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Goryan [66]
2 years ago
10

Can you form a right triangle with the three lengths given? Why or why not?

Mathematics
1 answer:
EastWind [94]2 years ago
7 0

Answer:

Yes, 7^2+24^2=25^2

Step-by-step explanation:

If a right triangle then:

is 7^2+24^2=25^2

rewritten: 49+576=625 then yes

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Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (4, −5, 2) and parallel
Nataliya [291]

Answer:

Step-by-step explanation:

From the given information, the symmetric equations for the line pass through(4, -5, 2) i.e (x_o, y_o, z_o) and are parallel to \dfrac{x+5}{1} = \dfrac{y}{2}= \dfrac{z-3}{1}

The parallel vector to the line i + zj+k = ai + bj + ck

Hence, the equation for the line is :

x = x_o + at \\ \\ x = y_o + bt \\ \\ x = z_o + ct

x = 4 + t

y = -5 + 2t

z = 2 + t

Thus, x, y, z = ( 4+t, -5+2t, 2+t )

The symmetric equation can now be as follows:

\begin  {vmatrix} x = 4+ t   \\ \\  \dfrac{x-4}{1} = t  \begin {vmatirx} \end {vmatrix}\begin {vmatrix} y = - 5+2t  \\ \\ \dfrac{y+5}{2}  =t      \end {vmatrix}\begin {vmatrix} z =2+t  \\ \\ \dfrac{z-2}{1}  =t      \end {vmatrix}

∴

\dfrac{x-4}{1}= \dfrac{y+5}{2}=\dfrac{z-2}{1}

8 0
3 years ago
Can someone pleaseee help!!!
krok68 [10]

Answer:

Step-by-step explanation:

use known angles and rules to find unknown values

vertical angles (pairs of angles on opposite sides of an intersection) are equivalent

supplementary angles (angles found next to each other on a line) add up to 180 degrees

opposite interior angles are equivalent

And I don't remember the name of this kind of angle, but angle 1 and 10 are equivalent because they are found on the same "location"

using these rules you can find all missing angles.

1= 75

2=180-75=105

let me know if you need more help than this

3 0
3 years ago
How do you find the average rate of change for f(x)=9-x^2 between two points: x=0 to x=3?
ICE Princess25 [194]

Answer:

The average rate of change is -3.

Step-by-step explanation:

We are given the function:

f(x)=9-x^2

And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.

In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.

For our first endpoint at <em>x</em> = 0, our function evaluates to:

f(0)=9-(0)^2=9

So, our first point is (0, 9).

For our second endpoint at <em>x</em> = 3, our function evaluates to :

f(x)=9-(3)^2=0

So, our second point is (3, 0).

Then by the slope formula, our average rate of change will be:

\displaystyle m=\frac{0-9}{3-0}=\frac{-9}{3}=-3

3 0
2 years ago
For a linear regression, what is the r-value of the following data to three
Nuetrik [128]

Answer:0.816

Step-by-step explanation:

Ape x

3 0
2 years ago
I like you cookie want go out what me :]
Gelneren [198K]

Answer: lol wut

Step-by-step explanation:

6 0
3 years ago
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