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2 years ago

What is the perimeter of a semicircle if the diameter is 2

Mathematics

2 answers:

Lelechka [254]2 years ago

5 0

Answer: π+2

Step-by-step explanation:

perimeter of a whole circle is

2πr

r = 1

2π

divide by 2 bc its a semicircle

2π/2 = π

π+diameter

π+2

e-lub [12.9K]2 years ago

4 0

Answer:

Step-by-step explanation:

d = 2

arc length of semicircle = ½×circumference = ½×πd = π

perimeter of semicircle = π + d = π+2

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BigorU [14]

Median:15 1,11,14,15,31,37,47
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3 years ago

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What is the solution set to the inequality 5(x - 2)(x + 4) > 0?

Butoxors [25]

Answer:

You selected the correct answer: {x | x <<em> </em>-4 or x > 2}

Step-by-step explanation:

5(x - 2)(x + 4) > 0

Use FOIL method to expand (x - 2)(x + 4):

$5(x^{2} + 2x - 8)$ > 0

Distribute 5 into $(x^{2} + 2x - 8)$

$5x^{2} + 10x - 40$ > 0

Divide all terms by 5 from both sides of the inequality:

$\frac{5x^{2}}{5} + \frac{10x}{5} - \frac{40}{5} > \frac{0}{5}$

$x^{2} + 2x - 8 > 0$

Factor the trinomial:

(x + 4) ( x - 2) > 0

x < -4 or x > -2

Therefore, the solution set to the inequality is {x | x < -4 or x > 2}

<em>Interval notation: </em>(-∞, -4) ∪ (2, ∞)

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2 years ago

write the equation of the line perpendicular to y= 5/2x+3 that passes through the point (-7,9). Type an answer using slope-inter

omeli [17]

Answer:

5y = -2x + 31

Step-by-step explanation:

Given equation:

y = $\frac{5}{2} x + 3$

Coordinate = (-7,9)

Unknown:

Equation of the line perpendicular = ?

Solution:

The slope - intercept format of a line is given as;

y = mx + c

where y and x are the coordinates

m is the slope

c is the y-intercept

y = $\frac{5}{2} x + 3$

From the given equation; slope is $\frac{5}{2}$

A line perpendicular will have a slope that is negative and the inverse of this;

slope of perpendicular line = $-\frac{2}{5}$

Since y= 9 and x = -7;

So;

9 = $\frac{-2}{5} x (-7)$ + C

9 = $\frac{14}{5}$ + C

C = 9 - $\frac{14}{5}$ = $\frac{31}{5}$

Now,

y = $-\frac{2}{5}$ x + $\frac{31}{5}$

mulitply through by 5;

5y = -2x + 31

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3 years ago

On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4). What is the equation of the line th

Novay_Z [31]

Answer:

$y=3x-5$

Step-by-step explanation:

step 1

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we have

(-3,2) and (0,1)

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step 2

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Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of its slopes is -1)

The slope is

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step 3

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we have

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$point(3,4)$

$y-4=3(x-3)$ ----> equation in point slope form

Convert to slope intercept form

$y=3x-9+4$

$y=3x-5$

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