Distributive property
a(b+c)+ab+ac
a(b-c)=ab-ac
(6z^2-4z+1)(8-3z)
move for nicety
(8-3z)(6z^2-4z+1)
distribute
8(6z^2-4z+1)-3z(6z^2-4z+1)=
48z^2-32z+8-18z^3+12z^2-3z=
-18z^3+48z^2+12z^2-32z-3z+8=
-18z^3+60z-35z+8
The surface area of the cube with a side length of 2 units is 24 units squared
<h3>How to determine the surface area?</h3>
The side length of the cube is given as:
l = 2
The surface area is calculated as:
Surface area = 6l^2
This gives
Surface area = 6 *2^2
Evaluate
Surface area = 24
Hence, the surface area of the cube is 24 unit squared
Read more about surface area at:
brainly.com/question/13175744
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Hi Quanzia25,
Solution:
45mph
45mph x 4hrs. = 180 miles in 4 hours
45 / 3 = 15
180 + 15 = 195
Answer:
The car has traveled 195 miles.
i have no idea about a but
B. LN corresponds to EF
MN corresponds to DF
E corresponds to L
F corresponds to N
<h3>Answer:</h3>
±12 (two answers)
<h3>Explanation:</h3>
Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:
(<em>a</em>)(-3<em>a</em>) = -27/4
<em>a</em>² = -27/(4·(-3)) = 9/4
<em>a</em> = ±√(9/4) = ±3/2
Then the other root is
-3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs
We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...
-(a + (-3a)) = b/4
2a = b/4
b = 8a = 8·(±3/2)
b = ±12
_____
<em>Check</em>
For b = 12, the equation factors as ...
4x² +12x -27 = (2x -3)(2x +9) = 0
It has roots -9/2 and +3/2, the ratio of which is -3.
For b = -12, the equation factors as ...
4x² -12x -27 = (2x +3)(2x -9) = 0
It has roots 9/2 and -3/2, the ratio of which is -3.