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3 years ago

What is the slope of the line that contains the points (–5, 6) and (14, –7)?

1 answer:

8 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ -5 &,& 6~) 
% (c,d)
&&(~ 14 &,& -7~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-7-6}{14-(-5)}\implies \cfrac{-7-6}{14+5}\implies \cfrac{-13}{19}$

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<img src="https://tex.z-dn.net/?f=%5Csf%20%5Csqrt%7B12%7D%20%5Ctimes%20%5Csqrt%7B12%7D" id="TexFormula1" title="\sf \sqrt{12} \t

Darina [25.2K]

Answer:

$12$

Step-by-step explanation:

$\sqrt{12} \times\sqrt{12}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0$

$\sqrt{12}\sqrt{12}=12$

$=12$

7 0

3 years ago

Consider the inverse function. which conclusions can be drawn about f(x) = x2 2? select three options.

Elodia [21]

The function has a y-intercept at (0, 2). Then the correct options are A, B, and E.

The complete question is attached below.

<h3>What is the maximum and minimum value of the function?</h3>

The condition for the maximum will be

f"(x) < 0

The condition for the minimum will be

f"(x) > 0

Consider the inverse function.

f⁻¹(x) = -√(x - 2)

Then the conclusion of the function f(x) = x² + 2 will be

Differentiate the function, then we have

f ' (x) = 2x

Again differentiate, then we have

f" (x) = 2

f" (x) > 0

Then the function has a minimum value at (0, 2)

The function has a y-intercept at (0, 2)

Then the correct options are A, B, and E.

More about the maximum and minimum value of the function link is given below.

brainly.com/question/13581879

#SPJ1

5 0

2 years ago

PQRS is a diameter of a circle of radius 6cm. the lengths PQ , QR , and RS are equal .Semicircles are drawn on PQ and QS as diam

velikii [3]

$r=6
\\d=2r=12
\\PQ=QR=RS= \frac{d}{3} = \frac{12}{3} =4
\\
\\P= \frac{1}{2}\times 2r\pi+\frac{1}{2}\times 2\times QR\times\pi+\frac{1}{2}\times 2 \frac{PQ}{2} \pi
\\
\\P=r\pi+QR\times\pi+\frac{PQ}{2} \pi
\\
\\P=6\pi+4\pi+\frac{4}{2} \pi
\\
\\P=12\pi$

4 0

3 years ago

What is the following qoutient? 3√8/4√6

kogti [31]

Answer:

3 sqrt(3)

----------- or -----------

2 sqrt(3) 2

Step-by-step explanation:

3 sqrt(8)

-----------------

4 sqrt(6)

3 sqrt(4*2)

-----------------

4 sqrt(3*2)

We know that sqrt(ab) = sqrt(a) sqrt(b)

3 sqrt(4) sqrt(2)

------------------------

4 sqrt(3) sqrt(2)

Canceling the sqrt(2) and sqrt(4) is 2

3*2

----------

4 sqrt(3)

-----------

2 sqrt(3)

We can simplify the answer be multiplying by sqrt(3)/sqrt(3)

3 sqrt(3)

----------- * ----------

2 sqrt(3) sqrt(3)

3 sqrt(3)

-----------

2 *3

sqrt(3)

-----------

3 0

3 years ago

The equation P=6s represents the perimeter P of a regular hexagon with side length s. What is the

Margarita [4]

Answer:

The perimeter is 12mm

Step-by-step explanation:

Plug 2 for s in P=6s so 6*2=12

7 0

3 years ago