Answer:
d=0
Step-by-step explanation:
Because multiplication is commutative, we can rearrange the expression however we want. So, let's put the constant expressions together, and the variable expressions together:
(3 x 4) x (d^-4 x d^4)
The first term is easy enough: (3 x 4) = 12
For the second term, when exponent terms have the same "base" (in this case, d), the exponents can be added together. So, the second term yields d^(-4 + 4) = d^0. Any number raised to the zero power equals 1, EXCEPT for the sole number of zero. 0^0 is undefined, but any other number raised to the zero power equals 1.
So, if d equals any number other than zero, the expression becomes
(12) x (1) = 12
The best way to express the answer would be that the expression equals 12 except that it is undefined if d=0
A triangle needs to add up to 180 degrees so 44 plus 37 is 81 so that last angle is 99 degrees then you do 180 minus that angle because those 2 angles need to equal up so not equals 81
7x+8(x+1/4) = 3(6x-9)-8
7x+8x+2 = 18x - 27 -24
15x + 2 = 18x - 51
+51 + 51
15x + 53 = 18x
-15x = -15x
53 = 3x
17.66 = x
Answer:
216°
Step-by-step explanation:
Both chords are the same length, so the left and right arcs are both 72°. The whole circle is 360°, so:
72° + 72° + x = 360°
x = 216°
9514 1404 393
Answer:
2 nickels, 9 dimes
Step-by-step explanation:
When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the <em>unshaded</em> area the solution space. Here, the vertices of the triangular solution space are ...
(2, 9), (2, 13), (6, 9)
Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.
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Three solutions are shown:
(x, y) = (2, 9), (3, 10), (4, 11)
