Answer:
3x = - 6
Step-by-step explanation:
Three times a number is at most negative six
3 times a number would be 3 times x, is means the equal sign (=)
3x = - 6
Answer:
<h2>x² = -3</h2>
Step-by-step explanation:
In algebra, the goal is always to isolate the variable, so its value can be determined.
<h3>Step 1: Subtract 21</h3>
7x² = -21
<h3>Step 2: Divide by 7</h3>
x² = -3
<h3>Step 3: Check</h3>
7(-3) + 21 = 0
0 = 0 ✔
<h3>Step 4: Answer</h3>
x² = -3
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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
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