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scZoUnD [109]
3 years ago
15

Find the slope of the through each pair of point (-10,4), (-2,6)

Mathematics
2 answers:
qwelly [4]3 years ago
4 0

Answer:

1/4

Step-by-step explanation:

slope=y2-y1/x2-x1

x1= -10

y1 = 4

x2 = -2

y2 = 6

putting values in formula

6-4/-2-(-10)

2/10-2

2/8

1/4

Allisa [31]3 years ago
3 0

Answer:

-\frac{1}{4}

Step-by-step explanation:

The formula for slope is m=\frac{y_{2} -y_{1} }{x_{2}-x_{1}  }.

Here, x_{1} is -10, x_{2} is -2, y_{1} is 4, and y_{2} is 6.

m=\frac{6-4}{-2+10}

m=\frac{2}{-8}

m=-\frac{1}{4}

The slope is -\frac{1}{4}.

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The analysis of the graph, that has x-intercepts of (0, 2), and (0, 5), we get;

a. The function increases when x > 4

b. The function decreases when x < 4

c. The function is greater than zero when x < 3, and x > 5

d. The function is less than zero when 3 < x < 5

<h3>What is a point where a function is increasing?</h3>

The location of a point where a function is increasing is where the slope of the function is larger than zero.

The description of the graph of the function are as follows;

The shape of the function  = Concave upwards

The coordinates of the vertex of the function = (4, -5)

The region where the function is decreasing is from -∞ to 4

The region where the function is decreasing is therefore; x < 4

At the vertex, (4, -5), the slope of the function is zero, therefore;

Therefore, the function is increasing where x > 4

The x-intercepts are at point (0, 3) and (0, 5)

Therefore, the function is greater than zero when x < 3, and when x > 5

The function is less than zero in the range 3 < x < 5

Learn more about the graph of functions here:

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7 0
2 years ago
Simplify this i need help
Temka [501]

Answer:

Step-by-step explanation:

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A is the answer

6 0
3 years ago
Which expression is the factorization of x2 + 10x + 212
Montano1993 [528]

Answer:

The answer is option 1.

Step-by-step explanation:

Firstly, you have to elaborate the expression :

{x}^{2}  + 10x + 21

=  {x}^{2}  + 3x + 7x + 21

Next you have to take out the common factors and factorize it :

{x}^{2}  + 3x + 7x + 21

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8 0
3 years ago
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Find the value of each variable so that PQRS is a parallelogram. Explain what allows you to do this.
Nataly [62]

Answer:

x = 5

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Step-by-step explanation:

Given

See attachment for parallelogram

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4 0
3 years ago
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