Answer:
Step-by-step explanation:
The discriminant is what's under the square root sign in the quadratic equation. The equation for the discriminant is 
, where b is the coefficient of x, a is the coefficient of 
, and c is the number with no variable attatched to it. If we plug in the numbers (
) it gives you 241, which is the discriminant. Since 241 is more than zero, it has 2 zeros. If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.
Answer:
see below
Step-by-step explanation:
x⁵ - 8x⁴ + 22x³ - 26x² + 21x - 18 = 0
x = 2, x = ± i, x=3 with multiplicity 2
-----------------------------------------------------
x⁴ - 5x³ + 7x² - 5x + 6 = 0
x = 2, x=3, x = ± i
--------------------------------------------------------
<u>-1 + 4i</u> = 4 + i
i
--------------------------------------------------------
x³ - 26x² + 21x - 18 = 0
x = ± 2i, x = 3/2
--------------------------------------------------------
(1 + i) (-3 - 4i)
= 1 - 7i
--------------------------------------------------------
6.
(-5 + 2i) + (3 - 6i)
= -2 -4i
--------------------------------------------------------
7.
x⁴ + 5x² + 4 = 0
x = ± i , x = ± 2i
--------------------------------------------------------
8.
(7 - i) - (-5 + 6i)
= 12 - 7i
--------------------------------------------------------
9.
(4 - i) (4 + i)
= 17
--------------------------------------------------------
10.
(3 + 8i) (4 - 3i)
= 36 + 23i
Answer:
15 or -23
Step-by-step explanation:
I think you probably already turned this in but in case you haven't:
ST = 19 means that line segment ST is 19 units long. If we know that S is at -4, then T has to be 19 units away from -4, right?
So there's two directions we could go.
Add 19 to -4 to get 15, so T could be at 15. (If there's a line drawn between -4 and 15, it would be 19 units long.)
But the line could go left, towards negative infinity, too. So if we subtract 19 from -4, we'd get -23. T could also be at -23. (If there's a line drawn between -4 and -23, it would also be 19 units long. There's no such thing as a negative length.)
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Answer:
y + 4 = ⅕(x + 7)
Step-by-step explanation:
The "point-slope" form of the equation of a straight line is:
y − y₁ = m(x − x₁)
where m is the slope and (x₁, y₁) is a point on the line.
If m = ⅕ and (x₁, y₁) = (-7, - 4), the point-slope equation is
y + 4 = ⅕(x + 7)
The Figure below shows the graph of your line and a point at (-7, -4).
Answer:
Step-by-step explanation:
we know that
The formula of law of cosines is equal to
where
a, b and c are sides. C is the angle opposite side c
In this problem we have
substitute the given values
