Answer: The answer is x=6, the final set of (x,y) values are (6,-4)
Step-by-step explanation:
You must move around the equation to get it to y= mx+b to find the (x,y) values
Since you know y=-4 since it is stated above, plug in -4 for all y values and solve.
1. 6x+ 7(-4) =4x +4(-4)
2. 6x -28= 4x -16
3. 2x-28=-16
4. 2x=12
5. x=6
Answer:
(270+150)/(2020-2000)= 21 - average rate of change in the height per year
If you multiply 6 by 8.97, you get 53.82. So you would round up, therefore the answer is 54$.
Answer:
A.
Step-by-step explanation:
Check the attachment below for more detailed explanation
Answer:
x = 28 cm
Step-by-step explanation:
Given:
Area of link shaded regions = 84 cm²
Required:
The value of x (diameter of the semicircle/length of the rectangle)
Solution:
Diameter of the semicircle = 2r = x
Length of rectangle (L) = 2r = x
Radius of semicircle (r) = ½x
Width of rectangle (W) = radius of semicircle = ½x
Use 3.14 as π
Area of the link shaded regions = area of rectangle - area of semicircle
Thus:
Area of the link shaded regions = (L*W) - (½*πr²)
Plug in the values
84 = (x*½x) - (½*3.14*(½x)²)
84 = x²/2 - (1.57*x²/4)
84 = x²(½ - 1.57/4)
84 = x²(0.5 - 0.3925)
84 = x²(0.1075)
Divide both sides by 0.1075
84/0.1075 = x²
781.4 = x²
√781.4 = x
27.9535329 = x
x = 28 cm