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icang [17]
2 years ago
9

|k + 8| > 2, solve for k.

Mathematics
1 answer:
FromTheMoon [43]2 years ago
7 0

Answer:

k > -6

k < -10

Step-by-step explanation:

|k + 8| > 2

~We know this problem will have two different solutions

k + 8 > 2 and k + 8 < -2

~Solve for k in both

k + 8 > 2

k > -6

~Solution 2

k + 8 < -2

k < -10

Best of Luck~

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What is the equation of the line?
djverab [1.8K]

Answer:

y = 1/2 - 3/2

Step-by-step explanation:

All we need to do is find the y-intercept of the line using the formula for slope intercept form [ y = mx + b ].

-3 = 1/2(-3) + b

-3 = -1.5 + b

-1.5 = b

We can put all the information we know/solved for into the formula.

y = 1/2 - 1.5

Best of Luck!

7 0
2 years ago
Read 2 more answers
In the following image, AB is parallel to DC, and BC is a transversal intersecting both parallel lines.
Ulleksa [173]

Answer:

In the following image, AB is parallel to DC, and BC is a transversal intersecting both parallel lines.

and the angle marked q° are ________angles.

The angles marked p° and q° are ________

The angle marked p° and are _______angles.

The angles marked q° and n° are _______angles.

The angles marked n° and m° are _______angles.

DONT ANSWER UNLESS YOU KNOW IT

6 0
3 years ago
The largest z-score available in most tables is 2.99, which corresponds to a probability of 99.86%. A fair coin is
lana66690 [7]

Answer:

The number of heads observed is 121.14 heads

Step-by-step explanation:

The formula for the z-score of a proportion is given as follows;

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}

Where:

{\hat{p} = Sample proportion

p = Population success proportion = 0.5

q = 1 - p = 1 - 0.5 = 0.5

n = Number in of observation = 200

z = 2.99

Hence, we have;

z=\dfrac{\hat{p}-0.5}{\sqrt{\dfrac{0.5 \times 0.5}{200}}} = 2.99

Therefore;

{\hat{p}-0.5}{} = 2.99 \times \sqrt{\dfrac{0.5 \times 0.5}{200}} = 2.99 \times\dfrac{\sqrt{2} }{40}

{\hat{p} = 0.6057

Whereby \ \hat p = \dfrac{Number \ of \ heads}{Number \ of \ observation} =  \dfrac{Number \ of \ heads}{200} = 0.6057

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.

5 0
2 years ago
(10.02)
melisa1 [442]

Answer:

sin O=\dfrac{3\sqrt{13}}{13}\\cos O=\dfrac{2\sqrt{13}}{13}\\tan O=\dfrac{3}{2}

Step-by-step explanation:

If the point (2,3) is on the terminal side of an angle in standard position.

Adjacent of O, x=2,

Opposite of O, y=3

Next, we determine the hypotenuse, r using Pythagoras Theorem.

Hypotenuse =\sqrt{Opposite^2+Adjacent^2} \\r=\sqrt{3^2+2^2} \\r=\sqrt{13}

Therefore:

sin O=\dfrac{Opposite}{Hypotenuse} \\sin O=\dfrac{3}{\sqrt{13}} \\$Rationalizing\\sin O=\dfrac{3\sqrt{13}}{13}

cos O=\dfrac{Adjacent}{Hypotenuse} \\cos O=\dfrac{2}{\sqrt{13}} \\$Rationalizing\\cos O=\dfrac{2\sqrt{13}}{13}

Tan O=\dfrac{Opposite}{Adjacent} \\tan O=\dfrac{3}{2}

4 0
3 years ago
You have the side lengths 3 in., 6 in., and 10 in. Can these side lengths form a triangle
OverLord2011 [107]
No they cannot because 3 is way to short
6 0
2 years ago
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