Answer:
x=1
Step-by-step explanation:
Since both lines have 1 as it x value, x=1 is the line
When the weight of apples is increased by a factor of 4, total cost increases by 8.
<h3>What is the increase in total cost?</h3>
The first step is to determine the relationship between the weight of apples and their total cost.
Relationship between weight and total cost = $2 / 1 = $2
Increase in total cost = $2 x 4 = $8
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The area of the garden is 74 square feet
<h3>How to determine the area of the garden?</h3>
The complete question is added as an attachment
From the attached figure, we have the following shapes and dimensions:
- Rectangle: 10 by 5 feet
- Trapezoid: Bases = 10 and 6; Height = 3
The rectangular area is
A1 = 10 * 5
Evaluate
A1 = 50
The area of the trapezoid is
A2 = 0.5 * Sum of parallel bases * height
This gives
A2 = 0.5 * (10 + 6) * 3
Evaluate
A2 = 24
The total area is
Total = A1 + A2
This gives
Total = 50 + 24
Evaluate
Total = 74
Hence, the area of the garden is 74 square feet
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Answer:
rate of change=slope= y2-y1/x2-x1
Step-by-step explanation:
x: -2|-1|0|1
y : 5|4|3|2
so choose 2 ordered pairs. in this case, we will choose (-2,5) and (-1,4)
now we plug them in: 
4-5=-1
-1-(-2)=1
so -1/1 is equal to -1, meaning it's answer option b.
9514 1404 393
Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225