Answer:
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Answer:
y = 2x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (- 4, 2 ) into the partial equation
2 = - 8 + c ⇒ c = 2 + 8 = 10
y = 2x + 10 ← equation of line
Answer:
x=-11\5+13\5i-iy
y=ix+(13\5+11\5i)
Step-by-step explanation:
x+yi=-7+3i\2+i
x+yi=\frac{\left(-7+3i\right)\left(2-i\right)}{\left(2+i\right)\left(2-i\right)}
x+yi=-11\5+13\5i
x=-11\5+13\5i-yi
x=-11\5+13\5i-iy
x+yi=\frac{-7+3i}{2+i}
x+yi=\frac{\left(-7+3i\right)\left(2-i\right)}{\left(2+i\right)\left(2-i\right)}
x+yi=\frac{-11+13i}{5}
x+yi=-\frac{11}{5}+\frac{13}{5}i
yi=-\frac{11}{5}+\frac{13}{5}i-x
\frac{iy}{i}=\frac{-\frac{11}{5}+\frac{13}{5}i-x}{i}
y=\frac{-\frac{11}{5}+\frac{13}{5}i-x}{i}
Answer:
The chemist will mix 3 liters of the 5% acid solution and 2 liters of the 10% acid solution to get 5 liters of 7% acid solution
Step-by-step explanation:
Here, we are interested in finding the number of liters of each solution the chemist have to make use;
Let the number of liters of the 5% acid solution be x while the number of liters of the 10% acid solution be y
Mathematically;
x + y = 5 •••••••••(i)
Also, let’s work with the percentages now
( x * 5%) + (y * 10%) = (5 * 7%)
0.05x + 0.1y = 0.35 ••••••••(ii)
From i , x = 5-y
Substitute this into ii
0.05(5 -y) + 0.1y = 0.35
0.25 - 0.05y + 0.1y = 0.35
0.25 + 0.05y = 0.35
0.05y = 0.35 -0.25
0.05y = 0.1
y = 0.1/0.05
y = 2
But x + y = 5
x + 2 = 5
x = 5-2
x = 3
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