2 years ago

(y − 3)^2 = 4(x − 5), (6, 1). Find an equation of the tangent line to the graph at the given point.

1 answer:

4 0

Answer:

y=x−1. Explanation: (y−3)2=4(x −5). Expanding: y2−6y+9=4x−20. y2−6y−4x=− 29. Differentiating implicitly: 2ydydx−6dydx−4=0.

y=x−1 Explanation: (y−3)2=4(x−5) Expanding: y2−6y+9=4x−20 y2−6y−4x=−29 Differentiating implicitly: 2ydydx−6dydx−4=0 Factor: ... More

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Jacob and Mirit decide to race their pet snails. Jacob's snail moves 25 inches per minute, and Mirit's snail travels 28 inches p

sweet-ann [11.9K]

Answer:

180 inches

Step-by-step explanation:

25 inches per minute

in 1 hour (60 minutes) :

25*60 = 1500

28 inches per minute

in 1 hour (60 minutes) :

28 * 60 = 1680

1680-1500 = 180

3 0

2 years ago

Factor completely, the expression: 2x^3-2x^2-12x

muminat

$2x^3-2x^2-12x=2x(x^2-x-6)=(*)\\\\------------------------------\\x^2-x-6\\\\a=1;\ b=-1;\ c=-6\\\\\Delta=(-1)^2-4\cdot1\cdot(-6)=1+24=25\\\\\sqrt\Delta=\sqrt{25}=5\\\\x_1=\frac{1-5}{2\cdot1}=\frac{-4}{2}=-2;\ x_2=\frac{1+5}{2\cdot1}=\frac{6}{2}=3\\\\x^2-x-6=(x+2)(x-3)\\\\------------------------------\\\\(*)=2x(x+2)(x-3)$