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Alex73 [517]
2 years ago
9

Evaluate each function. 14) g(x)= 3x² - 1; Find g(-3)

Mathematics
1 answer:
Vilka [71]2 years ago
6 0

Answer:

g(-3)= 26

Step-by-step explanation:

g(x)= 3x² - 1

g(-3) means use -3 for x in the given equation.

g(-3)= 3(-3)² - 1

g(-3)= 3(9) - 1

g(-3)= 27 - 1

g(-3)= 26

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Segment JK has a length of 4.5 units. If segment LM has end points of L (3,1) and M (-1,4), how much longer than segment JK is s
stepan [7]
Distance formula:
d= \sqrt{ (x_{2}-x_{1}) ^{2}+( y_{2} - y_{1} )^{2}}\\ d= \sqrt{ (3-(-1)) ^{2}+(1 - 4 )^{2}}\\ d= \sqrt{ (4) ^{2}+(-3)^{2}}\\ d=\sqrt{16+9}\\ d=\sqrt{25}\\ d=5

5 units-4.5 units=0.5 units

LM is 0.5 units longer than LM.
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3 years ago
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Step-by-step explanation:

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What is the image of point (4, 3) if the rotation is 90º ? Please and thank you.
Zielflug [23.3K]

Answer:  (-3, 4)


Step-by-step explanation: Given point coordinate (4,3).

We need to rotate the given point about 90º.

<em>In order to find the new coordinates of rotation 90°counterclockwise about the origin, we can apply rule (h, k) ---> (-k,h).</em>

Where (h,k) are the coordinates of original image on axes and (-k,h) are the coordinates of rotated image.


In resulting coordinates of the image first swap the x and y coordinates of the original image and then make the sign opposite of each x-coordinate.

On applying rule (h, k) ---> (-k,h), we get

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3 0
3 years ago
What is the equation of this graph
user100 [1]

Answer:

y-1=x^2

Step-by-step explanation:

That is the equation of a parabola with vertex at (0,1). The equation is y-1=x^2.

3 0
3 years ago
Make sure your answer is in degrees. You should be able to find this without a calculator.
natali 33 [55]

Answer:

Step-by-step explanation:

As 360°= 2 π Radian

1 Radian =  

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= Sin (-57°16'22")=-0.84147

2.

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3.  

= (5°43'38")

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8 0
2 years ago
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