Can someone help me which expression is equal to 16

Annette [7]

-4 | x + 5 | = -16...divide both sides by -4, eliminating it on the left side
| x + 5 | = -16/-4
| x + 5 | = 4

x + 5 = 4 -(x + 5) = 4
x = 4 - 5 -x - 5 = 4
x = -1 -x = 4 + 5
-x = 9
x = -9

solutions : x = -1 , x = -9

3 0

3 years ago

3. Write the slope-intercept form of the equation of the line described.

Elanso [62]

Answer:

5b. y = −2

5a. y = 3

4b. −6x + y = −4

4a. 7x + 4y = −12

3b. y = ½x + 3

3a. y = −6x + 5

Step-by-step explanation:

5.

b. y = −2

a. y = 3

* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], but in this case, since the slope is undefined [5b], we just take the y-coordinate of the ordered pair.

* Parallel lines have SIMILAR RATE OF CHANGES [SLOPES], but in this case, since the slope is zero [5a], we just take the y-coordinate of the ordered pair.

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4.

Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:

b.

2 = 6[1] + b

6

−4 = b

y = 6x - 4

-6x - 6x

_________

−6x + y = −4 >> Standard Equation

a.

4 = −7⁄4[-4] + b

7

−3 = b

y = −7⁄4x - 3

+7⁄4x +7⁄4x

____________

7⁄4x + y = −3 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

4[7⁄4x + y = −3]

7x + 4y = −12 >> Standard Equation

* 1¾ = 7⁄4

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3.

Plug both coordinates into the Slope-Intercept Formula:

b.

5 = ½[4] + b

2

3 = b

y = ½x + 3 >> EXACT SAME EQUATION

a.

−1 = −6[1] + b

−6

5 = b

y = −6x + 5

* Parallel lines have SIMILAR RATE OF CHANGES [SLOPES].

I am joyous to assist you anytime.

5 0

4 years ago

Some help would be great! Thumbs up!

DIA [1.3K]

The whole picture is not token correctly

7 0

4 years ago

Drawing a red marble from a bag of six red and 4 blue replacing it and then drawing a blue marble

Ksivusya [100]

Answer:

The probability of picking a red marble and a blue marble = 6/25

Step-by-step explanation:

Here, the question is INCOMPLETE.

What is the probability of this independent event. Drawing a red marble from a bag of 6 red and 4 blue marbles, replacing it, and then drawing a blue marble.

Here, total number of red marble in bag = 6

total number of blue marble in bag = 4

So, total marbles in the bag = 6 + 4 = 10 marbles

Now,if E : Any given event, then

$\textrm{P (Event E)} = \frac{\textrm{Total number of favorable outcomes}}{\textrm{Total Outcomes}}$