Answer:
1 in 4 chance
Step-by-step explanation:
because if it is a 50% chance to get heads on one toss, then for two tosses you have to multiply 1/2 * 1/2 and that equals 1/4
Answer:
The number D = b2 – 4ac determined from the coefficients of the equation ax2 + bx + c = 0. The discriminant reveals what type of roots the equation has. Note: b2 – 4ac comes from the quadratic formula.
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Answer:
y = -2x -4
Step-by-step explanation:
The equation of a line is y = mx + b, where m is the slope of the line, and b is the y-intercept. We are told that the slope of the line is -2, so we can start with
y = mx + b
y = -2x + b
We can figure out the value of b by plugging in the coordinates of the point given (-2, 0)
0 = -2(-2) + b
0 = 4 + b
Subtract 4 from both sides of the equation
-4 = b
Then plug that value of b back into the equation above:
y = -2x + (-4) or y = -2x -4
Answer:
Multiply row 1 by
.
Step-by-step explanation:
The augmented matrix of the system of linear equation is described below:
![\left[\begin{array}{cccc}2&1&-1&-8\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D2%261%26-1%26-8%5C%5C0%262%263%26-6%5C%5C-%5Cfrac%7B1%7D%7B2%7D%20%261%261%26-4%5Cend%7Barray%7D%5Cright%5D)
Where
, if we need to create
, we need to multiply row 1 by
, that is to say:
![\left[\begin{array}{cccc}1&\frac{1}{2} &-\frac{1}{2} &-4\\0&2&3&-6\\-\frac{1}{2} &1&1&-4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%26%5Cfrac%7B1%7D%7B2%7D%20%26-%5Cfrac%7B1%7D%7B2%7D%20%26-4%5C%5C0%262%263%26-6%5C%5C-%5Cfrac%7B1%7D%7B2%7D%20%261%261%26-4%5Cend%7Barray%7D%5Cright%5D)
Hence, the correct answer is: Multiply row 1 by
.
Area of a triangle is base × height ÷2
base=8x+4 x=-4/8 x=-1/2
height=3x-4 x=4/3
A=b×h÷2
A=(-1/2×4/3)÷2
A=(-4/6)÷2
A=(-4/6)÷2/1 to divide by fractions flip the second and multiply
A=-4/6×1/2
A=-4/12
A=-1/3