Answer:
a) 20 units
b) 2 √10 units
c) 2 √17 units
Step-by-step explanation:
The distance formula is;
D = √(y2-y1)^2 + (x2-x1)^2
a) D = √(-7-9)^2 + (-7-5)^2
D = √256 + 144
D = √400
D = 20
b) D = √(10-8)^2 + (9-2)^2
D = √(2)^2 + 6^2
D = √4 + 36)
D = √40
D = 2 √10 units
c) D = √(1 + 7)^2 + (-8+10)^2
D = √(64 + 4)
D = √68
D = 2 √17 units
<h3>60 liters of 40 % dye solution is mixed with 200 liters of 53 % dye solution to get 260 liters of 50 % dye solution</h3><h3><u>
Solution:</u></h3>
From given,
Final solution is 260 liter
Let x be the liters of 40 % dye solution
Then, (260 - x) is the liters of 53 % dye solution
Therefore, according to question,
x liters of 40 % dye solution is mixed with (260 - x) liters of 53 % dye solution to get 260 liters of 50 % dye solution
<h3><u>Thus we frame a equation as:</u></h3>
40 % of x + 53 % of (260 - x) = 50 % of 260
Solve for "x"

Thus 60 liters of 40 % dye solution is used
Then, (260 - x) = 260 - 60 = 200
Thus 200 liters of 53 % dye solution is used
Step-by-step explanation:
<h2>
<em>If they are different, rewrite one or both fractions with a common denominator. Step 2: Check the numerators. If the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction.</em></h2>
Answer:
17x+4=157 and answer is x=9