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adell [148]
3 years ago
12

Determine the value of X.

Mathematics
1 answer:
lana66690 [7]3 years ago
8 0

Answer:

25

Step-by-step explanation:

8x-20=180

8x=200

x=25

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How do you find a unit vector that is orthogonal to both u = (1, 0, 1) v = (0, 1, 1)?
inna [77]

Answer:

one unit vector is ur=(-1/√3 ,1/√3 ,1/√3 )

Step-by-step explanation:

first we need to find a vector that is ortogonal to u and v . This vector r can be generated through the vectorial product of u and v , u X v :r=u X v =\left[\begin{array}{ccc}i&j&k\\1&0&1\\0&1&1\end{array}\right] = \left[\begin{array}{ccc}0&1\\1&1\end{array}\right]*i +  \left[\begin{array}{ccc}1&0\\1&1\end{array}\right]*j + \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]*k = -1 * i + 1*j + 1*k = (-1,1,1)

then the unit vector ur can be found through r and its modulus |r| :

ur=r/|r| = 1/[√[(-1)²+(1)²+(1)²]] * (-1,1,1)/√3 =(-1/√3 ,1/√3 ,1/√3 )

ur=(-1/√3 ,1/√3 ,1/√3 )

7 0
4 years ago
Complete the equation of the line through (6,-6) and (8,8)
noname [10]

Answer:

y = 7x - 48

Step-by-step explanation:

To find the equation of the line

y = mx + c

Step 1 : find the slope

( 6, -6) ( 8, 8)

x_1 = 6

y_1 = -6

x_2 = 8

y_2 = 8

Insert the values into

m =( y_2 - y_1) /( x_2 - x_1)

m - slope

m = (8 - (-6)) / (8 -6 )

m = 8 +6 / 8 - 6

m = 14 / 2

m = 7

Step 2: substitute slope into intercept form equation

y = mx + c

y = 7x + c

Step 3: substitute either point into the equation in step 2

y = 7x + c

Let's pick point ( 8,8)

y = 8

x = 8

y = 7x + c

8 = 7(8) + c

8 = 56 + c

8 - 56 = c

c = 8 - 56

c = -48

Substitute the value of c back into the equation

y = 7x + c

y = 7x - 48

The equation of the line is

y = 7x - 48

6 0
3 years ago
Please help ASAP don’t understand again
Assoli18 [71]

The bottom one is correct.

3 0
4 years ago
Read 2 more answers
Write down the letter of the shape that is congruent to the shaded shaPe
guapka [62]

Answer:

E looks like it is most congruent

Step-by-step explanation:

7 0
2 years ago
determine whether the system of equations y=3x+2 and 3x+3y=18 are intersecting , perpendicular, or parrel
Stolb23 [73]

After entering in these systems in a graphing calculator under the y equals, you can determine that the lines are intersecting. They cross paths, so they cannot be parallel. The lines do not make a ninety-degree angle, so they are not perpendicular. This would make them intersecting.

8 0
4 years ago
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