Which accurately describes a tangent

Answers

Answer 1
Answer: a line which meets a curve at a single point and will never meet that curve again
Answer 2
Answer: When a line touch the tangent is always 90 degree


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I dont get this.. Can anyone help on this... I appreciate it.

Answers

7.(f(4 + h) - f(4))/(h) = 8
   h((f(4 + h) - f(4))/(h)) = h(8) \nf(4 + h) - f(4) = 8h
   (h + 4)^(2) + (4)^(2) = 8h \n(h + 4)(h + 4) + 16 = 8h \nh(h + 4) + 4(h + 4) + 16 = 8h
   h(h) + h(4) + 4(h) + 4(4) + 16 = 8h \nh^(2) + 4h + 4h + 16 + 16 = 8h
   h^(2) + 8h + 32 = 8h \nh^(2) + 32 = 0
   h = \frac{-(0) \± \sqrt{(0)^(2) - 4(1)(32)}}{2(1)}
   h = \frac{0 \± \sqrt{(0)^(2) - 4(1)(32)}}{2}
   h = (0 \± √(-128))/(2)
   h = (0 \± 8i√(2))/(2)
   h =(8i√(2))/(2)
   h = 4i√(2)

8.f(x) = (x^(2) + 4x - 32)/(x - 4) \nf(x) = (x^(2) + 8x - 4x - 32)/(x - 4) \nf(x) = (x(x) + x(8) - 4(x) - 4(8))/(x - 4) \nf(x) = (x(x + 8) - 4(x + 8))/(x - 4) \nf(x) = ((x - 4)(x + 8))/(x - 4) \nf(x) = x + 8

g(x) = x(2x - 5) - 2(x^(2) - 3x - 4) \ng(x) = x(2x) - x(5) - 2(x^(2)) + 2(3x) + 2(4) \ng(x) = 2x^(2) - 5x - 2x^(2) + 6x + 8 \ng(x) = 2x^(2) - 2x^(2) - 5x + 6x + 8 \ng(x) = x + 8

The functions are equivalent.

9.Slope: 3 \nDerivative: -8x + 11 \n3 = -8x = x + 11 \n-9x = 11 \n(-9x)/(-9) = (11)/(-9) \nx = -1(2)/(9) \nf(x) = -4x^(2) + 11x - 2 \n f(x) = -4(-1(2)/(9)) + 11(-1(2)/(9)) - 2 \nf(x) = 4(8)/(9) - 13(4)/(9) - 2 \nf(x) = -8(5)/(9) - 2 \nf(x) = -10(5)/(9) \ny - y_(1) = m(x - x_(1)) \ny - (-11(4)/(9)) = 3(x - (-1(2)/(9)) \ny + 11(4)/(9) = 3(x + 1(2)/(9)) \ny + 10(5)/(9) = 3(x) + 3(1(2)/(9)) \ny + 10(5)/(9) = 3x + 3(2)/(3) \ny = 3x - 6(8)/(9)



Combine like terms: 3t + 5 (3 + t) - 2t - 4

Answers

3t + 15 + 5t - 2t - 4
6t + 15 - 4
6t + 11


first you will distribute the 5 to(3+t)

So it will be     3t+15+5t-2t-4

then you will add 3t and 5t and -2t together

So you get      6t+15-4

Lastly you will do 15-4

 So you get     6t+11

That's the answer     6t+11

What is 5 7/10 times -5/9

Answers

\tt{Hey~there!

\tt{5(7)/(10)*(-5)/(9)

\tt{Multiply:

\tt{5(7)/(10)*(-5)/(9)=(-19)/(6)

\tt{Now~simplify~-19/6:

\tt{(-19)/(6) =-3(1)/(6)

\boxed{\tt{-3(1)/(6)}}

\tt{Hope~this~helps!

\boxed{\tt{-TestedHyperr}}

Answer:

57/18 or 3 1/6

Step-by-step explanation:

Step 1:

5 7/10 × - 5/9       Equation

Step 2:

57/10 × - 5/9    Change to Improper Fraction

Answer:

57/18 or 3 1/6

Hope This Helps :)

Stuart earns $7.50 an hour plus tips. Select the equation that describes m, the amount of money he earns in one day if he works h hours and receives t dollars in tips.

Answers

the equation is
7.50h+t

Round 14.235 to the nearest tenth

Answers

it is 14.100 because you are rounding down so you round 2 down to 1

Select the proper order from least to greatest for 1/2, 5/6, 2/7, 4/2?

Answers

Answer: Proper order form least to greatest is given by

(2)/(7),(1)/(2),(5)/(6),(4)/(2)

Step-by-step explanation:

Since we have given that

(1)/(2),(5)/(6),(2)/(7),(4)/(2)

We need to write it in proper order from least to greatest.

For this we are required to take the L.C.M. of  denominators:

1)  L.C.M. of 2,6,7,2 = 42

2) Make the denominator 42:

(1)/(2)* (21)/(21)=(1* 21)/(2* 21)=(21)/(42)\n\n(5)/(6)* (7)/(7)=(5* 7)/(6* 7)=(35)/(42)\n\n(2)/(7)* (6)/(6)=(2*6)/(7* 6)=(12)/(42)\n\n(4)/(2)* (21)/(21)=(4* 21)/(2* 21)=(48)/(42)

From least to greatest :

(12)/(42),(21)/(42),(35)/(42),(48)/(42)\n\n(2)/(7),(1)/(2),(5)/(6),(4)/(2)

the least is 2/7 then 1/2 then 5/6 and the greatest is 4/2