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3 years ago

If a circle has a diameter of 30 meters, which expression gives its area in

Mathematics

1 answer:

sattari [20]3 years ago

3 0

Answer:

C. 15²π

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Diameter: d = 2r
Area of a Circle: A = πr²

Step-by-step explanation:

Step 1: Define

d = 30 m

Step 2: Find Area

Substitute [D]: 30 m = 2r
Isolate r: 15 m = r
Rewrite: r = 15 m
Substitute [AC]: A = π(15 m)²
Rearrange: A = 15²π

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3 years ago

Write the equation of the line that passes through the points (2,−8) and (1,7). Put your answer in fully reduced point-slope for

ValentinkaMS [17]

Point-slope form of equation is: $y - 7 = -15(x-1)$

Step-by-step explanation:

Given points are:

(2,-8) and (1,7)

First of all we have to calculate the slope of the line

so,

$m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15$

Point-slope form is given by:

$y-y_1 = m(x-x_1)$

Putting the value of slope

$y-y_1 = -15(x-x_1)$

We can put any one of two given points in the equation to find the final form of point-slope form

Putting (1,7) in the equation

$y - 7 = -15(x-1)$

Hence, point-slope form of equation is: $y - 7 = -15(x-1)$

Reducing and simplifying

$y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8$

Keywords: Point-slope form, equation of line

Learn more about equation of line at:

#LearnwithBrainly

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3 years ago

Which two equations are parallel?

Mekhanik [1.2K]

Answer: The third option is correct.

Step-by-step explanation:

In order for two equations to be parallel, the equations' slopes must be the same.

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2 years ago

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3 years ago

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Vadim26 [7]

Answer:

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Step-by-step explanation:

so im guessing k=1/3

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3 years ago