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liberstina [14]

3 years ago

10

A set of four stars form the shape of a rectangle in space. The length of the rectangle is approximately 2,290,000 miles, while

the width of the rectangle is approximately 22,700,000 miles. What is the approximate area of the rectangle?

2 answers:

ANTONII [103]3 years ago

4 0

Answer:

89

Step-by-step explanation:

1800beetlejuice

posledela3 years ago

4 0

Answer:

Fish becaise F to the power of miss

Step-by-step explanation:

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A teacher surveys 30 students on the the number of books they read over the summer.The data are represented in the box plot what

Margaret [11]

Answer:

Wheres the plot?

Step-by-step explanation:

8 0

3 years ago

What's the points distance I need help!

KATRIN_1 [288]

Answer:

Step-by-step explanation:

3.6

6 0

2 years ago

If neither a nor b are equal to zero, which answer most accurately describes the product of (a + bi)(a - bi)?

Scrat [10]

Answer: the correct option is

(D) The imaginary part is zero.

Step-by-step explanation: Given that neither a nor b are equal to zero.

We are to select the correct statement that accurately describes the following product :

$P=(a+bi)(a-bi)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following formula :

$(x+y)(x-y)=x^2-y^2.$

From product (i), we get

$P\\\\=(a+bi)(a-bi)\\\\=a^2-(bi)^2\\\\=a^2-b^2i^2\\\\=a^2-b^2\times (-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }i^2=-1]\\\\=a^2+b^2.$

So, there is no imaginary part in the given product.

Thus, the correct option is

(D) The imaginary part is zero.

3 0

3 years ago

SOLVE FOR X??? <br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%20%2B2%20%3D%5Cfrac%7Bx%7D%7B4%7D%2B3" id="TexFor

natima [27]

Answer:

$\boxed{ \bold{ \boxed{ \sf{1. \: \: \: \: \: x = 12}}}}$

$\boxed{ \bold{ \boxed{ \sf{2. \: \: \: \: \: x = 3}}}}$

Step-by-step explanation:

$\sf{1. \: \: \: \: \frac{x}{3} + 2 = \frac{x}{4} + 3}$

Move x / 4 to left hand side and change its sign

Similarly, move 2 to right hand side and change it's sign

$\longrightarrow{ \sf{ \frac{x}{3} - \frac{x}{4} = 3 - 2}}$

Take the L.C.M of 3 and 4

L.C.M of 3 and 4 = 12

$\longrightarrow{ \sf{ \frac{x \times 4 - x \times 3}{12} = 3 - 2}}$

$\longrightarrow{ \sf{ \frac{4x - 3x}{12} = 3 - 2}}$

$\longrightarrow{ \sf{ \frac{x}{12} = 3 - 2}}$

Subtract 2 from 3

$\longrightarrow{ \sf{ \frac{x}{12} = 1}}$

Do cross multiplication

$\longrightarrow{ \sf{x = 1 \times 12}}$

$\longrightarrow { \sf{x = 12}}$

--------------------------------------------------------------------

$\sf{2. \: \: \: \: 3(4 + 2x) = 33 - x }$

Distribute 3 through the parentheses

$\longrightarrow{ \sf{12 + 6x = 33 - x}}$

Move x to left hand side and change it's sign

Similarly, move 12 to right hand side and change it's sign

$\longrightarrow{ \sf{6x + x = 33 - 12}}$

Collect like terms

$\longrightarrow{ \sf{7x = 33 - 12}}$

Subtract 12 from 33

$\longrightarrow{ \sf{7x = 21}}$

Divide both sides by 7

$\longrightarrow{ \sf{ \frac{7x}{7} = \frac{21}{7} }}$

Calculate

$\longrightarrow{ \sf{x = 3}}$

Hope I helped!

Best regards! :D

4 0

3 years ago

Find the equation of a line that passes through points A and B.

mars1129 [50]

Answer:

y = 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2, 3)

m = = = 2, thus

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using B(2, 3), then

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 2x - 1 ← equation of line

6 0

2 years ago