Answer:
1.21 * 10^25.
Step-by-step explanation:
11 *10^11 * 12 * 10^2
= 11*12 * 10^11 * 10^12
= 121 * 10^(11+12)
= 121 * 10^23
= 1.21 * 10^25.
Note: True Scientific notation is N * 10^n where 1 ≤ N < 10.
Answer:
we choose (3,4)
Step-by-step explanation:
Given the coordinates:
- A (5, 2)
- B (5, -2)
- C (2,1)
- L (-5, 6)
- M (-5, -6)
To find a distance between two points or the length of the segment, we use the following formula:
- Because A and B are located in the same line x =5
=> the lenght of AB = 
- Because A and B are located in the same line x =-5
=> the lenght LM = 
- Because ABC is similar to LMN
=> the ratio of LM : AB = 12:4 = 3:1
<=> the ratio LN : CA = 3:1
We need to find the lenght of CA
= 
=> the lenght of LN = 3CA = 3
Let (x, y) is the coordinate of N, we have:
The length of LN: 
= 
Let try all the possible answer;
(3,4) => 
True
So we choose (3,4)
Answer:
A. 525 in squared
Step-by-step explanation:
Fundamentally, the area of a parellelogram such as this can be calculated the same way the area of a normal rectangle is calculated: Length x Width.
Thus,
(27 + 8) x 15 = Area
35 x 15 = Area
525 = Area
Don't forget your units! (Inches squared)
Answer: x = 5
y = 2
z = 2
Step-by-step explanation:
-3x+4y+2z=-3 - ,- - - - - - 1
2x-4y-z=0 - - - - - - - - - - 2
y=3x-13 - - - - - - - - - - 3
We will use the method of substitution.
Substituting y = 3x -13 into equation 1 and equation 2, it becomes
-3x+4(3x-13)+2z=-3
-3x + 12x - 52 + 2z=-3+52
9x+2z = 49 - - - - - - -4
2x - 4(3x-13)-z= 0
2x - 12x + 52 - z = 0
-10x- z = -52 - - - - - - --5
Using elimination method to solve equation 4 and equation 5
Multiply equation 5 by 2 and equation 4 by 1
-20x - 2z = -104
9x+2z = 49
Adding both equations,
-11x = -55
x = -55/-11
x = 5
Substituting x = 5 into equation 3
y = 3x - 13
y = 3×5 -13 = 15-13
y = 2
Substituting x = 5 and y = 2 into equation 1,
-3x+4y+2z=-3
-3×5 + 4×2 +2z = -3
-15+8+2z = -3
-7+2z = -3
2z = -3+7
2z = 4
z = 4/2 = 2
Answer:
200020ft
Step-by-step explanation:
