The rate of change is the slope of this line
m = (y2 - y1)/(x2 - x1) = (13 - 5)/(4 - 0) = 8/4 = 2
Answer:
1) Numerical expression that represents the area Sabrina painted the first weekend:
2) Area that Sabrina painted the first weekend:
3) How much more of the total area she painted the first weekend than in the subsequent 3 weekends:
Explanation:
<u>1) Data:</u>
- a) Total area that Sabrina has to paint: 1,600 ft².
- b) Every weekend she paints half of the area that remains to be painted
- c) Number of weekends Sabrina paints: x
- c) Every wee
<u>2) Write a numerical expression that represents the area Sabrina painted the first weekend:</u>
- Half of 1,600ft² = (1/2) × 1,600 ft² =
<u>3) Find the area that Sabrina painted the first weekend.</u>
Compute:
- (1/2) × 1,600ft² = 1,600ft² / 2 = 800 ft²
<u>4) Find how much she painted after four weeks. </u>
- Second weekend: (1/2) 800ft² = 400ft²
- Third weekend: (1/2) 400ft² = 200ft²
- Fourth weekend: (1/2) 200ft² = 100ft²
Total area painted during those three weekends:
- 400ft² + 200ft² + 100ft² = 700ft²
<u>5) Find how much more of the total area she painted the first weekend than in the subsequent 3 weekends.</u>
This is the area she painted the first weekend, 800ft², less the area she painted the subsequent 3 weekends, 700ft²:
Pete needs 10.5 ounces of turkey.
Step-by-step explanation:
Given,
Number of friends = 2
One for Pete.
Total sandwiches to be made = 2+1 = 3
Quantity of turkey in one sandwiches = 3.5 ounces
For finding the quantity of turkey for three sandwiches, we will multiply.
Turkey for 3 sandwiches = 3*3.5 = 10.5 ounces
Pete needs 10.5 ounces of turkey.
Keywords: multiplication, addition
Learn more about addition at:
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The length of the line AB as described by points A and B in the task content is; √125.
<h3>What is the length of the line?</h3>
a) The length of AB as described is;
AB = √((7-2)² + (4-(-6))²)
AB = √(25 + 100) = √125.
b) The slope of AB is;
Slope, m = (7-2)/(4-(-6)) = 5/10
Slope = 1/2.
c). The coordinates of the midpoint of AB are;
x = (4+(-6))/2 = -1
y = (7+2)/2 = 4.5
The midpoint is; (-1, 4.5).
2) The radius of the circle as described with centre (0, 0) that passes through the point (5, –3) is;
Radius = √((5-0)² + (-3-0)²)
Radius = √(25+9) = √34 = 5.8
3) Hence, the equation of a circle with centre (0, 0) that passes through the point (5, –3) is;
(x-5)² + (x-3)² = 5.8².
Read more on length of a line;
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