Width of the rectangle is 13 ft and length of the rectangle is 33 ft
<u>Step-by-step explanation:</u>
Step 1:
Given perimeter of the rectangle = 92 ft. Let the width be x, then the length of the rectangle = 2x + 7. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.
92 = 2(2x + 7 + x) = 2(3x + 7) = 6x + 14
⇒ 92 = 6x + 14
⇒ 78 = 6x
⇒ x = 78/6
∴ x = 13 ft
⇒ Width of the rectangle = 13 ft
∴ Length of the rectangle = 2x + 7 = 26 + 7 = 33 ft
Answer:
C) 30 by 10
Step-by-step explanation:
If the rail is ten meters long, and the rope is 10 meters long, they can travel 10 meters left of the rail, ten meters along the rail, ten meters right of the rail, and ten meters above the rail.
Abcissa is x, and ordinate is y.
In this case the x is positive, and the y is negative.
Therefore, the answer is "positive, negative"
Answer:
y - 1.4x = - 6.8
Step-by-step explanation:
To find the equation: find the slope, use point-slope form to calculate the equation, then convert the equation to standard form.
Slope: 
Use point slope form: y - y₁ = m(x - x₁)
Plug in x = 27, y = 31, and m = 1.4
y - 31 = 1.4(x - 27)
y - 31 = 1.4x - 37.8
y = 1.4x - 6.8
Convert this into standard form: ax + by = c
y - 1.4x = - 6.8
Answer: C
<u>Step-by-step explanation:</u>
Varies inversely means xy = k
A. 1(-3) = -3
2(-9) = -18
-3 ≠ -18
B. 1(-6) = -6
2(-12) = -24
-6 ≠ -24
C. 1(6) = 6
2(3) = 6
3(2) = 6
6 = 6 = 6 This works!
D. 1(-3) = -3
2(2) = 4
-3 ≠ 4
The only table that has the same k-value is option C.
