A rectangular painting has an area of (2x^2 + 8x + 6) cm^2 . Its length is (2x + 2) cm. Find the width of the painting.
1 answer:
Answer:
Width = x + 3
Step-by-step explanation:
The formula for the area of a rectangle is: A = LW, where A=area, L = length and W = width. In order to get the expression for the value of the width, you first need to factor each equation given for both the area and the length. Starting with the length (2x + 2), you can factor out the 2 to get: 2(x+1). With the area: 2x² + 8x + 6, you can first factor out the 2 to get: 2(x² + 4x + 3). Next, you can factor the polynomial: 2(x + 3)(x + 1). Lastly, in order to find the width, you divide the area by the length:
Crossing out the common terms from the numerator and denominator, '2' and '(x + 1)', we get a final answer of W = x + 3.
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Answer:
The temperature of the part won’t reach or exceed 141℉
Step-by-step explanation:
Substituting the value of T= 141 the given equation becomes
we know that discriminant D =
Three conditions: - D < 0: imaginary roots, D = 0: real and equal roots,
D > 0: two real and unequal roots Substituting a = -0.005, b = 0.045 and c = -16, Therefore, it won't reach the temperature.