I needdd a close up the one person did the same and I need a question
Answer:
10x - 3y = -109 .
Step-by-step explanation:
x^2 + y^2 = 109
Implicit Differentiation:
2x + 2y.y' = 0
y' = -2x/2y = -x/y
So at the point (-10,3) the gradient of the tangent is -(-10)/3 = 10/3.
Equation of the tangent:
y - y1 = m(x - x1)
y - 3 = 10/3(x + 10)
y - 3 = 10/3 x + 100/3
3y - 9 = 10x + 100
-109 + 3y = 10x
10x - 3y = -109
Those are vertical angles meaning that they are of equal measure. set the 2 measures equal and solve for x
3x - 25 = 6x - 80
55 = 3x
x = 18 1/3 - use this number to plug back in to calculate the actual angle measures
Answer:
3.6 cm or 36mm
Step-by-step explanation:
So we know that there are 10 millimetres in a centimetre. So we can convert the 18cm into millimetres to make it easy to subtract
18cm*10=180mm
now take the pencil length subtracted by the length of the pen.
180mm-144mm=36mm
now if you want the answer in cm, convert it by dividing the answer by 10
36/10=3.6cm
<em>Hope This Helps :)</em>
Answer: 12
Step by step explanation:
First simplify both sides of the equation
( 4 )( b ) + ( 4 ) ( - 2 ) + -10 = 2b + 6 (distribute)
4b + -8 + -10 = 2b + 6
(4b) + (-8 + -10 ) = 2b + 6 (combine like terms)
4b + -18 = 2b + 6
4b - 18 = 2b + 6
Then subtract 2b from both sides
4b - 18 - 2b = 2b + 6 - 2b
2b - 18 = 6
After that you add 18 to both sides
2b - 18 + 18 = 6 + 18
2b = 24
2b/2 = 24/2
b = 12