Consider the linear function that is represented by the equation y=4x+5 and the linear function that is represented by the table
2 answers:
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Answer:
option A
(1.5,1.2)
Step-by-step explanation:
Given in the question two equations
Equation 1
y = √x
Equation 2
y = x²- 1
Equate both equations
√x = x²- 1
<h3>1 method </h3><h3>by plotting graph</h3>We can see from the graph that both meets when x = 1.5 and y = 1.2
<h3>2 method </h3>we can plug the options given one by one to see which points satisfy
one thing we know is that x ≠ any negative value since
y = √x and square root of negative value is not possible
so option b and c are rejected
option A
√1.5 = y = 1.2
1.5²- 1 = y = 1.2
Answer:
Given:
In Rhombus QRST, diagonals QS and RT intersect at W and U∈QR and point V∈RT such that UV⊥QR. (shown in below diagram)
To prove: QW•UR =WT•UV
Proof:
In a rhombus diagonals bisect perpendicularly,
Thus, in QRST
QW≅WS, WR ≅ WT and m∠QWR=m∠QWT=m∠RWS=m∠TWS=90°.
In triangles QWR and UVR,
(Right angles)
(Common angles)
By AA similarity postulate,
The corresponding sides in similar triangles are in same proportion,
(∵ WR ≅ WT )
Hence, proved.
