The vector AB is found by subtracting the coordinates of point B from the coordinates of point A => (8, 3, 4) - (5, 7, - 2)
(8, 3, 4) - (5, 7, - 2) = (3, - 4, 6)
=>
a) a 3 x 1 column =
| 3 |
| -4 |
| 6 |
b) xi + yj + zk
=> 3i - 4j + 6k
Answer:
2079
Step-by-step explanation:
Homes without children outnumbers homes with children by about 7 to 5 ;
If number of children = 3564
Number of homes without children :
Expressing the relaship interms of ratio :
Without children : with children = 7 :5
Total ratio = 7 + 5 = 12
Number of homes without children:
(7 / 12) * 3564
0.5833333 * 3564
= 2079
Equation of the line is y=mx+b
the line passing through point (1;-2) so x=1 y=-2
m=-0.5 so put all these values in equetion and found value of b
-2=-0.5*1+b
-2=-0.5+b
b=-1.5
so equation of the line is y=-0.5x-1.5
Answer:
equation of the line is y=-0.5x-1.5
Answer:
Step-by-step explanation:
1). 10 = 
10(7 + x) = 1 + 7x
70 + 10x = 7x + 1
10x - 7x = 1 - 70
3x = -69
x = -23
2). 0.2 = 
0.2(12 + x) = 6 + 2x
2.4 + 0.2x = 6 + 2x
2.4 - 6 = 2x - 0.2x
1.8x = -3.6
x = -2
3). 0.8 = 
0.8(x + 0.5) = x
0.8x + 0.4 = x
x - 0.8x = 0.4
0.2x = 0.4
x = 2
4). 3.5 = 
3.5(0.5 - x) = 4 + 2x
1.75 - 3.5x = 4 + 2x
-3.5x - 2x = 4 - 1.75
-5.5x = 2.25
x = -
x = - 
Answer:
6xrx7
2
Regroup terms.
6x{x}^{7}r6xx7r
3
Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}xaxb=xa+b.
6{x}^{1+7}r6x1+7r
4
Simplify 1+71+7 to 88.
6{x}^{8}r6x8r
