If n=4 the value of the expression 28-12+ square root of n divided by 2 is___

Find the constant of variation k for the direct variation

Alla [95]

Answer:

The constant of variation is k = -2 ⇒ (B)

Step-by-step explanation:

The equation of the direct variation is y = k x, where

k is the constant of variation

The constant of variation k = $\frac{y}{x}$

The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)

We can use one of the points <em>[except point (0, 0)]</em> to find the value of k

∵ (-1, 2) is a given point

∴ x = -1 and y = 2

∵ k = $\frac{y}{x}$

→ Substitute the values of x and y in the relation above

∴ k = $\frac{2}{-1}$

∴ k = -2

The constant of variation is k = -2

7 0

3 years ago

Using the congruency statement, select which statements are true.

Nataly [62]

Answer:

Using the congruency statement, select which statements are true.

Triangle W X Y is congruent to triangle E F G.

Segment W X is congruent to segment F G

Segment W Y is congruent to segment E G

Angle X is congruent to angle F

Angle G is congruent to angle W

Step-by-step explanation:

<h2>Answer is B </h2>

The answer in bold letters. I just tool the test.

4 0

3 years ago

Read 2 more answers

4.2(5.1x+6.8) Simplify the expression

vovikov84 [41]

Answer:

21.42x+28.56

Step-by-step explanation:

Expand: 4.2×5.1×x+4.2×6.8

4.2×5.1×x to (21.42)x

Simplify: 21.42x+4.2×6.8

4.2×6.8 = 28.5628.56

21.42x+28.56

6 0

3 years ago

It would help a lot, and if able, please explain

Ksju [112]

Let one side of the square be x
all sides of the square are equal
A=x•x(area formula of a square)
240.25 = x^2
so then the lengths of the sides of the square is 15.5 in

3 0

3 years ago

Read 2 more answers

Which is the completely factored form of 4x2 28x 49? (x 7)(4x 7) 4(x 7)(x 7) (2x 7)(2x 7) 2(x 7)(x 7)

natima [27]

The completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

<h3>How to find the factors of a quadratic expression?</h3>

If the given quadratic expression is of the form ax^2 + bx + c, then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

$b = \alpha + \beta \\ ac =\alpha \times \beta$

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.

For this case, the given quadratic expression is:

$4x^2 + 28x + 49$

So we've to find two numbers such that:

Their sum = b = 28

Their product = $ac = 4\times 49 = 196$

We can see that 196 is square of 14, and that 14 added twice forms 28, thus:

14 + 14 = 28

14×14 = 196

Writing b = 28 as sum of 14 twice, we get:

$4x^2 + 28x + 49 = 4x^2 + 14x + 14x +49 \\4x^2 + 28x + 49 = 2x(2x+7) + 7(2x + 7)\\4x^2 + 28x + 49 = (2x+7)(2x+7)$

Thus, the completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

Learn more about factorization of quadratic expression here:

brainly.com/question/26675692

8 0

2 years ago

If n=4 the value of the expression 28-12+ square root of n divided by 2 is____.