Answer:
s
Step-by-step explanation:
s
The 6 angles with vertex P are:
- Angle APB
- Angle APC
- Angle APD
- Angle BPC
- Angle BPD
- Angle CPD
The letter P must be in the middle since this location is the vertex. Something like angle BPA is the same as angle APB. We can swap the order of the outer letters without any change to the angle itself. Effectively, this means each angle has two possible names.
Answer:
The equation of the line is y =
x + 2
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
- m is the slope of the line whose rule is
- b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)
Let us solve the question:
∵ The line passes through the points (-3, -2) and (3, 6)
∴ x1 = -3 and x2 = 3
∴ y1 = -2 and y2 = 6
→ Use the rule of m to find it
∵ 
→ Simplify it by dividing up and down by 2
∴ m = 
→ Substitute its value in the form of the equation above
∴ y =
x + b
→ To find b substitute x and y by x1 and y1
∴ -2 =
(-3) + b
∴ -2 = -4 + b
→ Add 4 to both sides
∴ -2 + 4 = -4 + 4 + b
∴ 2 = b
→ Substitute it in the form of the equation
∴ y =
x + 2
∴ The equation of the line is y =
x + 2
Answer:
D
Step-by-step explanation:
Integers: a WHOLE number that can be positive, negative or zero
-22 is a negative whole number
Rational number: Any number that can be written as a fraction with integers.
-22/1 can be the fraction
The net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.
<h3>How to compute the net profit?</h3>
Case A:
Based on the information, the price of fertilizer will be:
= 0.25 × 100 × 50
= $1250
Price of wheat = 3.50 × 50 × 50
= $10500
Net profit = $10500 - $1250
= $9250
Case B:
Price of fertilizer will be:
= 0.50 × 70 × 50
= $1750
Price of wheat = 4.50 × 50 × 50
= $11250
Net profit = $11250 - $1750
= $9500
Therefore, the net profit or income for case A and case B based on the information will be $9250 and $9500 respectively.
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