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3 years ago

EASY 35 POINTS!

Mathematics

1 answer:

Wewaii [24]3 years ago

3 0

Answer:

The line segments AA' and BB' are parallel and congruent

Step-by-step explanation:

we know that

When the transformation is a translation, the figure does not change its shape or dimensions,

AA'=BB'=CC'

therefore

The line segments AA' and BB' are parallel and congruent

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To get from her home to a friend's house, Georgia must go past a school, then a post office.

Nataliya [291]

The time it takes for a certain object or person, in this case Georgia, to travel from one place to another is the quotient of the distance and speed. Such that the given above can be best represented by the equation below,
42 minutes = (7/8 + 5/6 + x) / 1/18
The value of x from the equation is approximately 0.625 miles.

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3 years ago

Read 2 more answers

I'm having a little bit of trouble figuring out the formula to solve this problem.

goldfiish [28.3K]

Answer:Red price hast he least least cost per gram of apple.

Step-by-step explanation:

1) considering Royal Gala, 75 gram apple cost $0.41

The cost per gram is 0.41/75 = $0.0055

2) considering Honey crisp, 93 gram apple cost $0.82

The cost per gram is 0.82/93 = $0.0088

3) considering Red Prince, 81 gram apple cost $0.36

The cost per gram is 0.36/81 = $0.0044

Since $0.0044 per gram is the lowest of the three, then the type of apple with the least cost per gram is Red prince.

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3 years ago

What is the difference between assignment problems and transportation problems

lawyer [7]

A transportation problem you take with you

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3 years ago

Find the absolute extrema for f(x,y)=4-x^2-y^4+1/2y^2 over the closed disk D:x^2+y^2 is less than or equal to 1

algol [13]

Find the critical points of $f(x,y)$ :

$\dfrac{\partial f}{\partial x}=-2x=0\implies x=0$

$\dfrac{\partial f}{\partial y}=y-4y^3=y(1-4y^2)=0\implies y=0\text{ or }y=\pm\dfrac12$

All three points lie within $D$ , and $f$ takes on values of

$\begin{cases}f(0,0)=4\\f\left(0,-\frac12\right)=\frac{65}{16}\\f\left(0,\frac12\right)=\frac{65}{16}\end{cases}$

Now check for extrema on the boundary of $D$ . Convert to polar coordinates:

$f(x,y)=f(\cos t,\sin t)=g(t)=4-\cos^2-\sin^4t+\dfrac12\sin^2t=3+\dfrac32\sin^2t-\sin^4t$

Find the critical points of $g(t)$ :

$\dfrac{\mathrm dg}{\mathrm dt}=3\sin t\cos t-4\sin^3t\cos t=\sin t\cos t(3-4\sin^2t)=0$

$\implies\sin t=0\text{ or }\cos t=0\text{ or }\sin t=\pm\dfrac{\sqrt3}2$

$\implies t=n\pi\text{ or }t=\dfrac{(2n+1)\pi}2\text{ or }\pm\dfrac\pi3+2n\pi$

where $n$ is any integer. There are some redundant critical points, so we'll just consider $0\le t< 2\pi$ , which gives

$t=0\text{ or }t=\dfrac\pi3\text{ or }t=\dfrac\pi2\text{ or }t=\pi\text{ or }t=\dfrac{3\pi}2\text{ or }t=\dfrac{5\pi}3$

which gives values of

$\begin{cases}g(0)=3\\g\left(\frac\pi3\right)=\frac{57}{16}\\g\left(\frac\pi2\right)=\frac72\\g(\pi)=3\\g\left(\frac{3\pi}2\right)=\frac72\\g\left(\frac{5\pi}3\right)=\frac{57}{16}\end{cases}$

So altogether, $f(x,y)$ has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).

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3 years ago

40,-20,10,-5,__,__,__<br> What are the next three numbers.

valkas [14]

Answer:

2.5, -1.25, 0.625

Step-by-step explanation:

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3 years ago