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barxatty [35]
4 years ago
9

What is the probability of rolling a dice and landing on a 4, and

Mathematics
1 answer:
harina [27]4 years ago
4 0

Answer:

1/6 and 3/6

Step-by-step explanation:

a dice has up to 6 sides making it a 1/6 chance for landing ona four. and then making it a 3/6 chance for landing on a even number

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The roots of an equation are x=-1 plus or minus I the equation is x^2+ ?
Oxana [17]

Answer:

x^2+2x+2

Step-by-step explanation:

If the roots of the equation are -1\pm i, then by the zero product rule:

x=-1\pm i \\\\x+1\pm i=0 \\\\(x+1+i)(x+1-i)=0\\\\x^2+x-ix+x+1-i+ix+i+1=0 \\\\x^2+2x+2=0

You can confirm this with the quadratic equation:

x=\dfrac{-2\pm\sqrt{4-8}}{2}=\dfrac{-2\pm 4i}{2}=-1\pm i

Hope this helps!

8 0
3 years ago
Write the formula for a function d(x) that describes the distance between the point P and a point (x,y) on the line. You final a
vlabodo [156]

Answer:

d(x) = √[(x - 2)² + (3x - 1)²]

Step-by-step explanation:

The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

So, the distance between point (2,0) and a point (x,y)

d = √[(x - 2)² + (y - 0)²]

d = √[(x - 2)² + (y)²]

But the point (x,y) is on the line y = 3x - 1

We can substitute for y in the distance between points equation.

d(x) = √[(x - 2)² + (3x - 1)²]

QED!

6 0
3 years ago
80% of 15 plus fraction
lana [24]

Answer:

Idk what u mean by fraction but 80% of 15 is 12

Step-by-step explanation:

7 0
3 years ago
The equation of the line of best fit of a scatter plot is y = 12x + 7. What is the slope of the equation? −12 −7 12 7
BabaBlast [244]
Well,

Slope-intercept form is given as follows:
y = mx + b

In this equation, "m" is the slope, and "b" is the y-intercept.

y = 12x + 7

We can clearly see that the 12 in the equation is the "m" in the general slope-intercept form.

Therefore, the slope of the equation is 12.
6 0
4 years ago
Read 2 more answers
F m 1=7x and m 4=3x+20 what is the m 2
djyliett [7]
M2=5x+10
.................
4 0
3 years ago
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