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Greeley [361]
3 years ago
6

How do you do slopes in Math I wanna learn To know The applied Math so I can pass My ged

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0

Answer:

The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.

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Find all unit vectors that are orthogonal to the vector u = 1, 0, −4 .
KIM [24]

Answer:

Step-by-step explanation:

Given:

u = 1, 0, -4

In unit vector notation,

u = i + 0j - 4k

Now, to get all unit vectors that are orthogonal to vector u, remember that two vectors are orthogonal if their dot product is zero.

If v = v₁ i + v₂ j + v₃ k is one of those vectors that are orthogonal to u, then

u. v = 0                    [<em>substitute for the values of u and v</em>]

=> (i + 0j - 4k) . (v₁ i + v₂ j + v₃ k)  = 0               [<em>simplify</em>]

=> v₁ + 0 - 4v₃ = 0

=> v₁ = 4v₃

Plug in the value of v₁ = 4v₃ into vector v as follows

v = 4v₃ i + v₂ j + v₃ k              -------------(i)

Equation (i) is the generalized form of all vectors that will be orthogonal to vector u

Now,

Get the generalized unit vector by dividing the equation (i) by the magnitude of the generalized vector form. i.e

\frac{v}{|v|}

Where;

|v| = \sqrt{(4v_3)^2 + (v_2)^2 + (v_3)^2}

|v| = \sqrt{17(v_3)^2 + (v_2)^2}

\frac{v}{|v|} = \frac{4v_3i + v_2j + v_3k}{\sqrt{17(v_3)^2 + (v_2)^2}}

This is the general form of all unit vectors that are orthogonal to vector u

where v₂ and v₃ are non-zero arbitrary real numbers.

3 0
3 years ago
Jane studies the properties of four ionic compounds: NaCl, KBr, Cas, and Mgo, as shown in the table.
Serhud [2]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Examine the equation.<br><br> –2(–x + 9) = 2(x – 9)<br> 2x – 18 = 2x – 18<br> This equation has
kolezko [41]

Answer:

infinite solutions

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
In △ABC, GE=27 in. What is the length of BE¯¯¯¯¯? Enter your answer in the box. 81 in. An acute triangle A B C is drawn. E is th
mariarad [96]
Recall that the centroid of a triangle (the point where the three medians intersect) divides each median into parts in the ratio 2:1, with the centroid being twice as close to the midpoint of a side as it is to the opposite vertex.

Thus, the ratio of segment EG to segment BG is 1 : 2

Therefore, given that segment EG = 27 in, then segment BG = 2(27) = 54 in. and segment BE = 27 + 54 = 81 in.
5 0
3 years ago
Read 2 more answers
Val walks 2 3/5 miles each day. Bill runs 10 miles once every 4 days. In 4 days, who covers the greater distance?
stepan [7]
Val does because he covers 10.4 miles. Hope that helps.
8 0
3 years ago
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