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3 years ago

What is the point-slope form of a line with slope 6 that contains the same point (1,2)

1 answer:

3 0

Step 1: Create an equation with a slope of 6
y=6x+b

Step 2: Substitute x and y by with the point (1,2) and solve the equation for b
y=6x+b
2=6(1)
2=6
2=6+b
b=-4

Step 3: Substitute -4 for b in the equation
y=6x+b
y=6x+(-4)
y=6x-4

The equation that has a slope of 6 and passes through the point (1,2) in point-slope form:
y=6x-4

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Given the center and radius of a circle, write the equation of the circle.

Mashutka [201]

Answer:

(x + 2)² + (y - 1)² = 25

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Pre-Calc

Circle Center Formula: (x - h)² + (y - k)² = r²

(h, k) is center
r is radius

Step-by-step explanation:

Step 1: Define

Identify variables

(h, k) = (-2, 1)

r = 5

Step 2: Find Equation

Substitute in variables [Circle Center Formula]: (x - -2)² + (y - 1)² = 5²
Simplify: (x + 2)² + (y - 1)² = 25

Topic: Pre-Calculus

Unit: Conics

Book: Pre-Calculus (McGraw Hill)

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3 years ago

Marco has 10 quarts of water and 20 cups of milk. How much liquid does he have in all?

emmasim [6.3K]

17 and a half cups would be the answer because of the poopo

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3 years ago

The base of a cube is 36cm. What is the volume of the cube?

sasho [114]

Answer:

46656

Step-by-step explanation:

8 0

3 years ago

Factoring Quadratic Expressions: 5p^2 - p - 18

Dennis_Churaev [7]

$5 p^{2} -p-18$

$5 p^{2}-10p+9p-18$

$5p(p-2)+9(p-2)$

$(p-2)(5p+9)$

3 0

3 years ago

A drawing has a scale 1/4 in: 12ft. How long is 8ft?

allochka39001 [22]

If you use a proportion, you'll get:

$\frac{0.25}{12} = \frac{x}{8}$

Then, you use cross products:

$12x=0.25(8) \\ 12x=2$

Then, you algebraically solve x:

$12x=2 \\ \frac{12x}{12} = \frac{2}{12} \\ x= \frac{5}{3}$

The answer is 5/3 inches , or 1 5/13 inches, or 1.6 repeating.

4 0

3 years ago