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Kobotan [32]
3 years ago
5

Square root of -4 simplified by using the imaginary number i

Mathematics
1 answer:
-BARSIC- [3]3 years ago
6 0

Answer:

2i

Step-by-step explanation:

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UV has the endpoints U(0, 3) and V(–4, –5). Which shows the correct calculation for finding the x-coordinate of the point that p
Pavlova-9 [17]

Solution:

The end points of line segment UV is U(0, 3) and V(–4, –5).

The line segment is Partitioned by a point in the ratio of 4:3.Let that point be (x,y).

Formula for internal division

A line segment having end points (x_{1},y_{1}) and (x_{2},y_{2}) divided by a point (x,y) in the ratio of m:n.  

x=\frac{m x_{2}+nx_{1}}{m+n}, y=\frac{m y_{2}+ny_{1}}{m+n}

x=\frac{3\times 0+4 \times -(4)}{4+3}=\frac{-16}{7}



6 0
3 years ago
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Which type of conic section is described by the equation 4x^2 = 10 +y^2? Due in 2 HOURS, will give BRAINLIEST! A. Ellipse B. Cir
prisoha [69]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
Question #12 Please help
julia-pushkina [17]
\bf \textit{logarithm of factors}\\\\
log_a(xy)\implies log_a(x)+log_a(y)
\\\\\\
\textit{Logarithm of rationals}\\\\
log_a\left(  \frac{x}{y}\right)\implies log_a(x)-log_a(y)
\\\\\\
\textit{Logarithm of exponentials}\\\\
log_a\left( x^  b \right)\implies   b\cdot  log_a(x)\\\\
-------------------------------\\\\


\bf a)\\\\
log_9\left( \sqrt[3]{y^2+y} \right)\implies log_9\left[ (y^2+y)^{\frac{1}{3}} \right]\implies \cfrac{1}{3}log_9(y^2+y)
\\\\\\
\cfrac{1}{3}log_9[y(y+1)]\implies \cfrac{1}{3}\left[~log_9(y)~+~log_9(y+1) ~ \right]
\\\\\\
\cfrac{1}{3}log_9(y)~~+~~\cfrac{1}{3}log_9(y+1)


\bf b)\\\\
log_4\left( \frac{a^2b}{\sqrt{c}} \right)\implies log_4(a^2b)~-~log_4(\sqrt{c})\implies log_4(a^2b)~-~log_4(c^{\frac{1}{2}})
\\\\\\\
[~log_4(a^2)~+log_4(b)~]~~-~~\cfrac{1}{2}log_4(c)\\\\\\ log_4(a^2)+log_4(b)-\cfrac{1}{2}log_4(c)
7 0
4 years ago
Which expression forms an equation with the given expression? 8•7-4=<br>​
Firdavs [7]

Answer:

the answer to this equation is 52

Step-by-step explanation:

3 0
3 years ago
In his​ motorboat, Bill Ruhberg travels upstream at top speed to his favorite fishing​ spot, a distance of 24 ​mi, in 2 hr.​ Ret
crimeas [40]

Answer:

Rate of​ Bill's boat = 14 miles per hour

Speed of the current = 2 miles per hour

Step-by-step explanation:

Let x​ = the rate of the boat in still water and y​ = the rate of the current.

Distance traveled = 24 miles

Time taken for upstream motion = 2 hour

Time taken for downstream motion = 1.5 hour

Velocity of upstream motion = x - y

Velocity of downstream motion = x + y

We have

           Displacement = Time x Velocity

Upstream motion

            24 = 2(x-y)

             x - y = 12 ----------------------------eqn 1

Downstream motion

            24 = 1.5(x+y)

             x + y = 16 ----------------------------eqn 2

eqn 1 + eqn 2

             2 x = 28

                x = 14 miles per hour

Substituting in eqn 2

                 14 + y = 16

                      y = 2 miles per hour

Rate of​ Bill's boat = 14 miles per hour

Speed of the current = 2 miles per hour

4 0
3 years ago
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