We are given first equation y=x+11.
Second equation is -3x + 7y = 13.
Part A: We need to convert that second equation in slope-intercept form y=mx+b.
In order to convert it in slope-intercept form, we need to isolate it for y.
-3x + 7y = 13
Adding 3x on both sides, we get
-3x+3x + 7y = 3x+13
7y = 3x +13.
Dividing both sides by 7, we get
7y/7 = 3x/7 +13/7.
<h3>y= 3/7 x + 13/7.</h3>
Slope for first equation y=3/7 x +11 is 3/7 and slope of second equation y= 3/7 x + 13/7 is also 3/7.
Slopes are same for both equations.
<h3>Part B: Therefore, lines are parallel due to equal slopes.</h3>
8x + 6 = 2 (4x + 3)
Since it's divisible by two
the number of moles in a liter is 0. 045 moles
<h3>What is mole?</h3>
Mole, in chemistry, is known as a standard scientific unit used for measuring large quantities or amounts of very small entities such as atoms, molecules, or other specified particles.
It is important to note that the number of units in a mole is also called its Avogadro’s number
The basis for the conversion of moles to liters is
1mol = 22.4Liter
Hence,
If 1 mol = 22. 4Liter
Then x mol = 1Liter
Cross multiply
x × 22. 4 = 1 × 1
22. 4x = 1
Divide through by 22.4
x = 1/ 22. 4
x = 0. 045 moles
Thus, the number of moles in a liter is 0. 045 moles
Learn more about moles here:
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Reflect the intermediate image.
Multiply the vertices of polygon ABCD by One-half.
Answer:
The square root of a negative number is undefined, because anything times itself will give a positive (or zero) result. Note: Zero has only one square root (itself). Zero is considered neither positive nor negative