Which point in the coordinate plane represents the number 7+5i in the complex plane?

Evaluate the expression for = −3 and = 5. r^{-4} s^2

Butoxors [25]

If r = -3 and s = 5:
(r^-4)(s^2) = (-3^-4)(5^2) = (1/81)(25) = 25/81

If r = 5 and s = -3:
(r^-4)(s^2) = (5^-4)(3^2) = (1/625)(9) = 9/625

5 0

2 years ago

Read 2 more answers

If a and b are both integers and b does not equal 0, then -(a/b) = (-a)/b = a/(-b) Choose two values for a and b. see if those v

kkurt [141]

a=4 , b=3 These values make the equation true .

Step-by-step explanation:

Here we have , If a and b are both integers and b does not equal 0, then -(a/b) = (-a)/b = a/(-b) Choose two values for a and b. We need to find if those values make the equation true . Let's find out:

We have the following equation:

-(a/b) = (-a)/b = a/(-b) , Let a=4 , b=3 , So

⇒ $-(a/b) = (-a)/b = a/(-b)$

⇒ $-\frac{a}{b} = \frac{-a}{b} = \frac{a}{-b}$

⇒ $-\frac{4}{3} = \frac{-4}{3} = \frac{4}{-3}$

⇒ $-\frac{4(-1)}{3} = \frac{-4(-1)}{3} = \frac{4(-1)}{-3}$ { Multiplying by -1 }

⇒ $\frac{4}{3} = \frac{4}{3} = \frac{4}{3}$

Therefore , These values make the equation true .

7 0

3 years ago

Tyra spends a total of $33 for three T-shirts. Each T-shirt costs the same amount of money.

Roman55 [17]

Answer:

number 4/the last option

Step-by-step explanation:

this is because each individual Tshirt = X. and we already know that we have 33$ to spend

3 0

2 years ago

Two cubes each of volume 27^3cm are joined end to end to form a solid. Find the surface area. of resulting solid.

vichka [17]

Given :-

Two cubes each of volume 27cm³ are joined to make a cuboid .

To Find :-

The surface area of the resulting solid .

Solution :-

Given that the volume of cube is 27cm³ . We know that the volume of cube is given by (side)³ .

So , if we assume each side to be a , then ,

$\longrightarrow$ a³ = 27cm³

$\longrightarrow$ a = ³√{27cm³}

$\longrightarrow$ a = ³√3³cm³

$\longrightarrow$ a = 3 cm .

Hence , if we join two cubes we will get a cuboid of length 3cm + 3cm = 6cm . (l)
The breadth would be 3cm .( b)
The height would be 3cm .(h)

See attachment for figure .

And as we know that TSA of cuboid is ,

$\longrightarrow$ TSA = 2( lb + bh + hl )

$\longrightarrow$ TSA = 2 ( 6*3 + 3*3 + 3*6) cm²

$\longrightarrow$ TSA = 2 ( 18 +9 +18 )cm²

$\longrightarrow$ TSA = 2 * 45cm²

$\longrightarrow$ TSA = 90 cm²

Hence the new surface area of the solid is 90cm² .

I hope this helps.

8 0

2 years ago

0,30,40,80,140 What are the first and third quartiles?

Vitek1552 [10]

10 is the first quartile and the third quartile is 60. Hope this helped ☻

4 0

3 years ago