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Tresset [83]
3 years ago
14

How to make a linear equation perpendicular?

Mathematics
1 answer:
algol [13]3 years ago
4 0
The slopes of 2 perpendicular lines with be reciprocals with the opposite sign.
For example if you have the equation y=-5x+2, your slope is -5. In a line perpendicular to y=-5x+2, your slope would be 1/5. As for finding b in y=mx+b for your second equation, I would need more specific information.

Hope it helps!
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Do all number lines show only whole number
Lera25 [3.4K]

Answer:

no

Step-by-step explanation:

no because some numbers could be negative and most number lines also contain 0. whole numbers are positive, non decimal/fractional, real numbers

8 0
3 years ago
Someone help me with problem 7
k0ka [10]
8 ≥ y + 3 is the answer to problem 7. Also, in problem 5, I couldn't help but notice that the sign should face the other way but still include the equal to sign underneath it, because it should be 4 at MOST, meaning that 4 must be greater than or equal to y + 7.
5 0
3 years ago
Ella has a points card for a movie theater.
MAXImum [283]

Answer:

175<=12.5x+40

Step-by-step explanation:

She starts with 40 points already so you add in those 40 then since she gets 12.5 points per visit that is your x, so you set that as greater than or equal to 175

7 0
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).

5 0
3 years ago
If a die is rolled one time, what is the probability of getting a 4​
BaLLatris [955]

Answer:

1/6

Step-by-step explanation:

You have one die, with one 4 and six sides. The probability of getting a 4 with one roll is 1/6.

5 0
3 years ago
Read 2 more answers
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