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Rus_ich [418]
3 years ago
15

A line perpendicular to the line y=1/2x+5 with y-intercept -2

Mathematics
1 answer:
mash [69]3 years ago
3 0
Y = 1/2x + 5...slope here is 1/2. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular slope is -2/1 or just -2 (see how I flipped the slope and changed the sign)

y = mx + b
slope(m) = -2
y int (b) = -2

so ur equation is : y = -2x - 2
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Answer:

x > 5

Step-by-step explanation:

Given that:

= -2(3x + 2) > -8x + 6

 (negative sign before bracket will alter the internal signs when multiplied by each term)

= -6x - 4 > -8x +6

Taking x terms on left side and other constants on right side

= -6x + 8x > 6 +4

Signs will be changer for transferred terms

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By Dividing both sides 2 we get

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= x >5

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anzhelika [568]

Answer:

(x+4)^2+(y-8)^2=85

Step-by-step explanation:

The standard equation for a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (h, k) is the center and r is the radius.

We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:

(x-(-4))^2+(y-8)^2=r^2\\

Simplify:

(x+4)^2+(y-8)^2=r^2

Now, we will need to find r.

We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:

(-2+4)^2+(-1-8)^2=r^2

Evaluate:

(2)^2+(-9)^2=r^2

Square:

4+81=r^2

Add:

r^2=85

So, r squared is 85.

We don’t actually have to solve for r itself, since we will have to square it anyways.

So, we have:

(x+4)^2+(y-8)^2=r^2

Substituting 85 for r squared, we get:

(x+4)^2+(y-8)^2=85

And we have our equation.

8 0
2 years ago
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Wewaii [24]

Answer:

9

Step-by-step explanation

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3 0
3 years ago
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