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Naddika [18.5K]
3 years ago
12

6. The area of a rectangular sheet of paper is 300 cm squared. The length is 5 cm more than the width

Mathematics
2 answers:
konstantin123 [22]3 years ago
8 0

Answer:

Step-by-step explanation:

width = x

length= x + 5

a)  x + 5

b) x * (x+5) = 300

x^2 + 5x = 300

x^2 + 5x - 300 = 0

Δ = 25 + 1200 = 1225

width = (-5 + 35)/2 = 15 cm

lenght = 15 + 5 = 20 cm

murzikaleks [220]3 years ago
7 0

Answer:

a) length = x + 5  

b) x^{2} + 5x - 300 = 0

Step-by-step explanation:

x = width

x + 5 = length

(x)(x + 5) = 300

x^{2} + 5x = 300

x^{2} + 5x - 300 = 0

(x+20)(x-15)

x = -20 or x = 15  ( disregard the -20. measurements can't be negative)

width = 15

length = x+ 5 =  15+5 = 20

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The y-intercept is the point where the function crosses the y axis at x=0

1. It is an x-intercept, so y = 0. The ordered pair would be (-6, 0)
2. It is a y-intercept, so x = 0. The ordered pair would be (0, -2.3)
3. It is a y-intercept, so x=0. The ordered pair would be (0, 3/4)

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4. y-intercept: y = 3(0) -9. y = -9 The y-intercept is at (0, -9)
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5. x intercept: 0 = 5x +10. -10 = 5x. x = -2. The x-intercept is at (-2, 0)
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If you look at finding the y-intercepts in the two problems above, you may see there is a pattern forming. The y-intercept is the number that your adding or subtracting that is located after the x (ex. y = 4x - 2 - the y-intercept would be -2)

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I think you should try 7, 8 and 10 on your own and let me know if you have any questions on them or if you are stuck on anything.
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