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Savatey [412]
3 years ago
15

The leg of a right triangle is 3 units and the hypotenuse is 11 units. What is the length, in units, of the other leg of the tri

angle? (4 points)
A) 112 units
B) square root 112 units
C) 130 units
D) square root 130 units
Mathematics
1 answer:
son4ous [18]3 years ago
8 0

Answer:

D

Step-by-step explanation:

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frozen [14]

Answer:

x^{2}+6x-16

Step-by-step explanation:

(x+8)(x+−2)

=(x)(x)+(x)(−2)+(8)(x)+(8)(−2)

=x^2−2x+8x−16

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4 0
2 years ago
Consider the surface f (x comma y comma z )f(x,y,z)equals=negative 2 x squared plus 2 y squared minus 3 z squared plus 3 equals
trapecia [35]

Answer:

a) (8,8,-6)

b) 4x+4y+3z = -3

Step-by-step explanation:

a)

The surface is given by the equation  

f(x,y,z) = 0 where

f(x,y,z)=-2x^2+2y^2-3z^2+3

The gradient of this function is the vector

(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z})=(-4x,4y,-6z)

If we evaluate it in the point P = (-2,2,1) we obtain the point

(8,8,-6)

b)

The vectors with their tails at P are of the form  

(-2,2,1)-(x,y,z) = (-2-x, 2-y, 1-z)

as they must be orthogonal to the gradient, they must be orthogonal to the vector (8,8,6) so their inner product is 0

(-2-x,2-y,1-z)\cdot(8,8,6)=0\Rightarrow -16-8x+16-8y+6-6z=0\Rightarrow 4x+4y+3z=-3

and the equation of the desired plane is

4x+4y+3z = -3

3 0
3 years ago
Which of the following is not a rational number?
Illusion [34]
D because a rational number can be converted into a fraction and the square root of 5 cannot be covert into a fraction because it equals 2.2
4 0
3 years ago
Is it possible for two linear functions whose graphs are parallel lines to have the same y-intercept?explain.
andrew-mc [135]
YES it is possibble because it just can
4 0
3 years ago
Read 2 more answers
Why does the pressure go down when the velocity of a fluid increase?<br> Please help asap!
Hunter-Best [27]

Answer:It is the conversion of one form of energy to another. If a fluid flow is restricted, the velocity of the fluid reduces, thereby the kinetic energy decreases and the equivalent amount of energy is increased as the pressure energy, which therefore increases the point pressure of the fluid.

Step-by-step explanation:

7 0
2 years ago
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