Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k
parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t
Step-by-step explanation: The vector equation is a line of the form:
r = 
+ t.v
where
is the position vector;
v is the vector;
For point (7,4,5):
= 7i + 4j + 5k
Then, the equation is:
r = 7i + 4j + 5k + t(3i + 2j - k)
<u><em>r = (7 + 3t)</em></u><u><em>i</em></u><u><em> + (4 + 2t)</em></u><u><em>j </em></u><u><em>+ (5 - 5t)</em></u><u><em>k</em></u>
The parametric equations of the line are of the form:
x = 
+ at
y = 
+ bt
z = 
+ ct
So, the parametric equations are:
<em><u>x = 7 + 3t</u></em>
<em><u>y = 4 + 2t</u></em>
<em><u>z = 5 - 5t</u></em>
Answer:
Step-by-step explanation:
x^2 + 2x = 6x+45
x^2 -4x -45 =0
x^2 - 5x +9x -45 =0
x(x-5) +9 (x-5)=0
(x-5)(x+9)=0
x = 5, -9
x = 5; measure of exterior angle = 5^2+2(5) = 35
x=-9; measure of exterior angle = (-9)^2 + 2(-9) = 63
67 ÷ 10 x 4 = 26.8 hours for her to eat 67 cookies
A) If 9 students sharpen 18 pencils in 2 minutes,Then if the time is halved, it will take twice as many men to sharpen 18 pencils.Hence it will take 18 students to sharpen 18 pencils in one minute B) y & 1/x. Then y = K/x where K is our constant of proportionality.Then K = yx. When x = -64 and y = -16 then K = -64 * -16 = 1024. Option DC) When x = 3 y = 8. So for an inverse variation K as calculated from B = 3 * 8 = 24.Then when K = 24 and y = 6; we have 24 = 6x. Hence x = 4. Option A
Answer: 5
Step-by-step explanation:
First we should do the first step: 7+2=9, The they lose 4 which then 9-4
which would equal 5
