The point-slope form of the equation for a line can be written as
... y = m(x -h) +k . . . . . . . for a line with slope m through point (h, k)
Your function gives
... f'(h) = m
... f(h) = k
a) The tangent line is then
... y = 5(x -2) +3
b) The normal line will have a slope that is the negative reciprocal of that of the tangent line.
... y = (-1/5)(x -2) +3
_____
You asked for "an equation." That's what is provided above. Each can be rearranged to whatever form you like.
In standard form, the tangent line's equation is 5x -y = 7. The normal line's equation is x +5y = 17.
Answer:
A. LCM=72 B. GCF=7 C. 7(5+9)
Step-by-step explanation:
A. 8/2=4/2=2 9/3=3 Use the denominators to find the LCM. In this case, the LCM is 72.
B. 35/5=7 63/3=21/3=7 The GCF for these numbers is 7 because it is the only factor that they have in common.
C. 7 x 14=88 Since 5 and 9 don't have common factors, they work perfectly for this problem.
Answer:
Rational numbers are fractional numbers, whose numerator and denominator are integers and the denominator is ever zero.
Step-by-step explanation:
The sum of rational numbers gives a rational number;
+ = 
, because the evaluation of the denominator always results to a non-zero integer.
The product of x = 
, which multiply both numerator and denominator to give integer numbers.
The sum and product of rational and irrational numbers are always irrational numbers, for instance,
x 7 = 2.3 , which is a number which decimal points that can only be represented by the product irrational number and rational number , where 7 is an irrational number.
+ 7 = 7 , which is a whole number and fractional number combined.
Answer:
(x-3) (x+5) => x*x+5x-3x-15
=> x*x+2x-15
Step-by-step explanation:
