Determine the x- and y- intercepts for the graph equation y = -8

Mathematics

2 answers:

FromTheMoon [43]3 years ago

7 0

Answer:

b. No x-intercept y-intercept is (0, -8)

Klio2033 [76]3 years ago

6 0

Answer:b

Step-by-step explanation:

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Nick has a box of ornaments. All of them are blue, exept for 6. All of them are green, exept for 6. All of them are red, exept f

jek_recluse [69]

Answer: 3 ornaments of each color

Step-by-step explanation:

There are 3 colors.
For each of the colors, the other two colors have 6 ornaments, hence we can determine that there are 3 ornaments of each color.

5 0

3 years ago

Two buildings are facing each other on a road of width 12 metre . From the top of the first building, which is 10 metre high , t

Karo-lina-s [1.5K]

Answer:

$\displaystyle 10 + 12\sqrt{3}$ metres

Step-by-step explanation:

You are finding the height of the building with an angle of elevation, therefore we need to solve for EC to add it to BA [10 metres] and use TRIGONOMETRIC RATIOS to arrive at our conclusion. Just in case you have forgotten what they were, here they are:

$\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ$

We can now solve for EC:

$\displaystyle cot\:60 = \frac{12}{EC} → ECcot\:60 = 12 \\ \\ \frac{ECcot\:60}{cot\:60} = \frac{12}{cot\:60} → 12\sqrt{3} = EC$

OR

$\displaystyle tan\:60 = \frac{EC}{12} → 12tan\:60 = EC → 12\sqrt{3} = EC$

Now that you have solved for EC, you can now add it to your original 10 metres to get $\displaystyle 10 + 12\sqrt{3}$ metres. As a decimal, you would get $\displaystyle 30,78460969...$ metres. You can go ahead and round this off if necessary.

** The reason why the cotangent [or tangent] ratio was used was because EA is equivalent to DB by the definition of a rectangle. It has two pairs of parallel and congruent sides with four right angles. Plus, that is the adjacent side of the triangle, while EC is the opposite side of the triangle, so we knew our ratios were correct.

I am joyous to assist you at any time.

8 0

3 years ago

A data set has a mean of 112 and a standard deviation of 2.5.

Ahat [919]

Answer with explanation:

Mean of the data set $\mu$ = 112

Standard Deviation of the data set $\sigma$ =2.5

Since , 50% of data lies on both side of the mean.

Z at 50% = 0.1915

Margin of error for this data set

$=Z_{50 \text{percent}}\times\frac{\sigma}{\sqrt{\mu}}\\\\=0.1915 \times \frac{2.5}{\sqrt{112}}\\\\=0.1915 \times \frac{2.5}{10.58}\\\\=0.1915 \times 0.2362\\\\=0.0452$