D
An easier way of doing it mentally is 3 x 25 which is 75 and then 1 x 25 which is 25
-4 = 3x + 6y
6y = -3x - 4
y = -1/2x - 2/3.....slope here is -1/2. A parallel line will have the same slope
ax - 8y = 12
-8y = -ax + 12
y = (-a/-8)x + 12......so a would have to be -4 because -(-4) / -8 = -4/8 = -1/2
ur answer is : a = -4
Simplify:
A(n) = -6 + (n - 1)(6) = -6 + (n)(6) + (-1)(6) = -6 + 6n - 6 = 6n - 12
Put n = 1, n = 4 and n = 10 to the expression:
A(1) = 6(1) - 12 = 6 - 12 = -6
A(4) = 6(4) - 12 = 24 - 12 = 12
A(10) = 6(10) - 12 = 60 - 12 = 48
<h3>Answer:</h3><h3>first term = -6, fourth term = 12 and tenth term = 48.</h3><h3>-6, 12, 48</h3>
Answer:
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Step-by-step explanation:
For x.
All the right triangles are similar, so
.. hypotenuse/(short side) = x/6 = 6/(x -9)
Multiplying by the product of denominators gives
.. x(x -9) = 36
Two factors of 36 that differ by 9 are 12 and 3, so we have
.. x = 12
For y, we can use the Pythagorean theorem.
y^2 +6^2 = 12^2
y^2 = 144 -36 = 108
y = √108 = √(36*3)
y = 6√3