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Contact [7]
3 years ago
6

What is an equation of the line that passes through the points (−6,−2) and (−3,−3)?

Mathematics
1 answer:
Stels [109]3 years ago
5 0

Answer:

y = -1/3x - 4  (slope-intercept form)

or

x + 3y = -12 (Standard form).

Step-by-step explanation:

The slope of the line = (-3 - (-2)) / (-3 - (-6))

= -1 / 3.

Using the point-slope form of straight line:

y - y1 = m(x - x1) we have:

y - (-2) = -1/3(x - -6))

y + 2 = -1/3(x + 6

y + 2 = -1/3x - 2

y = -1/3x - 4

In standard form (multiplying thru by 3):

3y = -x - 12

x + 3y = -12.

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If f = 350i - 250j - 450k6 n and cable ab is 9 m long, determine the x, y, z coordinates of point a
ycow [4]
<span> we know the length of the cable is 9m.
That means the magnitude of  </span><span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span><span> divided by the magnitude.

</span>u=<span>(<span>​​<span>​x/9</span><span>​​</span></span>i−<span>​y/9<span>​​</span></span>j−<span>​z/9<span>​​</span></span>k<span>)

</span></span><span>We can also figure out the unit vector of F. 
</span>u=​(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.

Therefore
</span>(​​​x/9​​i−​y/9​​j−​z/9​​k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m

The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
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3 years ago
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sammy [17]

Answer:

x = 13

Step-by-step explanation:

Since the two given angles are vertical angles, we know (5x) = 65.

Divide both sides by 5 : <u>5x = 65</u>    and we get x = 13

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3 years ago
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