Answer: i) f(-9)= 66
ii) .
iii)
Step-by-step explanation:
The given function : .
i) For f(-9) , the independent variable is x= -9.
Put x= -9 in given function , we get
Thus , f(-9)= 66
ii) For f(x+1) , the independent variable is x= x+1.
Replace x by x+1 in given function , we get
.
Thus , .
iii)For f(-x) , the independent variable is x=-x.
Replace x by -x in given function , we get
.
[∵ (+)(-)=(-)]
Thus ,
Answer:
Slope = ⅚
Step-by-step explanation:
Using the coordinates of two points in the graph, say (0, 0) and (6, 5).
The slope of the graph is ⅚.
The slope represents the ratio of proportion of yellow paint to blue paint that must be mixed together to produce green paint.
This means, to make green paint, for every 5 parts of yellow paint, 6 parts of blue paint is required to be added as a mixture.
Answer/Step-by-step explanation:
Question 1:
Interior angles of quadrilateral ABCD are given as: m<ABC = 4x, m<BCD = 3x, m<CDA = 2x, m<DAB = 3x.
Since sum of the interior angles = (n - 2)180, therefore:
n = 4, i.e. number of sides/interior angles.
Equation for finding x would be:
(dividing each side by 12)
Find the measures of the 4 interior angles by substituting the value of x = 30:
m<ABC = 4x
m<ABC = 4*30 = 120°
m<BCD = 3x
m<BCD = 3*30 = 90°
m<CDA = 2x
m<CDA = 2*30 = 60°
m<DAB = 3x
m<DAB = 3*30 = 90°
Question 2:
<CDA and <ADE are supplementary (angles on a straight line).
The sum of m<CDA and m<ADE equal 180°. To find m<ADE, subtract m<CDA from 180°.
m<ADE = 180° - m<CDA
m<ADE = 180° - 60° = 120°