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rewona [7]
3 years ago
6

PLEASE HELP ME OUT IM FAILING MATH‍♂️ Thx

Mathematics
1 answer:
VashaNatasha [74]3 years ago
5 0
Ok I gotta I’ll help you right now
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Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)
tigry1 [53]

The vector <em>v</em> (-6, 6, -5) points in the direction of itself, so we start there.

We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling <em>v</em> by an arbitrary real number <em>t</em>.

The line through point <em>P</em> and pointing in the same direction as <em>v</em> is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector <em>p</em> that points to (-4, 5, 2), so the vector equation for this line is

<em>r </em>(<em>t </em>) = <em>p</em> + <em>t v</em>

<em>r </em>(<em>t </em>) = (-4, 5, 2) + <em>t</em> (-6, 6, -5)

<em>r </em>(<em>t </em>) = (-4 - 6<em>t</em>, 5 + 6<em>t</em>, 2 - 5<em>t</em> )

To get the parametric equations, simply take out the components:

<em>x</em> (<em>t</em> ) = -4 - 6<em>t</em>

<em>y </em>(<em>t</em> ) = 5 + 6<em>t</em>

<em>z</em> (<em>t</em> ) = 2 - 5<em>t</em>

4 0
3 years ago
Can someone help me with number 4,5 and 6?
True [87]
4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope! 

(-8,5)  (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]

10 - 5         5
---------   = ----- = 1 
-3-(-8)         5

Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b 

Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]

y=1x+b
10=1(-3)+b  SUBSTITUTE 
10=-3+b     MULTIPLY
10=-3+b
+3   +3    ADD
----------
13=b     SIMPLIFY 

So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13 

y=1x+13 is our final answer.



5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2) 

We have the equation y= 3x-1, so find the reciprocal slope! 
--> y=-1/3x-1 

Good! Now we take our given point, (9, -4) and plug it into the new equation:

y=-1/3x-1
-4=-1/3(9)+b   SUBSTITUTE and revert "-1" to "b", for we are trying to find the y-     -4=-3+b          intercept of our perpendicular equation. 
+3   +3            ADD
--------
-1=b    SIMPLIFY 

So, our final answer is y=-1/3x+(-1)

6) I don't know, sorry! :( 
4 0
3 years ago
Which of the following is in the solution set of the inequality –28 &lt; v – 16
exis [7]
Let's solve your inequality step-by-step.<span><span>−28</span><<span>v−16</span></span>
Step 1: Flip the equation.<span><span>v−16</span>><span>−28</span></span>
Step 2: Add 16 to both sides.<span><span><span>v−16</span>+16</span>><span><span>−28</span>+16</span></span><span>
v><span>−12</span></span>
Answer:<span>v><span>−<span>12</span></span></span>
6 0
2 years ago
Read 2 more answers
The ratio of red cars to blue cars in a parking lot was 5:3 . If there was 40 red cars , how many blue cars were there ?
Bas_tet [7]
The answer is x equals 24
you set up a proportion new over old
so for red cars 40 over 5
since we don’t know the new for blue cars we’ll use x
so x over 3
we then make them equal to each other
40 x
—- = —-
5 3
cross multiply, then we get
120=5x
isolate the x by dividing 5 from both sides to get 24
5 0
3 years ago
I need help it has to be correct
Bess [88]

Answer:

cosine = adjacent / hypotenuse

cosine 62º = JL / 17

JL = cosine 62º * 17

JL = .47 * 17

JL = 7.99

JL = 8.0

Step-by-step explanation:

5 0
3 years ago
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