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Mathematics

1 answer:

dalvyx [7]3 years ago

5 0

Answer:

G. x+ 8 ≤ =15

Step-by-step explanation:

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Find the circumference of a circle whose area is 24 * pi ft squared

Ahat [919]

Area = 24*Pi ft²

Area = Pi*r²

Pi*r² = 24*Pi

Canceling out Pi

r² = 24

Take square root of both sides

r = √24

r ≈ 4.899

Circumference = 2*pi*r

≈ 2*pi*4.899

≈ 2*3.141*4.899

≈ 30.78

Circumference ≈ 30.78 units.

Hope this explains it.

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3 years ago

Which shows a set of three equivalent decimals?

Bezzdna [24]

The best choice is A)

when you add a zero, it does not count on a decimal, so,

1.9, 1.90, 1.900.

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3 years ago

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Write an equation of the perpendicular bisector of the segment with end points M(1,5) and N(7,-1)

vitfil [10]

The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:

$P=\dfrac{(1,5)+(7,-1)}{2}=\dfrac{(8,4)}{2}=(4,2)$

Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:

$m_r=\dfrac{\Delta y}{\Delta x}=\dfrac{5-(-1)}{1-7}=\dfrac{6}{-6}\iff m_r=-1$

$p\perp r\Longrightarrow m_p\cdot m_r=-1\Longrightarrow m_p\cdot(-1)=-1\iff m_p=1$

We can calculate the equation of p by using its slope and its point P:

$y-y_P=m_p(x-x_P)\\\\
y-2=1\cdot(x-4)\\\\
y-2=x-4\\\\
\boxed{p:~~y=x-2}$

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3 years ago

Evaluate the expression |-16|-|-2|

DIA [1.3K]

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3 years ago

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The rational function has a y-intercept of 7. What is the equation for this function?

Schach [20]

Answer:

$\large\boxed{f(x)=\dfrac{4}{x+2}+5}$

Step-by-step explanation:

$f(x)=\dfrac{a}{x-b}+c\\\\\text{We have}\\\text{(1) the vertical asymptote}\ x=-2.\ \text{Therefore}\ b=-2.\\\text{(2) the horizontal asymptote}\ y=5.\ \text{Therefore}\ c=5.\\\text{(3) the point (0, 7). Put the coordinates of the point to the equation}\\\text{of the function}\\y=\dfrac{a}{x-(-2)}+5\\\\7=\dfrac{a}{0+2}+5\qquad\text{subtract 5 from both sides}\\\\2=\dfrac{a}{2}\qquad\text{multiply both sides by 2}\\\\4=a\to a=4\\\\\text{Finally:}\\\\f(x)=\dfrac{4}{x+2}+5$

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3 years ago