<h2>
Answer:</h2>
The total number of handshakes that would happen between the three people are:
3
<h2>
Step-by-step explanation:</h2>
There are three people at a party.
Let they be denoted by A,B and C.
Now, the total number of handshakes that would occur will be denoted by:
AB, AC and BC
where AB denotes that A and B shake hands.
AC denote that A and C shake hands.
and BC denote that B and C shake hands.
Hence, total number of handshakes are:
3
Step-by-step explanation:
The equation of line A:
y-1=0, 5x-3
y=0, 5x-2. Hence its gradient is 0,5
For line B, its you intercept is -8, so y=mx-8.
When x = -4, y=-4m -8 =0 as shown in the graph. This means that m = -2.
Since |-2| > |0, 5|, line B is steeper than line A.
Answer:
About 4% was his saving before tax
Step-by-step explanation:
Answer:
y = -x + 2
Step-by-step explanation:
Use the point-slope formula y - k = m(x -h):
y - [-1] = -1(x - 3), or
y + 1 = -x + 3, or
y = -x + 2
Let the side of the garden alone (without walkway) be x.
Then the area of the garden alone is x^2.
The walkway is made up as follows:
1) four rectangles of width 2 feet and length x, and
2) four squares, each of area 2^2 square feet.
The total walkway area is thus x^2 + 4(2^2) + 4(x*2).
We want to find the dimensions of the garden. To do this, we need to find the value of x.
Let's sum up the garden dimensions and the walkway dimensions:
x^2 + 4(2^2) + 4(x*2) = 196 sq ft
x^2 + 16 + 8x = 196 sq ft
x^2 + 8x - 180 = 0
(x-10(x+18) = 0
x=10 or x=-18. We must discard x=-18, since the side length can't be negative. We are left with x = 10 feet.
The garden dimensions are (10 feet)^2, or 100 square feet.
