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3 years ago

What is the slope of a line that is perpendicular to the line of 2x+4y=12

Mathematics

1 answer:

kipiarov [429]3 years ago

5 0

make the equation slope-intercept form:

subtract 2x from both sides:

4y = -2x + 12

divide by 4 to get y by itself:

y = -1/2x + 3

to make the new line perpendicular to the existing line, completely flip the slope of the line:

y = 2x + 3

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y = 2x + b

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3 years ago

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tekilochka [14]

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3 years ago

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Find the directional derivative of f at the given point in the direction indicated by the angle θ.

anygoal [31]

Answer:

Directional derivative = 1/√2

Step-by-step explanation:

We are given f(x, y) = y cos(xy)

Now, we know that;

∇f(x, y) = ycos xy

Thus, applying that to the question, we have;

∇f(x, y) = [-y² sin xy, cos (xy) - xy sin xy]

At coordinates (0,1),we now have;

∇f(0, 1) = [-1²•sin0, (cos 0) - 0]

∇f(0, 1) = [0, 1]

Now, unit vector indicated by the angle θ is given as; u = [cos θ, sin θ]

From the question, since θ = π/4, thus

u = [cos π/4, sin π/4]

Cos π/4 in surd form is; 1/√2

Also, sin π/4 in surd form is; 1/√2

So, u = [1/√2, 1/√2]

Directional derivative = [∇f(0, 1)] • u

= [0, 1] × [1/√2, 1/√2] = 0 + 1/√2 = 1/√2

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2 years ago

What is the equation?

MArishka [77]

Answer:

9/1 x 3/1

Step-by-step explanation:

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3 years ago

Anser number 6 for me so i kan get a better grade

Arlecino [84]

Answer:

Rita is left with approximately $\$ 4$

Step-by-step explanation:

Given:

Price for trousers= $\$ 19.39$

Price for shirt = $\$ 27.88$

Price for headscarf = $\$ 8.62$

Total Money she Spent = Price for trousers + Price for shirt + Price for headscarf = $\$ 19.39 + \$ 27.88+ \$ 8.62 = \$55.89$

Total Money she had before = $\$60$

∴Total Money left = Total Money she had - Total Money she spent = $\$60 - \$55.89 = \$4.11$

Rounding to nearest whole number ≈ $\$4$

7 0

3 years ago