Answer:
Yes lines are intersecting, point of intersection is <4,2,0>.
Step-by-step explanation:
Given parametric equations of line are:
If lines are intersecting then parametric coordinates of (1) are equal to (2)
Considering A and B to find values of t and s
From A
t=4s-3---(D)
Putting in (B)
2(4s-3)=1+s
8s-6=1+s
7s=7
s=1
Then
t=4-3
t=1
If lines are intersecting then these values of s and t must satisfy (C)
2-2(1)=1-1
0=0
This shows lines are intersecting.
At this value of t, (1) becomes
Putting s=1 in (2)
Point of intersection is <4,2,0>.
Answer:
1 for all evaluate questions
Step-by-step explanation:
just remember anything to the zero power is 1
Answer: 60 journeys
Step-by-step explanation:
1 ton = 1000 kgs
1.5 tons = 1500 kgs
1500/25 = 60 journeys
Answer:
x= -3
Step-by-step explanation:
hello :
-2x+7=-6x-5
-2x+7+6x=-6x-5 +6x
4x+7=-5
4x+7-7=-5-7
4x= -12
x= -12/4
x= -3
The perimeter of the first figure is 34 cm and the area is 64 cm².
The perimeter of the second figure is 38 cm and the area is 60 cm².
The perimeter of the third figure is 30 cm and the area is 36 cm².
The perimeter of the fourth figure is 72 cm and the area is 200 cm².
The perimeter of the fifth figure is 30 cm and the area is 36 cm².
To find the perimeter of each, we add the area of all sides. For the first figure, the missing sides are 1 cm and 6 cm. To find the area, we have two rectangles whose dimensions are 6x10 and 1x4.
For the second figure, the missing sides are 4 cm and 3 cm. To find the area, we have two rectangles whose dimensions are 4x12 and 3x4.
For the third figure, the missing sides are 3 cm, 3 cm and 8 cm. To find the area, we have two rectangles whose dimensions are 4x3 and 3x8.
For the fourth figure, the missing sides are 10 cm, 10 cm, 6 cm and 6 cm. To find the area, we have two squares whose dimensions are 10x10.
For the fifth figure, the missing sides are 3 cm and 9 cm. To find the area, we have two rectangles whose dimensions are 3x6 and 6x3.
