [161]

Answer:

Part a) $y=-40x+160$

Part b) see the explanation

Part c) $40\ \frac{miles}{hour}$

Step-by-step explanation:

The picture of the question in the attached figure

Let

x ----> the time in hours

y ----> the number of miles from Josh's home

Part a) What is the equation of the line, written in slope-intercept form?

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take the intercepts points

(0.160) and (4,0)

substitute

$m=\frac{0-160}{4-0}$

$m=\frac{-160}{4}=-40$

The negative slope means that the function is decreasing

step 2

Find the equation of the line

$y=mx+b$

we have

$m=-40\\b=160$

$y=-40x+160$

Part b) Based on the linear model, predict how far Josh is away from home when he starts?

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the graph

For x=0

y=160 miles

therefore

When Josh starts, he's 160 miles away from his house.

Part c) Approximately how fast is he traveling on his trip?

Remember that the speed is equal to divide the distance by the time

In this problem, the slope of the linear equation is the same that the speed

$40\ \frac{miles}{hour}$

6 0

3 years ago