Answer:
Step-by-step explanation:
Subtract 4x from both sides
4x-4x + 2y = -4x - 12
2y = - 4x - 12
Divide by 2
2y/2 = -4x/2 - 12/2
y = -2x - 6
The y intercept happens when x = 0
y intercept is - 6
or 0,-6
Answer: to find y, simply make the equation y+82=180 since we know a straight line is 180 degrees. Solving gives us Y=98.
To find Z we can use the vertical angles property. Y is equal to 4z+14 in this property. Since we know y=98, we can say that 4z+14=98. Let’s solve again. We get Z=21.
Step-by-step explanation: AGAIN, please ask me if this doesn’t make sense. I’ll try my best to explain further. Merry christmas lkwkn
Answer:
Larger rocket: 36 kiloliters
smaller rocket: 24 kiloliters
Step-by-step explanation:
Lets assign the letters: "L" to the number of kiloliters the "Larger" rocket gets, and "S" to the number of kiloliters that the "Smaller" rocket gets.
We can create two equations from the words given in the problem:
First equation: <em>A total of 60 kiloliters is to be used for "L" plus "S"</em>:
which gives us: 
Next equation comes from the words: "<em>The smaller rocket receives 12 kiloliters less than the larger rocket</em>"
which gives us: 
Now we can use this last equation to replace for the "S" unknown in the first equation (and thus reducing the problem to one equation with one unknown (L), that one can easily solve):

Therefore the amount of fuel that the larger rocket gets is 36 kiloliters.
And using the equation "S = L - 12" we get: 
Which tells us that the smaller rocket gets 24 kiloliters of fuel.
To obtain the graph of the function y = |x+2| we have to make a table of values of x to find the values of y. The absolute value or modulus of a real number is its numerical value without care its sign. For example, the absolute value of |4| and |-4| is 4.
In order to make a graph we are going to use the values (-3, -2, -1, 0, 1, 2, 3) for x.
x = -3
y = |-3 + 2| = |-1| = 1
x = -2
y = |-2 + 2| = |0| = 0
x = -1
y = |-1 + 2| = |1| = 1
x = 0
y = |0 + 2| = |2| = 2
x = 1
y = |1 + 2| = |3| = 3
x = 2
y = |2 + 2| = |4| = 4
x = 3
y = |3 + 2| = |5| = 5
<u> x ║ y</u>
-3 1
-2 0
-1 1
0 2
1 3
2 4
3 5
Obtaining the graph shown in the image attached.
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