Answer:
D.
Step-by-step explanation:
y=(180º-72º)/2
y=108º/2
y=54º
d. 54
The value of x is:
we have to use the quadratic formula to solve for x.
The equation is given as:
which could also be written as:
The quadratic formula for the quadratic equation of the type:
is given as:
Here we have:
a=4, b=-5 and c=8.
Hence, by the quadratic formula we have:
Hence, the value of x is:
Seven candy bars.
Explanation:
Suppose the number of candy bars purchased is x
The questions say he bought A magazine, means one magazine
the equation is:
4x + 5 = 33
4x = 33 – 5
4x = 28
x = 7
Kim bought 7 candy bars.
Hope this helps! :)
see explanation
Expand both factors and collect like term
Using Pascal' triangle with n = 6 to obtain the coefficients
1 6 15 20 15 6 1
Decreasing powers of 1 from to
Increasing powers of 3x from to
= 1. + 6. + 15. + 20. + 15.1² + 6. + 1.
= 1 + 18x + 135x² + 540x³ + 1215 + 1458 + 729
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= 1 - 18x + 135x² - 540x³ + 1215 - 1458 + 729
----------------------------------------------------------------------------------
Collecting like terms from both expressions
+
= 2 + 270x² + 2430 + 1458
----------------------------------------------------
(2)
Using Pascal's triangle with n = 5
1 5 10 10 5 1
Increasing powers of 2x from to
= 1. + 5. + 10. + 10. + 5.+ 1.
= 1 + 10x + 40x² + 80x³ + 80 + 32