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3 years ago

What is the square root of negative 4

2 answers:

6 0

It's 2<em>i</em>, if you've gotten into imaginary numbers. if you haven't gotten there yet, then you aren't supposed to take the square root of negative numbers!!

Alecsey [184]3 years ago

4 0

Sqrt(-4) = 2i

bc. hope you know that sqrt(-1) = i or i^2 = -1

hope helped

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Find the slope of 6x – 3y = 5

sladkih [1.3K]

Answer:

slope is 2

Step-by-step explanation:

simplify this equation so that you can get to "y ="

your equation is: 6x - 3y = 5

start by subtracting 6x from both sides: -3y = -6x - 5

then divide both sides by -3 to isolate y: y = 2x - 5/3

so now we can clearly see that the slope is 2, since that is what is right next to x

3 0

2 years ago

Solve b+12≤26. Graph the solution

Vladimir79 [104]

Answer:

The answer is

b≤14

So you make a filled in circle at 14, make the point for left from there.

6 0

3 years ago

Jailyn has ½ of a pizza left over. She wants to share the pizza with 3 of her friends. What fraction of the original pizza will

N76 [4]

Answer:

Jailyn and her 3 friends will each receive 1/8 of the original pizza.

Step-by-step explanation:

Given that Jailyn has ½ of a pizza left over and she is sharing that with 3 friends, it means that the left over will be divided in 4 pieces and you have to divide 1/2 by 4 to find the fraction of the original pizza that Jailyn and her 3 friends will each receive:

$\frac{1}{2}$ ÷4= $\frac{1}{2}$ ÷ $\frac{4}{1}$ = $\frac{1*1}{2*4}$ = $\frac{1}{8}$

According to this, the answer is that Jailyn and her 3 friends will each receive 1/8 of the original pizza.

8 0

2 years ago

Geometry- Solve the portion. Question#4<br>

kotykmax [81]

Answer:

$d=18$

Step-by-step explanation:

<h3>First let's write our equation</h3><h3 /><h3> $\frac{6}{d-6} =\frac{4}{8}$ </h3><h3 /><h3>Reduce</h3>

<em>Definition - </em><em>reduction refers to the rewriting of an expression into a simpler form</em>

<h3 />

We can reduce $\frac{4}{8}$ to $\frac{1}{2}$

Our equation is now $\frac{6}{d-6} =\frac{1}{2}$

Now we can cross multiply

<em>Definition - </em><em>given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.</em>

$d-6=12$

We are adding because we want our variable to be on one side of the equation

$d=18$

<h3>To check we can show our equation but instead of d we have 18</h3><h3 />

$\frac{6}{18-6} =\frac{1}{2}$

Subtract and we get

$\frac{6}{12} =\frac{1}{2}$

Which makes it true

3 0

3 years ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2

HACTEHA [7]

This question is incomplete, the complete question is;

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2 = 2x, x = 2y; about the y-axis

Answer:

V = π (512/15)

Step-by-step explanation:

Given that;

region of rotation

y² = 2x, x = 2y

Region is rotated about y-axis as shown in the image

for the point of intersection,

y²/2 = 2y

y² - 4y = 0

y(y-4) = 0

∴ y = 0, y = 4

so the region lies in 0 ≤ y ≤ 4

Now cross section area of washer is

A(y) = π(outer radius)² = π(inner radius)²

A(y) = π(2y)² - π(y²/2)²

A(y) = π(4y²) - π(y⁴/4)

A(y) = π(4y² - (y⁴/4))

now volume of the solid of revolution is

V = ⁴∫₀ A(y) dy

V = ⁴∫₀ π(4y² - (y⁴/4))dy

V = π {4⁴∫₀ y² - 1/4⁴∫₀y⁴ dy }

V = π { 4/3 [y³]₀⁴ - 1/20 [y⁵]₀⁴ }

V = π { 4/3 [4]₀⁴ - 1/20 [4]₀⁴ }

V = π { 4/3 [64]₀⁴ - 1/20 [1024]₀⁴ }

V = π { 256/3 - 1024/20 }

V = π { (5120 - 3072) / 60 }

V = π (512/15)

8 0

3 years ago