Whats the slope for (-17,12) (-8,3)
1 answer:
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1.326 grams of NH3 are required to produce 4.65 g of HF.
Step-by-step explanation:
Balanced chemical reaction is written first to know the number of moles taking part in original reaction.
NH3 +3 F2 ⇒3 HF + NF3
Given:
mass of HF = 4.65
First the number of moles of HF in 4.65 grams is calculated by using the formula:
number of moles (n) =
atomic mass of HF = 20 grams/mole
putting the values in the above equation number of moles can be found.
n =
= 0.235 moles of HF are given.
From the equation it can be said that:
1 mole of NH3 reacts to form 3 moles of HF
so, x moles of NH3 would react to form 0.235 moles of HF
=
3x = 0.235
x =
x = 0.078 moles of NH3 is required.
The moles are converted to mass by applying the formula:
mass = atomic mass X number of moles (atomic mass of NH3 = 17 grams/mole)
putting the values in the formula
mass = 17 X 0.078
mass = 1.326 grams
Answer:
y =
Step-by-step explanation:
the graph shows the vertex is (2,0); which means it is
y = which show 2 units to the right on the x-axis and staying at y=0
Answer:
Our two intersection points are:
Step-by-step explanation:
We want to find where the two graphs given by the equations:
Intersect.
When they intersect, their <em>x-</em> and <em>y-</em>values are equivalent. So, we can solve one equation for <em>y</em> and substitute it into the other and solve for <em>x</em>.
Since the linear equation is easier to solve, solve it for <em>y: </em>
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Substitute this into the first equation:
Simplify:
Square. We can use the perfect square trinomial pattern:
Multiply both sides by 16:
Combine like terms:
Isolate the equation:
We can use the quadratic formula:
In this case, <em>a</em> = 25, <em>b</em> = -22, and <em>c</em> = -159. Substitute:
Evaluate:
Hence, our two solutions are:
We have our two <em>x-</em>coordinates.
To find the <em>y-</em>coordinates, we can simply substitute it into the linear equation and evaluate. Thus:
And:
Thus, our two intersection points are: