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Flauer [41]
3 years ago
8

Using substitutiony=-8y=-2x – 12​

Mathematics
1 answer:
sergey [27]3 years ago
7 0

Answer:

x= -2

y= -4

Step-by-step explanation:

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Limit definition for slope of the graph, equation of tangent line point for<br> f(x)=2x^2 at x=(-1)
Tems11 [23]

The slope of the tangent line to f at x=-1 is given by the derivative of f at that point:

f'(-1)=\displaystyle\lim_{x\to-1}\frac{f(x)-f(-1)}{x-(-1)}=\lim_{x\to-1}\frac{2x^2-2}{x+1}

Factorize the numerator:

2x^2-2=2(x^2-1)=2(x-1)(x+1)

We have x approaching -1; in particular, this means x\neq-1, so that

\dfrac{2x^2-2}{x+1}=\dfrac{2(x-1)(x+1)}{x+1}=2(x-1)

Then

f'(-1)=\displaystyle\lim_{x\to-1}\frac{2x^2-2}{x+1}=\lim_{x\to-1}2(x-1)=2(-1-1)=-4

and the tangent line's equation is

y-f(-1)=f'(-1)(x-(-1))\implies y-4x-2

6 0
3 years ago
A circle has an area of 30 in^2. What is the area of a 60 sector of this circle?
yuradex [85]

We use the ratio x:360 to find portions of the circle (again, through the ratio)

so we use 60/360 = x/30 in^2

1/6 = x/ 30

x = 5.

The answer is 5 in^2

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3 years ago
How many 1 4 cup servings are in 3 8 cups of pudding? (in simplest fraction form) A) 1 6 B) 2 3 C) 3 2 D) 3 8
SVETLANKA909090 [29]

Answer: is c 3/2

Step-by-step explanation:

6 0
3 years ago
in a materity ward of a hospital, weights of newborns are normally distributed with a mean of 120 oz and a standard deviation of
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Answer:

Answer: (0.974, 1.056) liters

Step-by-step explanation:

7 0
3 years ago
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The sum of two numbers is 40. Two times the smaller number is 17 more than the larger. Find the numbers
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X+y=40 
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=(19,21)
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4 years ago
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