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Define x and y
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Let x be the amount of the cream (which has 2.5% of hydrocortisone)
Let y be the amount of the water-washable base. (which has 0% of hydrocortisone)
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Construct the 2 equations:
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Both x and y must add up to 120g
⇒ x + y = 120
Both x and y must add up to only 1% of hydrocortisone.
⇒0.025x + 0.0y = 0.01 x 120
⇒0.025x = 1.2
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Solve x and y:
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x + y = 120 ----------------- (equation 1)
0.025x = 1.2 ----------------- (equation 2)
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From equation 2:
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0.025x = 1.2
x = 1.2 ÷ 0.025
x = 48
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Substitute x = 48 into equation 1:
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x + y = 120
48 + y = 120
y = 120 - 48
y = 72
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Answer: 48g of 2.5% of the cream and 72g of the water washable base are needed to make 120g of the prescription.
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The easiest way would be to subtract 112 from 158 to get 46 that is the difference. Then divide by 2 to find the speed of wind, in this case that would be 23. So the wind speed was 23 km/h and to get the plane speed add or subtract 23 from the sped of the plane (112+23 or 158-23) to get 135 km/h so the plane moved at 135 km/h while the wind speed was 23 km/h
Given:
Equation of line is
.
A line is perpendicular to the given line and passes through (-3,7).
To find:
The point slope form of the perpendicular line.
Solution:
Point slope form of a line is
...(i)
where,
is the point from which the line is passing through and m is slope.
We have,
...(ii)
From (i) and (ii), we get
![m_1=2](https://tex.z-dn.net/?f=m_1%3D2)
Product of slopes of two perpendicular lines is -1.
![m_1\times m_2=-1](https://tex.z-dn.net/?f=m_1%5Ctimes%20m_2%3D-1)
![2\times m_2=-1](https://tex.z-dn.net/?f=2%5Ctimes%20m_2%3D-1)
![m_2=-\dfrac{1}{2}](https://tex.z-dn.net/?f=m_2%3D-%5Cdfrac%7B1%7D%7B2%7D)
So, slope of perpendicular line is
.
Point slope form of the perpendicular line is
![y-(7)=-\dfrac{1}{2}(x-(-3))](https://tex.z-dn.net/?f=y-%287%29%3D-%5Cdfrac%7B1%7D%7B2%7D%28x-%28-3%29%29)
![y-7=-\dfrac{1}{2}(x+3)](https://tex.z-dn.net/?f=y-7%3D-%5Cdfrac%7B1%7D%7B2%7D%28x%2B3%29)
Therefore, the correct option is C.
Answer:
59°
Step-by-step explanation:
Because that triangle measure 90°
19+12=31
31-90°=59°
sorry if it isn't correct that how I learn it qwq
8 because it’s the average between 4 and 10