Answer:
m = -3
b = 9
y = -3x + 9
Step-by-step explanation:
Let us solve the question
∵ The line passes through points (4, -3) and (3, 0)
∵ The rule of the slope is m = 
∵ (x1, y1) and (x2, y2) are 2 points on the line
∴ x1 = 4 and y1 = -3
∴ x2 = 3 and y2 = 0
→ Substitute them in the rule of the slope to find it
∵ m = 
= 
= -3
∴ m = -3
∵ The form of the equation of the line is y = m x + b
→ Substitute the value of m in the form of the equation.
∴ y = -3x + b
→ To find b substitute x and y by the coordinates of the point (3, 0) or (4, -3)
∵ x = 3 and y = 0
∴ 0 = -3(3) + b
∴ 0 = -9 + b
→ Add 9 to both sides
∴ 9 = b
∴ b = 9
→ Substitute the value of b in the equation
∵ y = -3x + 9
∴ The equation of the line is y = 3x + 9
Answer:
Pure water =74.1 mL
Step-by-step explanation:
You need 420 mL of a 70% alcohol solution.
420 mL of solution and 70% of it should be alcohol.
So,
420 * 70/100 mL
= 420 * 0.7
= 294 mL of alcohol and the rest should be water.
On hand, you have a 85% alcohol mixture.
The alcohol can only come from the 85% mixture. So, how much of 85% alcohol do we need to get 294 mL of alcohol:
Let
y = alcohol solution needed
85% of y = 294
85/100 * y = 294
y = 294 ÷ 85/100
y = 294 × 100/85
y = 29,400/85
y = 345.88235294117
Approximately, 345.9mL
The rest of 420 mL solution has to be pure water
Pure water = 420 mL - 345.9mL
= 74.1 mL
Pure water =74.1 mL
Square root of 45 is 6.708… then the square root of 18 is 4.242… so 11?
Answer:
it's D: 7087.76
Step-by-step explanation:
since you already write the formulae, all you have to do it's just calculate with that
