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grandymaker [24]
2 years ago
12

Question 1 (5 points)

Mathematics
1 answer:
Mila [183]2 years ago
6 0

Answer:

AB and CD would be 30

AC and BD would be 16

Step-by-step explanation:

The scale factor is what you multiply the sides by. Dilate means wider or larger so you multiply each side by the scale factor of 2 to get the higher scaled rectangle.

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What is the equation of the inverse function A(n)=3n-20
Allisa [31]

Answer:

A^{-1}(n)=\frac{1}{3}n+\frac{20}{3}

Step-by-step explanation:

First, let's change those variables to x and y, just for the sake of convenience.  In order to find the inverse of a function algebraically, switch the x and y coordinates, then solve for the new y.  Letting y = A(n) and x = n (we will switch them back when we're done):

y = 3x - 20.  This is linear; a line with a slope of 3 and a y-intercept of -20.  When we switch the x and the y, we get:

x = 3y - 20.  Now we solve for the new y.  Begin by adding 20 to both sides:

x + 20 = 3y.  Now divide both sides by 3:

\frac{x+20}{3}=y, or to write it in slope-intercept form, like the function you started with:

y=\frac{1}{3}x+\frac{20}{3}

This is also a line, with a slope of 1/3 and a y-intercept of +20/3

Now, replacing:

A^{-1}(n)=\frac{1}{3}n+\frac{20}{3}

That is how to write the inverse using function notation.  The little -1 as an exponent tells us that this is the inverse of the function A(n).

5 0
3 years ago
A circle k(O) with radius 4.5 cm is given. Through point A (OA=9 cm) draw two tangents to the circle. What is the measure of the
nadezda [96]

Answer:

60º

Step-by-step explanation:

Label the radii OB and OC where AB and AC are tangents. OB and OC are 4.5 cm as they are both radii. Then we can see that OBA and OCA are both right triangles with OBA=OCA=90º. OAB=OAC=30º because the side lengths fit the criteria for a 30-60-90 triangle. OAB+OAC=60º

8 0
3 years ago
For the line passing through the points (-3,1) and (2,-5)
Ronch [10]

Answer:

y=-6/5x-2.6

Step-by-step explanation:

7 0
3 years ago
Write the equation of this line from the table provided.
Ugo [173]

Answer:

y=2x-1

Step-by-step explanation:

If you are supposed to write the equation in slope-intercept format, (y=mx+b), then y=2x-1 would be the answer. 2 is the slope(m), and -1 is the y-intercept(b). I hope thus helped :).

3 0
3 years ago
Make a function table for y=-3x+3
Marina CMI [18]
X | Y
-2 | 9
-1 | 6
0 | 3
1 | 0
2 | -3
8 0
2 years ago
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