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Norma-Jean [14]
3 years ago
12

1. Which point is on the circle described by (x - 2)2 + (y + 3)2 = 4?

Mathematics
1 answer:
dlinn [17]3 years ago
7 0

Answer:

(1,-4)

Step-by-step explanation:

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Write an equation in point-slope form of the line that passes through the point (5, 6) with slope 3/5​
I am Lyosha [343]

Answer:

(y - 6) = 3/5(x - 5)

Step-by-step explanation:

First, let's look at what point-slope form is: (y - y₁) = m(x - x₁)

Let's plug in the vallues we know.

m is the slope: 3/5

x₁ is 5

y₁ is 6

Therefore:

(y - 6) = 3/5(x - 5)

This is your equation.

Hope this helps!

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If your car gets 27.6 mi/gal, how many gallons of gasoline would you use if you drove 552.4 miles
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Miles driven = 552.4 mi

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3 years ago
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3 years ago
Help asap!!!!!!Order the number below from least to greatest
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Find an equation for those points P such that the distance from P to A(0, 1, 2) is equal to the distance from P to B(6, 4, 2). W
suter [353]

Answer:  The required equation for points P is 4x+2y=17.

Step-by-step explanation: We are give two points A(0, 1, 2) and B(6, 4, 2).

To find the equation for points P such that the distance of P from both A and B are equal.

We know that the distance between two points R(a, b, c) and S(d, e, f) is given by

RS=\sqrt{(d-a)^2+(e-b)^2+(f-c)^2}.

Let the point P be represented by (x, y, z).

According to the given information, we have

PA=PB\\\\\Rightarrow \sqrt{(x-0)^2+(y-1)^2+(z-2)^2}=\sqrt{(x-6)^2+(y-4)^2+(z-2)^2}\\\\\Rightarrow x^2+y^2-2y+1+z^2-4z+4=x^2-12x+36+y^2-8y+16+z^2-4z+4~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow -2y+1=-12x-8y+52\\\\\Rightarrow 12x+6y=51\\\\\Rightarrow 4x+2y=17.

Thus, the required equation for points P is 4x+2y=17.

8 0
3 years ago
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