2 years ago

What is the image of the point (-5,-9) after a rotation of 90 degrees counterclockwise about the origin

Mathematics

1 answer:

k0ka [10]2 years ago

7 0

Answer:(9,-5)

Step-by-step explanation: trust me

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Write the ratio as a fraction in simplest form 25 to 45

brilliants [131]

Answer:

5/9

Step-by-step explanation:

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3 years ago

Karen rides her bike 4 mi in 20 min. How many miles will she ride in 1 h and 20 min?

Sever21 [200]

The answer is 84 miles

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3 years ago

Find an equation for the plane that is tangent to the surface z equals ln (x plus y )at the point Upper P (1 comma 0 comma 0 ).

alexira [117]

Let $f(x,y,z)=z-\ln(x+y)$ . The gradient of $f$ at the point (1, 0, 0) is the normal vector to the surface, which is also orthogonal to the tangent plane at this point.

So the tangent plane has equation

$\nabla f(1,0,0)\cdot(x-1,y,z)=0$

Compute the gradient:

$\nabla f(x,y,z)=\left(\dfrac{\partial f}{\partial x},\dfrac{\partial f}{\partial y},\dfrac{\partial f}{\partial z}\right)=\left(-\dfrac1{x+y},-\dfrac1{x+y},1\right)$

Evaluate the gradient at the given point:

$\nabla f(1,0,0)=(-1,-1,1)$

Then the equation of the tangent plane is

$(-1,-1,1)\cdot(x-1,y,z)=0\implies-(x-1)-y+z=0\implies\boxed{z=x+y-1}$

7 0

3 years ago

What is the sum of the first 39 positive odd numbers?

liq [111]

1-39 ODD:
1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39
Now you'd add them all up.
1+3+5+7+9 = 25
11+13+15+17+19 = 75
21+23+25+27+29 = 125
31+33+35+37+39 = 175
Add the totals:
25+75+125+175
The answer would be 400.

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3 years ago

The difference of seven halves and six quarters is multiplied by negative two fifths. Find this rational number.

malfutka [58]

First, the difference is 7/2 - 6/4 = 14/4 - 6/4 = 8/4

Now multiply it: 8/4 x (-2/5) = -16/20 = -4/5

5 0

2 years ago