Answer:
16
Step-by-step explanation:
Perimeter = distance round the shape
2y + 11 + y + 3 +3y - 2 + 10 = 58
Collect like terms
2y + y + 3y = 58 - 11 - 3 + 2 - 10
6y = 36
y = 36/6
y = 6
Length PQ = 3y - 2 = 3(6) -.2 = 18 - 2 = 16
The explicit rule for the geometric sequence is in the form,
an = (a1)^(r -1)
where an is the nth term, a1 is the first term, and r is the common ratio. Substituting the known terms from the given above, we arrive to the explicit form of the sequence which is,
an = 49^(3 - 1)
Translating the triangle using the vector 
means translating 2 units left and 4 units down.
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformations are<em> reflection, translation, rotation and dilation.</em>
Rigid transformation preserves the shape and size of the figure. <em>Reflection, translation, rotation</em> are rigid transformations.
Translating the triangle using the vector means translating 2 units left and 4 units down.
Find out more on transformation at: brainly.com/question/4289712
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The answer to the equation is -1.5754
By using Euler's notation, we will see that:
z^7 = 78,125*e^(-i*4.48)
<h3>
How to get z^7?</h3>
We know that:
z = 4 - 3i
Remember that for a complex number:
w = a + bi
In Euler's notation, we can write this as:
w = √(a^2 + b^2)*e^(i*Atan(b/a))
Then, for z, we will get:
z = √(4^2 + (-3)^2)*e^(i*Atan(-3/4))
z = 5*e^(-i*0.64)
Now, if we apply an exponent of 7 to this number, we will get:
z^7 = ( 5*e^(-i*0.64))^7
z^7 = 5^7*e^(-i*7*0.64) = 78,125*e^(-i*4.48)
If you want to learn more about complex numbers, you can read:
brainly.com/question/10662770
