Answer:
c=0
Step-by-step explanation:
ATQ a.b=|a||b|sin(45)
1+c=sqrt(1+c^2)*sqrt(2)*1/sqrt(2)
1+c=sqrt(1+c^2)
(1+c)^2=(1+c^2)
2c=0, c=0
Answer is 36.
First use the negative exponent rule. When a number is put to the negative power it becomes a fraction
4/3^2
Now 3 to the second power is 9
4/1/9 (4 over 1/9)
Now multiply 4 x 9 (dividing by 1/9 is the same as multiplying by 9)
4 x 9= 36
Answer:
a) For a constant increment in x-variable, there is a constant increment in y-variable, for example, for x = 0 to x = 0.5 (increment = 0.5) y-variable goes from 60 to 62 (increment = 2); the same is valid for any couple of (x,y) values. This behaviour is characteristic of linear equations.
b) slope:
m = (increment in y-variable)/(increment in x-variable) = 2/0.5 = 4
y-intercept:
y1 = m*x1 + h
60 = 4*0 + h
60 = h
equation: y = 4x + 60
where y represents scores and x represents hours spent studying
c) The slope indicates that you need to study 1 hour to increase your score in 4 points
The y-intercept indicates that you will get at least a score of 60, even though you hadn't studied
Answer and Step-by-step explanation:
Given that if a polygon is a square, then a polygon is a quadrilateral, we find the converse, inverse and contrapositive of this implicational statement. The hypothesis is the causative statement and the conclusion is the resultant effect
The converse of this statement is the reverse of its statements hence:
If a polygon is a quadrilateral then a polygon is a square
The inverse of this statement is the negation of the statements hence :
If a polygon is not a square then a polygon is not a quadrilateral
The contrapositive of the statement is the interchange of the hypothesis and conclusion of the inverse statement hence:
If a polygon is not a quadrilateral then a polygon is not a square
Never
perfect squre trinomial is in form
(a+b)(a+b) or (a-b)(a-b)
that is not equal to (a+b)(a-b)
never