Answer:
x = 5
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
72 + 6x + 2 + 17x - 9 = 180
23x + 65 = 180 ( subtract 65 from both sides )
23x = 115 ( divide both sides by 23 )
x = 5
Answer:
Step-by-step explanation:
Diameter = 14 cm
r = 14/2 = 7 cm
Outer surface area of hemisphere =2πr²
= 2π*7*7
= 98π cm²
Answer:
f = -10
( -3, -4) ( - 4 , -10)
Step-by-step explanation:
Formula for slope
m =( y_2 - y_1)/(x _2 - x _1)
m = 6
6 = (y_2 - y_1) / (x _2 - x_1)
Substitute the points
( -3 , -4) ( -4 , f)
x_1 = -3
y_1 = -4
x_2 = -4
y_2 = f
Insert the values into
6 = (y_2 - y_1) / (x_2 - x_1)
6 = (f - (-4))/ ( -4 - (-3)
6 = ( f + 4)/ ( -4 + 3)
Cross multiply
6 ( -4 + 3) = f + 4
6 ( -1) = f + 4
-6 = f + 4
-6 - 4 = f
f = -6 - 4
f = -10
( -3 , -4) ( -3 , f)
The value of f is -10
( -3 , -4) ( -3 , -10)
Answer:
(2, - 9 )
Step-by-step explanation:
Since 2 is the output when - 9 is input to f(x)
Then reversing the procedure, that is the inverse gives an output of - 9 for an input of 2.
(- 9, 2) is a point on the graph of f(x), then
(2, - 9) is a point on the graph o the inverse function
(x)
This should be the correct answer