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tigry1 [53]
3 years ago
12

Solve the equation for x. x + 13 = 22​

Mathematics
2 answers:
AveGali [126]3 years ago
6 0
X=22-13
x=9
Ya. . . . .
marysya [2.9K]3 years ago
6 0

x + -13 = 22

Reorder the terms:

-13 + x = 22

Solving

-13 + x = 22

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '13' to each side of the equation.

-13 + 13 + x = 22 + 13

Combine like terms: -13 + 13 = 0

0 + x = 22 + 13

x = 22 + 13

Combine like terms: 22 + 13 = 35

x = 35

Simplifying

x = 35

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Given u = −8i − 3j and v = −12i − 7j, what is projvu?
8090 [49]

Answer:

  (b)  -7.275i -4.244j

Step-by-step explanation:

The projection of vector u onto vector v is the product of the unit vector v, the magnitude of vector u, and the cosine of the angle between them.

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The dot product gives the product of the magnitudes of the two vectors and the cosine of the angle between them. To find the projection, we must divide the dot product by the magnitude of v and multiply by the unit vector in the direction of v.

  proj(u,v)=(\vec{u}\cdot\vec{v})\cdot\dfrac{\vec{v}}{|\vec{v}|^2}=\dfrac{((-8)(-12)+(-3)(-7))(-12\vec{i}-7\vec{j})}{(-12)^2+(-7)^2}\\\\=\dfrac{-(96+21)(12\vec{i}+7\vec{j})}{144+49}=-\dfrac{117}{193}(12\vec{i}+7\vec{j})\approx\boxed{-7.275\vec{i}-4.244\vec{j}}

7 0
2 years ago
Given the following discrete uniform probability distribution, find the expected value and standard deviation of the random vari
katovenus [111]

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The standard deviation is the square root of the variance, which is

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Step-by-step explanation:

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