Answer:
x=10/7
Step-by-step explanation:
simplify both sides of the equation
2 * 2 + 6 = 7x
4 + 6 = 7x
combine like terms
(4 + 6) = 7x
10 = 7x
flip the equation
7x = 10
divide both sides by 7
7x/7 = 10/7
answer is 10/7
This whole problem is only about a circle. Let's not get confused by the rest of the lampshade.
The circumference of any circle is (pi) times (the diameter) .
For this circle, it's (pi) times (13 cm).
They told us what to use for (pi), so it's (3.14) x (13 cm) = <u>40.82 cm</u>
and that's all there is to it.
1. (5x + 2 )
2. ( -2x -10 )
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:
x = 3/2 or x = -4
Step-by-step explanation:
The identifiable error the students have is that before the left hand side of the equation is factorized, the right hand side value of 12 ought to be brought to the left hand side, leaving a net value of zero on the right hand side. Then whatever is factored on the left hand side is then equated to zero and then we can find the two values of x after setting each of the individual factors to zero
We proceed as follows;
