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masha68 [24]
3 years ago
11

I need help with #12 b

Mathematics
1 answer:
tino4ka555 [31]3 years ago
8 0

Answer:

y = 2x -33

Step-by-step explanation:

The line segment from the center (6, 4) to the given point (16, -1) is a radius of the circle. It is perpendicular to the tangent. Hence you need to write the equation of a line through point (16, -1) that is perpendicular to the line through that point and (6, 4).

The slope of the radius is ...

... ∆y/∆x = (-1-4)/(16-6) = -5/10 = -1/2

The slope of the tangent is the negative reciprocal of that, so is ...

... m = -1/(-1/2) = 2

In point-slope form, the tangent line through (16, -1) is

... y = m(x -h) +k

... y = 2(x -16) +(-1)

Simplifying, this is ...

... y = 2x -33

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The vector v=(7,1) lies entirely in quadrant 1. Give possible coordinates for the initial point and terminal point of the vector
slamgirl [31]

Answer:

A possible initial point is (1,4) and a possible terminal point is (8,5)

Step-by-step explanation:

The given vector is \vec{v}=(7,1).

We can rewrite this vector as:

\vec{v}=\binom{7}{1}

The x-components is 7 and the y-component is 1.

We can choose initial point (a,b) and terminal point (c,d) in the first quadrant such that c-a=7  and d-b=1

If a=1, and b= 4, then:

c-1=7  and d-4=1

This implies that:

c=7+1=8  and d=1+4=5

Therefore a possible initial point is (1,4) and a possible terminal point is (8,5)

6 0
3 years ago
8(2x- 6)= 96 solve for x
9966 [12]

Answer:

x=9

Step-by-step explanation:

To solve, simplify the equation them isolate x.

8(2x- 6) = 96   Distribute over brackets by multiplying

16x - 48 = 96   Add 48 to both sides

16x = 144         Divide both sides by 16

x = 9                Final answer

5 0
3 years ago
BRAINLIST<br><br> Write all the factors of 26.<br> Use commas to separate them.
Alex17521 [72]

Answer:

1, 2, 13, 26

Step-by-step explanation:

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4 years ago
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Solve.<br> 5x – 10 &lt; 20<br><br> (-00, 2]<br> (-0,2)<br> (-0, 6]<br> (-0,6)
schepotkina [342]

Answer:

-infinity, 6

Step-by-step explanation:

5x - 10 <= 20

5x <= 30

x <= 6

8 0
3 years ago
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Alborosie
The slope would be 9.
5 0
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