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Nat2105 [25]
3 years ago
14

What is y+4=-6(x+6) witten in standard form?

Mathematics
1 answer:
Scrat [10]3 years ago
4 0

Answer:

6x + y = -40

General  Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property
  • Equality Properties

<u>Algebra I</u>

Standard Form: Ax + By = C

Point-Slope Form: y - y₁ = m(x - x₁)  

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Step-by-step explanation:

<u>Step 1: Define</u>

[Point Slope]   y + 4 = -6(x + 6)

<u>Step 2: Rewrite</u>

<em>Find standard form</em>

  1. Distribute -6:                         y + 4 = -6x - 36
  2. Add 6x on both sides:          6x + y + 4 = -36
  3. Subtract 4 on both sides:    6x + y = -40
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Order these numbers for lest to greatest 1/2 ,1.1 ,5/3 ,2, 0 ,0.4, -2 ,5/8
Nat2105 [25]

The least number should always start off with negatives if there are any. In this case there is so we can start with -2 as our least amount. Next are the small fractions. If you're allowed a calculator, I would use that to find what the decimals will look like for each fraction:

\frac{1}{2} =0.5\\ \\ \frac{5}{3} =1.6666666666666666666666666666667\\ \\ \frac{5}{8} =0.625

After -2 the next least number is 0 and the next one is the fraction or decimal closest to the number 0 which is 0.4

The next number would be from the fractions we solved earlier. 0.5 and 0.625 would follow 0.4 and then 1.1 and 1.6667(solved for from fraction).

Here is the list:

-2,0,0.4,\frac{1}{2} ,\frac{5}{8} ,1.1,\frac{5}{3}

Hope this helps!


6 0
3 years ago
Very confusing i know
777dan777 [17]

Answer:

  • (x + 10)² + (y + 4)² = 232

Step-by-step explanation:

<h3>Given </h3>
  • Center = (-10, -4)
  • Point on circle = (4, 2)
<h3>To find </h3>
  • The equation of circle
<h3>Solution</h3>

<u>Remember the standard equation of circle:</u>

  • (x - h)² + (y - k)² = r², where (h, k) is the center and r is radius

<u>We have</u>

  • h = -10, k = -4

Use distance formula (Pythagorean theorem) to work out the length of the radius. We know that radius is the distance from the center to any point on the circle.

<u>Here we are finding the distance between points (-10, -4) and (4, 2)</u>

  • r² = (-10 - 4)² + (-4 - 2)²
  • r² = 14² + 6²
  • r² = 232

<u>So the equation is:</u>

  • (x + 10)² + (y + 4)² = 232
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