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KonstantinChe [14]
3 years ago
12

Evaluate the expression when x=3 and z=−6. z÷x=

Mathematics
2 answers:
Julli [10]3 years ago
3 0

z÷x

-6÷3

=-2

Answer is -2

Vikki [24]3 years ago
3 0

Answer:

(-6)/3 = -2

Step-by-step explanation:

you have to change the variables with the numbers

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Prove the converse of the Pythagorean theorem using similar triangles. The converse of the Pythagorean theorem states that when
Whitepunk [10]

Answer:

I don't how to exactly put the explanation in words I hope this helps you

Step-by-step explanation:

5 0
3 years ago
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Find two vectors in R2 with Euclidian Norm 1<br> whoseEuclidian inner product with (3,1) is zero.
alina1380 [7]

Answer:

v_1=(\frac{1}{10},-\frac{3}{10})

v_2=(-\frac{1}{10},\frac{3}{10})

Step-by-step explanation:

First we define two generic vectors in our \mathbb{R}^2 space:

  1. v_1 = (x_1,y_1)
  2. v_2 = (x_2,y_2)

By definition we know that Euclidean norm on an 2-dimensional Euclidean space \mathbb{R}^2 is:

\left \| v \right \|= \sqrt{x^2+y^2}

Also we know that the inner product in \mathbb{R}^2 space is defined as:

v_1 \bullet v_2 = (x_1,y_1) \bullet(x_2,y_2)= x_1x_2+y_1y_2

So as first condition we have that both two vectors have Euclidian Norm 1, that is:

\left \| v_1 \right \|= \sqrt{x^2+y^2}=1

and

\left \| v_2 \right \|= \sqrt{x^2+y^2}=1

As second condition we have that:

v_1 \bullet (3,1) = (x_1,y_1) \bullet(3,1)= 3x_1+y_1=0

v_2 \bullet (3,1) = (x_2,y_2) \bullet(3,1)= 3x_2+y_2=0

Which is the same:

y_1=-3x_1\\y_2=-3x_2

Replacing the second condition on the first condition we have:

\sqrt{x_1^2+y_1^2}=1 \\\left | x_1^2+y_1^2 \right |=1 \\\left | x_1^2+(-3x_1)^2 \right |=1 \\\left | x_1^2+9x_1^2 \right |=1 \\\left | 10x_1^2 \right |=1 \\x_1^2= \frac{1}{10}

Since x_1^2= \frac{1}{10} we have two posible solutions, x_1=\frac{1}{10} or x_1=-\frac{1}{10}. If we choose x_1=\frac{1}{10}, we can choose next the other solution for x_2.

Remembering,

y_1=-3x_1\\y_2=-3x_2

The two vectors we are looking for are:

v_1=(\frac{1}{10},-\frac{3}{10})\\v_2=(-\frac{1}{10},\frac{3}{10})

5 0
3 years ago
Fill in the information in the table. The first is done for you
lisov135 [29]

Answer:

≥                                         closed dot

<                                           open dot

≤     less than or equal to   closed dot

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8 0
2 years ago
Sighting the top of a building, a surveyor measured the angle of elevation to be 60 degrees. The measurement is taken 200 feet f
olya-2409 [2.1K]
This is a 30-60-90 triangle
opposite side of rigt angle=2x
opposite side of 60 degrees is x√3
opposite sides of 30 degree is x
the right angle is at the base of the building so therefor
200=x
2x=distance from surveor to top of building and x√3=height of building

x=200
200√3≈346.41

the answer is 346.41 feet

8 0
3 years ago
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Enrollment in mathematics courses
sesenic [268]

Answer:

25%

Step-by-step explanation:

1925 - 1440 = 485

X/100 = 485/1925 (what percent is 485 of 1925) (%/100=is/of)

(485 x 100) / 1925 (cross multiply)

48500/1925 = 25%

3 0
2 years ago
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