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3 years ago

ANSWERRR LIKE ASAPPPPP, i'LL MARK AS BRAINLIST!

Mathematics

2 answers:

Svetlanka [38]3 years ago

6 0

Answer:

Step-by-step explanation:

Umnica [9.8K]3 years ago

5 0

Answer:

Step-by-step explanation:

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Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

$m_ {1} * m_ {2} = - 1$

The given line is:

$5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3$

So we have:

$m_ {1} = \frac {5} {2}$

We find $m_ {2}:$ $m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}$

So, a line perpendicular to the one given is of the form:

$y = - \frac {2} {5} x + b$

We substitute the given point to find "b":

$-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2$

Finally we have:

$y = - \frac {2} {5} x-2$

In point-slope form we have:

$y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)$

ANswer:

$y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)$

3 0

3 years ago

Read 2 more answers

Only the correct answer

storchak [24]

Its A.........................................

6 0

3 years ago

Solve for x.<br><br> (x−2)^2+2=38<br><br> x= ___ or x= ___

Elan Coil [88]

Answer:

$x \: = \: \boxed{ \bold{ - 4 }}\: \: \text{or} \: \: x \: = \: \boxed{ \bold{ 8}}$

Step-by-step explanation:

$(x \: - \: 2 {)}^{2} \: + \: 2 \: = \: 38$

${x}^{2} \: - \: 4x \: + \: 4 \: + \: 2 \: = \: 38$

${x}^{2} \: - \: 4x \: + \: 6 \: = \: 38$

${x}^{2} \: - \: 4x \: + \: 6 \: - \: 38 \: = \: 0$

${x}^{2} \: + \: 4x \: - \: 8x \: - \: 32 \: = \: 0$

$x \: \times \: (x \: + \: 4) \: - \: 8(x \: + \: 4) \: = \: 0$

$(x \: + \: 4) \: \times \: (x \: - \: 8) \: = \: 0$

When it happens that the product of the factors is the same as zero. It is divided into two possible cases.

$x \: + \: 4 \: = \: 0 \\ x \: - \: 8 \: = \: 0$

We solve the two equations:

$x \: = \: - 4 \\ x \: = \: 8$

<h2>Answer: </h2>

$x \: = \: - 4 \\ x \: = \: 8$

<h3><em><u>MissSpanish</u></em></h3>

6 0

2 years ago

Is 4-heap Nim with heaps of sizes 22, 19, 14, and 11 balanced or unbalanced? Player I's first move is to remove 6 coins from the

nadya68 [22]

Answer:

Player II should remove 14 coins from the heap of size 22.

Step-by-step explanation:

To properly answer this this question, we need to understand the principle and what it is exactly is being asked.

This question revolves round a game of Nim

What is a game of Nim: This is a strategic mathematical game whereby, two opposing sides or opponent take turns taking away objects from a load or piles. On each turn, a player remove at least an object and may remove any number of objects provided they all come from the same heap/pile.

Now, referring back to the question, we should first understand that:

22₂ = 1 0 1 1 0

19₂= 1 0 0 1 1

14₂= 0 1 1 1 0

11₂= 0 1 0 1 1

and also that the “bit sums” are all even, so this is a balanced game.

However, after Player I removes 6 coins from the heap of size 19, Player II should remove 14 coins from the heap of size 22.

3 0

3 years ago

I need help on my math

shtirl [24]

Answer:

y = -5/4x - 4

Step-by-step explanation:

The equation they give you is in slope intercept form. y=mx+b. The m is the slope (-5/4). Since they want a parallel line you keep the same slope for point slope form. Point slope formula is y-y1=m(x-x1). the y1 and x1 are where you plug in the coordinates they give you.

y - 1 = -5/4x (x + 4)

y - 1 = -5/4x - 5

y = -5/4x - 4

4 0

3 years ago