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3 years ago

6

Area of parts of circles

1 answer:

givi [52]3 years ago

8 0

Area of semicircle = (πr²) ÷ 2

Area of semicircle:
= (3.14)(2)² ÷ 2

= (3.14)(4) ÷ 2

= 12.56/2

= 6.28

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Write an equation in slope intercept form that is perpendicular to 3x + 2y equals 12 and passes through the point (1,2)

Zigmanuir [339]

Answer:

The equation is y = (2/3)x + (4/3).

Step-by-step explanation:

First, you have to change the equation into slope-intecept formula to find its gradient (slope) :

$3x + 2y = 12$

$2y = - 3x + 12$

$y = - \frac{3}{2}x + 6$

Given that when a line is perpendicular to the other line, their slope value multiplied, will form -1. Next, we have to find the slope for line :

$m1 \times m2 = - 1$

$- \frac{3}{2} \times m2 = - 1$

$m2 = - 1 \div - \frac{3}{2}$

$m2 = \frac{2}{3}$

Lastly, we have to subatitute the x and y values into the equation, to find its intercept value :

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

$let \: x = 1,y = 2$

$2 = \frac{2}{3} (1) + b$

$b = 2 - \frac{2}{3}$

$b = \frac{4}{3}$

$y = \frac{2}{3} x + \frac{4}{3}$

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3 years ago

5. Which number is a perfect cube? <br> 7<br> 25<br> 66<br> 27

Veseljchak [2.6K]

The answer is 27 because the cubed root is 3

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3 years ago

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madam [21]

Answer:

It's about 3 feet

Step-by-step explanation:

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2 years ago

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For the graphed function f(x) = -(5)* - 3 + 2, calculate the average rate of change from x = 3 to x = 4.

Ilia_Sergeevich [38]

Answer:

-4

Step-by-step explanation:

The average rate of change from x=a to x=b of f(x) is $\frac{f(b)-f(a)}{b-a}$

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$f(4)=-5^{4-3}+2=-3$ .

$f(4)=-5^{3-3}+2=1$ .

The average rate of change from x=3 to x=4 is given by:

$\frac{f(4)-f(3)}{4-3}$

$\frac{-3-1}{4-3}=-4$

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3 years ago

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2 years ago

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