4 years ago

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

Mathematics

1 answer:

tamaranim1 [39]4 years ago

7 0

Equilateral triangle

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pantera1 [17]

Step-by-step explanation:

3b=2/3

b=2/3÷3

b=2/3×1/3

b=2/9

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3 years ago

Find the value of k for which the given function is a probability density function. f(x = kekx on [0, 2]

liraira [26]

Reading this as

$f_X(x)=\begin{cases}ke^{kx}&\text{for }x\in[0,2]\\0&\text{otherwise}\end{cases}$

For $f_X(x)$ to be a valid PDF, the integral over its support must equal 1:

$\displaystyle\int_{-\infty}^\infty f_X(x)\,\mathrm dx=\int_{x=0}^{x=2} ke^{kx}\,\mathrm dx=1$

Let $y=kx$ , so that $\dfrac{\mathrm dy}k=\mathrm dx$ and the integral becomes

$\displaystyle\int_{y=0}^{y=2k}ke^y\,\dfrac{\mathrm dy}k=\int_0^{2k}e^y\,\mathrm dy=e^y\bigg|_{y=0}^{y=2k}=1$
$e^{2k}-e^0=1$
$e^{2k}-1=1$
$e^{2k}=2$
$\ln e^{2k}=\ln2$
$2k=\ln 2$
$k=\dfrac{\ln 2}2=\ln\sqrt2$

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4 years ago

Mrs. Canale’s class is selling frozen pizzas to earn money for a field trip. For every pizza sold, the class makes $5.35. They h

dem82 [27]

Answer:

106 more pizzas

Step-by-step explanation:

750-182.90

=567.1

567.1 / 5.35

=106

:) hope that helps

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3 years ago

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How do you write out long division for 2397 divided by 17?

NNADVOKAT [17]

Do you know the format? With the number next to the box, and the division number in the box? Because if you write 17 to the left, and 2397 to the right, that is how you write it. If you don't know how to divide it, I would suggest Khan Academy.

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4 years ago

-7x-3=2-7x-5 please solve

Levart [38]

There isn't an answer

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4 years ago

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