The consecutive even integers are 8, 10 and 12.
<h3>How to calculate the value?</h3>
Let the integers be x, x + 2, and x + 4.
Therefore, the equation will be:
6(x) = x + 2 + x + 4 + 26
6x = 2x + 32
Collect like term
6x - 2x = 32
4x = 32
Divide
x = 32/4.
x = 8
The numbers are 8, 10 and 12.
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Answer:
X = 16
Step-by-step explanation:
Notice that we are in the presence of two similar triangles, one larger than the other. The larger triangle is AED, and the smaller one is ACB.
Since there are similar triangles, we can write a proportionality between their known sides:

notice that AD = x + 6
AB = x
ED = 11
CB = 8
So now we can re-write the proportion and solve it for the unknown "x":

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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