A)
x = -y -2
y = -x -2
B)
0.5x + y = 1
0.5x + (-x -2) = 1
-0.5x -2 = 1
-0.5x = 3
x = -6
Option B) 37.12 is the right answer
Step-by-step explanation:
It is given that the qudrilateral is a rectangle which means that opposite sides wil be equal and all interior angles will be 90 degrees
So
PS = 17
PQ = SR = 33
The diagonal PR will form a right-angles triangle with PR being the hypotenuse
So,
Base = SR = 33
Perpendicular = PS = 17
Hypotenuse = PR = ?
The Pythagoras theorem will be used to find the length of PR
So,

Taking square root on both sides

Rounding off to nearest 100th
PR = 37.12
Hence,
Option B) 37.12 is the right answer
Keywords: Triangle, Pythagoras theorem
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Answer:
5.D1.3 select from among a variety of graphs, including stacked-bar graphs, the type of graph best suited to represent various sets of data; display
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
Given the equation as;
log 3 + log x - log(x + 1) = log 2
collect like terms
log x - log(x + 1) = log 2-1og 3
Re-write the equation by applying laws of logarithms in that when you subtract logs you divide the numbers/terms. This will give
log [ x / x+1 ] = log [2/3]
Cancel log on both sides to remain with;
x/ x+1 = 2/3
Apply cross-product
3{x} = 2{x+1}
3x = 2x + 2
3x-2x = 2
x = 2
Answer:
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