Answer:
LM = 33 units
Explanation:
From the drawing:
LM = NP
41 - 2x = 7x + 5
41 - 5 = 7x + 2x
36 = 9x
x = 9
This means that:
LM = 41 - 2x
LM = 41 - 2(4)
LM = 33 units
Hope this helps :)
Answer:
Step-by-step explanation:
The three in the first number is in the thousands place and in the second number the three is in the hundreds place.
The basic unit of length in the metric system is the meter. Grams are
used to measure weight and liter is used to measure liquid capacity
besides, it is used so that you can express very large and very small numbers in a short
unambiguous manner.
Example Instead of saying "three thousand
million" meters
They classify the decimal place of the basic unit. ie, the meter is
classified with milli (1/1000), centi(1/100), deci (1/10), Deca (10),
Hecto (100), Kilo (1000).
Answer:
The second graph.
Step-by-step explanation:
The first graph has a negative slope, so that can't be the right answer.
The last graph isn't steep enough to show a rate of 2.5.
This leaves us with the middle graph which is correct.
Answer: x = 0
y = 2
z = -1
Step-by-step explanation:
The system of equations are
x+y+z=1 - - - - - - - - - - 1
-2x+4y+6z=2 - - - - - - - - - 2
-x+3y-5z=11 - - - - - - - - - 3
Step 1
We would eliminate x by adding equation 1 to equation 3. It becomes
4y -4z = 12 - - - - - - - - - 4
Step 2
We would multiply equation 1 by 2. It becomes
2x + 2y + 2z = 2 - - - - - - - - - 5
We would add equation 2 and equation 5. It becomes
6y + 8z = 4 - - - - - - - - - 6
Step 3
We would multiply equation 4 by 6 and equation 6 by 4. It becomes
24y - 24z = 72 - - - - - - - - 7
24y + 32z = 16 - - - - - - - - 8
We would subtract equation 8 from equation 7. It becomes
-56z = 56
z = -56/56 = -1
Substituting z = -1 into 7, it becomes
24y - 24×-1 = 72
24y + 24 = 72
24y = 72 - 24 = 48
y = 48/24 = 2
Substituting y = 2 and z = -1 into equation 1, it becomes
x + 2 - 1 = 1
x = 1 - 1 = 0
