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Sedbober [7]
3 years ago
6

Write an equation of the line that passes through the points (-2,-7) and (0,-4). ​

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0

Answer:

Step-by-step explanation:

( x_{1} , y_{1} )

( x_{2} , y_{2} )

m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

y - y_{1} = m( x - x_{1} ) point - slope form of a line.

y = mx + b slope- intercept form of a line.

~~~~~~~~~~~~~~~~~

( - 2, - 7 )

( 0, - 4 )

m = \frac{- 4 - (-7)}{0 - (- 2)} = \frac{3}{2}

y - ( - 4 ) = \frac{3}{2} ( x - 0 )

y + 4 = \frac{3}{2} x

<em>y = </em>\frac{3}{2}<em> x - 4</em> slope- intercept form

<em>3x - 2y = 8</em> standard form

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Girl scout troops went on a hike. First they walked 1 mile East, then 2 miles South, then 3 miles West and 1 mile North,then 2 m
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Answer:

south

Step-by-step explanation:

telling what way it is north south east

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4 years ago
Please answer this question for points
alexgriva [62]

Answer:

<h2>y = -2x + -3</h2>

Step-by-step explanation:

Slope-intercept form is y = mx + b

"m" is the slope, how steep the line is.

"b" is the y-intercept, where to graph hits the y-axis.

Check the scale for this grid. Since there are "1" written on the first box after the middle, <u>one square = one unit</u>.

To find "m", use  m = \frac{rise}{run}   between the two dotted points on the graph. The first point is always on the left.

<u>"Rise" means how many squares above</u> the first point the second point is.

Since the second point is below the first point, the number is negative.

<u>"Run" means how many squares to the right</u> the second point is.

m = \frac{rise}{run}          

m = \frac{-2}{1}

m = -2

To find "b", look at where the graph it touching the y-axis.

The y-axis is the vertical line (going from top to bottom).

Count the number of squares from the grid's middle to the graph line.

There are 3 squares.

Since the graph touches below the origin, this is a negative number.

b = -3

In the boxes, you put negative two (-2) and negative three (-3).

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6 0
3 years ago
Dimetri says that a function that is made of terms where the variables is raised only to an odd power will be an odd function.Do
lana [24]

Here we want to study the relation between the exponents in a polynomial function and the "odd" property of functions.

We will see that Dimetri is correct.

-------------------------------

We start by defining an odd function as a function such that:

f(-x) = -f(x).

Now, let's see a simple function with only odd exponents.

f(x) = a*x  (the exponent is 1, so it is odd).

if we evaluate this in x = 1, we get:

f(1) = a

If we evaluate this in x = -1, we get:

f(-1) = a*-1 = -a

Then this is odd.

Now let's see a more general case and why Dimetri is correct.

For the rule of signs, when we multiply 2 negative numbers, the <u>product is positive.</u>

So always that we have an even exponent on a negative number, the outcome will be positive.

This does not happen for odd exponents, because we can't separate all the products in groups of 2, thus if we take the <u>odd exponent of a negative number, the outcome is negative</u>.

Then for functions with only odd exponents, the <u>outcome for evaluating the function in a given input is exactly the opposite of evaluating the same function with the opposite input</u>.

This means that the function is odd.

Again, note that this only happens if the function only has odd exponents.

If you want to learn more, you can read:

brainly.com/question/15775372

6 0
3 years ago
F(x) = |x| and g(x) = |x| + 3 The transformation applied to get the graph of g(x) from the graph of f(x) is
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4 years ago
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What is the answer<br> 1 – 4k – 5 = -5 +4- 7K + 6<br> K = 3<br> K= -5<br> K=0<br> K = -7
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Step-by-step explanation:

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