An equation is formed of two equal expressions. The vertex of the equation y=-2(x-4)²+3 will lie at (4,3).
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
If we plot the graph of y=-2(x-4)²+3, then the vertex of the graph will lie at (4,3).
Hence, the vertex of the equation y=-2(x-4)²+3 will lie at (4,3).
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Answer:a
a=y
Step-by-step explanation:
Horizontal line (Coordinate Geometry) Definition: A straight line on the coordinate plane where all points on the line have the same y-coordinate. ... A horizontal line is one the goes left-to-right, parallel to the x-axis of the coordinate plane. All points on the line will have the same y-coordinate.
We have been given two inequalities 
and 
. We are asked to find the integers that satisfy both inequalities.
Let us solve for our 1st inequality.
Upon combining our both inequalities, we will get:
This means that solution of our inequalities is x values greater than 
and less than 
.
We know that integers between and are: 
.
Therefore, our solution would be 
.
Answer:
( i ) ∠AOB = 72
( ii ) ∠BOC = 67
( iii ) ∠COD = 134
( iv ) ∠AOD = 87
Step-by-step explanation:
Sum of angles in a circle is 360,
a + b + c + x = 360
72 + 67 + 134 + x = 360
273 + x = 360
x = 360 - 273
x = 87
∠AOB = a = 72
∠BOC = b = 67
∠COD = c = 134
∠AOD = x = 87
Answer:x=20
Step-by-step explanation:
x/8=15/6
Cross multiply
6x=120
Divide through by
x=20
