3x-5y= -25 Solve for x

Mathematics

1 answer:

UkoKoshka [18]3 years ago

7 0

Your answer will x= 5y/3-25/3

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Write the general equation for the circle that passes through the points (-1,2)(4,2)(-3,4)

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Answer:

x² + y² - 3x - 13y + 18 = 0

Step-by-step explanation:

Recall that the general equation of a circle looks something like this:

x² + y² + Ax + By + C = 0

substituting each of the points into the equation we get:

for (-1,2)

(-1)² + (2)² + A(-1) + B(2) + C = 0

1 + 4 -A+2B + C = 0

-A + 2B + C + 5 = 0 ------------ eq 1

for (4,2)

(4)² + (2)² + A(4) + B(2) + C = 0

16 + 4 + 4A + 2B + C = 0

4A + 2B + C + 20 = 0 ------------- eq 2

for (-3,4)

(-3)² + (4)² + A(-3) + B(4) + C = 0

9 + 16 -3A + 4B + C = 0

-3A + 4B + C + 25= 0 ----- eq 3

Now we have a system of equations with 3 equations and 3 unknowns.

Solving for A, B and C, we eventually get:

A = -3, B = -13, C = 18

Substituting these into the general equation:

x² + y² + Ax + By + C = 0

x² + y² - 3x - 13y + 18 = 0

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4 years ago

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Allisa [31]

Try this option (see the attached picture):

1. to determine an equation of line y₁, which ⊥y and includes point a(0;5);

2. to calculate intersection point of y and y₁ (point B);

3. to calculate distance between the point A and B, using vectors properties.

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Seth's family plans to drive 220 miles to their vacation spot. They would like to complete the drive in 4 hours. Find the averag

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Just divide 220 by 4 to get the answer. So the answer is 55.

Explanation:

220/4=55

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Miles/hours=miles per hour

Brainliest my answer if it helps you out

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3 years ago

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Helga [31]

Answer:

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