Answer:
27 pages.
Step-by-step explanation:
Let l be the number of pages in the long paper and s be the number of pages in the short paper.
We have been given that the total number of pages for both papers is 40. We can represent this information in an equation as:
We are also told that the number of pages in the long paper is one more than two times the number of pages in the short paper. We can represent this information in an equation as:
We will use substitution method to solve system of linear equations.
From equation (1) we will get,
Upon substituting this value in equation (2) we will get,
Upon adding 2l to both sides of our equation we will get,
Let us divide both sides of our equation by 3 we will get,
Therefore, there must be 27 pages in the long paper.
Step-by-step explanation:
When evaluating piecewise function, make sure the x value satisfies the function we use.
since 5>3, we use the second equations
That function is a constant function, this means at any x>3, exclusive, we will have a y value of -1.
So
Answer:
(
0
,
5
)
,
(
1
,
3
)
(
2
,
1
)
Step-by-step explanation:
1. x=0
y=-2(0)+5
y=5
(
0
,
5
)
2. x=1
y=-2(1)+5
y=-2+5
y=3
(
1
,
3
)
3. x=2
y=-2(2)+5
y=-4+5
y=1
(
2
,
1
)
Answer with Step-by-step explanation:
We are given that
ABCE is a rectangle .Rectangle is that quadrilateral in which opposite sides are equal and each is equal to 90 degrees.
D is the midpoint of E.
We have to prove that 
Statement:1 ABCE is a rectangle.D is the mid point of CE
Reason: Given
Statement 2:
Reason:By definition of rectangle
Statement:3 AE=BC
Reason: By definition of rectangle
Statement 4:
Reason: By definition of midpoint because D is the midpoint of side EC
Statement 5:
Reason:SAS postulate
Statement: 6
Reason:CPCT
Hence proved.
this is not factorable so you must apply the quadratic formula and you'll end up with
x=-5-2i
x=-5+2i
