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3 years ago

Which of the four triangles below are similar?

Mathematics

1 answer:

KiRa [710]3 years ago

7 0

The answer is B

Cause they all have the same angle points

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Write an expression that is equivalent to (-16)^-2

raketka [301]

Answer:

1/256

Step-by-step explanation:

(-16)^-2

= 1/(-16)^2

= 1/ (-16· -16)

= 1/ 256

8 0

3 years ago

Find the absolute extrema of f(x) = e^{x^2+2x}f ( x ) = e x 2 + 2 x on the interval [-2,2][ − 2 , 2 ] first and then use the com

fredd [130]

$f(x)=e^{x^2+2x}\implies f'(x)=2(x+1)e^{x^2+2x}$

$f$ has critical points where the derivative is 0:

$2(x+1)e^{x^2+2x}=0\implies x+1=0\implies x=-1$

The second derivative is

$f''(x)=2e^{x^2+2x}+4(x+1)^2e^{x^2+2x}=2(2x^2+4x+3)e^{x^2+2x}$

and $f''(-1)=\frac2e>0$ , which indicates a local minimum at $x=-1$ with a value of $f(-1)=\frac1e$ .

At the endpoints of [-2, 2], we have $f(-2)=1$ and $f(2)=e^8$ , so that $f$ has an absolute minimum of $\frac1e$ and an absolute maximum of $e^8$ on [-2, 2].

So we have

$\dfrac1e\le f(x)\le e^8$

$\implies\displaystyle\int_{-2}^2\frac{\mathrm dx}e\le\int_{-2}^2f(x)\,\mathrm dx\le\int_{-2}^2e^8\,\mathrm dx$

$\implies\boxed{\displaystyle\frac4e\le\int_{-2}^2f(x)\,\mathrm dx\le4e^8}$

5 0

3 years ago

What is the equation for a line that passes through the points (-5,-4) and (10,14)?

Vinvika [58]

Answer:

y=6/5x+2

Step-by-step explanation:

1.find the slope(m)

m=y2-y1/x2-x1

m=14-(-4)/10-(-5)

m=14+4/10+5

m=18/15

m=6/5

y-y1=m(x-x1)

y-(-4)=6/5(x-(-5))

y+4=6/5(x+5)

y+4=6/5x+30/5

y=6/5x+30/5-4

y=6/5x+10/5

y=6/5x+2

6 0

3 years ago

The bank has accepted Mrs. Hudson's application for a mortgage to buy property worth $375,575. She has to pay 19 percent of the

Lostsunrise [7]

The loan amount will equal to 304,215.75

3 0

4 years ago

Read 2 more answers

Which expression is equivalent to the given expression?<br> 2x2 – 14x + 24

Finger [1]

Answer:

2 ( x − 4 ) ( x − 3 )

Step-by-step explanation:

7 0

3 years ago