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kramer
3 years ago
9

Find the slope of the line passing through the points (-3, 7) and (2, -6)

Mathematics
1 answer:
Sliva [168]3 years ago
4 0

Answer:

The slope of the line passing through the points (-3, 7) and (2, -6) is -13/5.

Step-by-step explanation:

Use the slope formula to find the slope of the line based on two points.

m = y₂ - y₁/x₂ - x₁

Substitute the values

m = -6 - 7/2 - (-3)

Simplify.

m = -13/5

The slope of this line is -13/5.

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I NEEEED HELPPPPPP!!!!!!!!!!!!!!!!!!!!!!!
o-na [289]

△DEF is rotated about point N to △D′E′F′.


A rotation is a transformation that turns a figure about a fixed point called the center of rotation. In your case the center of rotation is point N. A rotation is an isometric transformation: the original figure and the image are congruent. Main properties of rotation:

1) A rotation preserves lengths of segments.

2) A rotation preserves degrees of angles.

3) A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.


Therefore, option C is true (because the original figure and the image are congruent) and option D is false (because the original figure and the image must be congruent).


All corresponding points on the image and pre-image are equidistant to point N. This option is true (because rotation preserves lengths of segments), thus, DN≅D'N'.

4 0
3 years ago
Describe the transformations from the parent function f(x)=x^2 to the function g(x+2)^2+5
jolli1 [7]

Answer:

The parent function is the simplest form of the type of function given.

g

(

x

)

=

x

2

The transformation being described is from  

g

(

x

)

=

x

2

to  

f

(

x

)

=

x

2

.

g

(

x

)

=

x

2

→

f

(

x

)

=

x

2

The horizontal shift depends on the value of  

h

. The horizontal shift is described as:

f

(

x

)

=

f

(

x

+

h

)

- The graph is shifted to the left  

h

units.

f

(

x

)

=

f

(

x

−

h

)

- The graph is shifted to the right  

h

units.

In this case,  

h

=

0

which means that the graph is not shifted to the left or right.

Horizontal Shift: None

The vertical shift depends on the value of  

k

. The vertical shift is described as:

f

(

x

)

=

f

(

x

)

+

k

- The graph is shifted up  

k

units.

f

(

x

)

=

f

(

x

)

−

k

- The graph is shifted down  

k

units.

In this case,  

k

=

0

which means that the graph is not shifted up or down.

Vertical Shift: None

The graph is reflected about the x-axis when  

f  (

x

)

=

−

f

(

x

)

.

Reflection about the x-axis: None

The graph is reflected about the y-axis when  

f

(

x

)

=

f

(

−

x

)

.

Reflection about the y-axis: None

Compressing and stretching depends on the value of  

a

.

When  

a

is greater than  

1

: Vertically stretched

When  

a

is between  

0

and  

1

: Vertically compressed

Vertical Compression or Stretch: None

Compare and list the transformations.

Parent Function:  

g

(

x

)

=

x

2

Horizontal Shift: None

Vertical Shift: None

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: None

image of graph

5 0
3 years ago
What’s the cube root of 343???
Whitepunk [10]

Answer: 7

Step-by-step explanation:

8 0
3 years ago
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laila [671]

Answer:

30 and 15

Step-by-step explanation:

8 0
3 years ago
Please hurry due today what’s the area
Nataly_w [17]

Answer:

A≈46.4

Step-by-step explanation:

8 0
3 years ago
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