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Citrus2011 [14]
2 years ago
13

Can you please help I'm stuck on this problem and I keep on getting it wrong

Mathematics
2 answers:
Lorico [155]2 years ago
7 0

Check the picture below.

lidiya [134]2 years ago
6 0

Answer:

68°

Step-by-step explanation:

Since WX and ZY are parallel, angle W and angle Z should add up to 180°

W + Z = 180°

112° + Z = 180°

Z = 68°

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Which of the following is the correct factorization of the polynomial below? x^3-15
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The polynomial is irreducible.
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A collection of quarters, dimes, and nickels is worth $13.30. If the ratio of quarters to
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105

Step-by-step explanation:

35 quarters ($8.75)

21 dimes ($2.10)

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What is the value of "x" in this image?
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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).

5 0
3 years ago
Which expression is equivalent to 5y+2y+6x+2y-x
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♡Okie Dokie let's simplify Step-By-Step!<span>♡</span>
♡<span>Here is the question you asked us:
</span><span><span><span><span>5y</span>+<span>2y</span></span>+<span>6x</span></span>+<span>2y</span></span>−<span>x
</span><span><span><span><span><span><span>5y</span>+<span>2y</span></span>+<span>6x</span></span>+<span>2y</span></span>+</span>−<span>x

</span></span>♡<span>Combine Like Terms:
</span><span><span><span>5y+2y</span>+6x</span>+2y</span>+<span>−x
</span><span>(<span>6x+−x</span>)</span>+<span>(<span><span>5y+2y</span>+2y</span><span>)
</span></span>
♡Your final answer is:
<span>5x</span>+<span>9y</span>

♡I hope this helps!♡
4 0
3 years ago
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