Hi There!
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Part A:
Slope Intercept Form: y = mx + b
m = slope (slope = 
)
b = y intercept
b = 3
Answer: y = -1/2x + 3
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Part B:
Just substitue f(x) for y.
Function Notation = f(x) -1/2 + 3
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Part C:
This function given looks almost the same but the slope is different while the one stated in the question has a slope of +2 and the equation given at the start with the slope being -1/2.
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Hope This Helps :)
I believe the answer is (x+3)x(x-1) hope this helps
Answer:
x = 3
Step-by-step explanation:
12 * (3) = 36. 36 / 12 = (3)
Answer:
72* 62* & 60* 30* triangles
Step-by-step explanation:
I just remember rhombuses being made with 60 degree triangles from all the examples I did. This may be wrong though. But 90 percent confident lol.
Answer:
4√2 cm
Step-by-step explanation:
ABCD is a square.
Each side measures 8 cm.
So,
AB = BC = CD = AD = 8 cm
P, Q, R, and S are mid - points of ABCD.
P is the mid - point of AB.
So,
AP = PB
AP + PB = AB
AP + AP = AB
2AP = 8
AP = 8 / 2
AP = 4 cm
S id the mid - point of AD.
So,
DS = SA
DS + SA = AD
SA + SA = AD
2SA = 8
SA = 8 / 2
SA = 4 cm
Property of a square : The angle between two sides is 90°.
So,
The angle between side SA and AP is 90°.
So,
SA, AP and SP forms a right angled triangles.
By Pythagoras theorem,
( SP)² = ( SA )² + ( AP )²
( SP )² = 4² + 4²
= 16 + 16
( SP )² = 32
SP = √32
SP = 4√2 cm
Since PQRS is also a square.
In square, all sides are equal.
So,
PQ = QR = RS = SP
Since SP = 4√2 cm
Hence,
PQ = 4√2 cm
Therefore,
the length of PQ is 4√2 cm.
