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Alja [10]
4 years ago
5

What is the answer to 4y-18=20

Mathematics
1 answer:
rosijanka [135]4 years ago
4 0
Y=9.5

Cause 4 times 9.5 is 38 minus 18 is 20
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Ad libitum [116K]

Answer:

m = \frac{1}{12}

Step-by-step explanation:

Given

(x,y) = (36,6)

f(x) = \sqrt x ----- the equation of the curve

Required

The slope of f(x)

The slope (m) is calculated using:

m = \lim_{h \to 0} \frac{f(a + h) - f(a)}{h}

(x,y) = (36,6) implies that:

a = 36; f(a) = 6

So, we have:

m = \lim_{h \to 0} \frac{f(a + h) - f(a)}{h}

m = \lim_{h \to 0} \frac{f(36 + h) - 6}{h}

If f(x) = \sqrt x; then:

f(36 + h) = \sqrt{36 + h}

So, we have:

m = \lim_{h \to 0} \frac{\sqrt{36 + h} - 6}{h}

Multiply by: \sqrt{36 + h} + 6

m = \lim_{h \to 0} \frac{(\sqrt{36 + h} - 6)(\sqrt{36 + h} + 6)}{h(\sqrt{36 + h} + 6)}

Expand the numerator

m = \lim_{h \to 0} \frac{36 + h - 36}{h(\sqrt{36 + h} + 6)}

Collect like terms

m = \lim_{h \to 0} \frac{36 - 36+ h }{h(\sqrt{36 + h} + 6)}

m = \lim_{h \to 0} \frac{h }{h(\sqrt{36 + h} + 6)}

Cancel out h

m = \lim_{h \to 0} \frac{1}{\sqrt{36 + h} + 6}

h \to 0 implies that we substitute 0 for h;

So, we have:

m = \frac{1}{\sqrt{36 + 0} + 6}

m = \frac{1}{\sqrt{36} + 6}

m = \frac{1}{6 + 6}

m = \frac{1}{12}

<em>Hence, the slope is 1/12</em>

7 0
3 years ago
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