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3 years ago

Which is the simplest form of this algebraic expression? -(6x + 2y) + 4(2x - y)

Mathematics

2 answers:

harina [27]3 years ago

8 0

Answer:

2x-6

Step-by-step explanation:

The first step is to distribute

The second step is to combine like terms and since its an expression you will not have a solution

Marrrta [24]3 years ago

3 0

The simplest form of -(6x+2y)+4(2x-y) = -2(-x+3y).

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When graphing, one always marks FIRST

Ket [755]

Answer:

The y-intercept on the y-axis

Step-by-step explanation:

The y-intercept is where you start graphing. That's why it's important to find that first.

Hope this helps!!

7 0

2 years ago

Initially a ship and a submarine are stationary at sea level, positioned 1.78km apart. The submarine then manoeuvres to position

poizon [28]

I’m assuming ‘dives further’ means to go directly down

the angle of elevation of the ship from the submarine is equal to the angle of depression of the submarine from the ship, if we assume the sea level is perpendicular to ‘directly down’.

let both of these angles to be = $ when the submarine is at A and ¥ when the submarine is at B (excuse the lack of easily accessible variables as keys)

then this become a simple trig problem:

A)

Let O be the position of of the ship, and C be the original position of the submarine.

therefore, not considering direction

|OC| = 1.78km = 1780m

|CA| = 45m

these are the adjacent and opposite sides of a right angled triangle.

But tan($) = opp/adj = |CA|/|OC| = 45/1780

therefore $ = arctan(45/1780) which is roughly 1.45 degrees,

B)

similarly, noting that |CB| = |CA| + |AB| = 45 + 62 = 107m

tan(¥) = 107/1780

¥ = arctan(107/1780) which is roughly 3.44 degrees

4 0

3 years ago

What is the double of a hundred?

larisa86 [58]

Answer:

200

Step-by-step explanation:

100 * 2 = 200

8 0

3 years ago

Read 2 more answers

The interval for which is non real is

scZoUnD [109]

Answer:

Step-by-step explanation:

it is non real if x²-36<0

x²<36

|x|<6

so -6<x<6

7 0

3 years ago

What set of reflections and rotations would carry rectangle ABCD onto itself? Parallelogram formed by ordered pairs A at negativ

Hoochie [10]

Answer:

Option (4).

Step-by-step explanation:

Let's take the coordinates of point A for the set of reflections and rotations given in the options.

Option (1). Rotate 180° → A(-4, 1) becomes (4, -1)

Reflect over x-axis → (4, -1) becomes (4, 1)

Reflect over the line y = x → (4, 1) becomes A'(1, 4)

Therefore, point A will not overlap itself after the number of transformations given.

Option (2). Reflect across x-axis → A(-4, 1) will become (-4, -1)

Rotate 180° → (-4, -1) becomes (4, 1)

Reflect over the x-axis → (4, 1) becomes A'(4, -1)

Therefore, point A(-4, 1) doesn't overlap A'(4, -1).

Option (3). Rotate 180° → A(4, 1) becomes (-4, -1)

Reflect over the y-axis → (-4, -1) becomes (4, -1)

Reflected over y = x → (4, -1) becomes (-1, 4)

So the point A(4, 1) becomes A'(-1, 4) after the set of reflections,

Option (4). Reflect over the y axis → A(-4, 1) becomes (4, 1)

Reflect over the x-axis → (4, 1) becomes (4, -1)

Rotate 180° → (4, -1) becomes A'(-4, 1)

Therefore, point A will overlap itself following the set of transformations.

6 0

3 years ago