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3 years ago

What is true about the graphs of y = x^2 – 2 and y = x^2 + 2?

Mathematics

1 answer:

ASHA 777 [7]3 years ago

6 0

Answer:

Graphs behave differently at various x-inter cepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Suppose, for example, we graph the function. f(x) = (x+3)(x - 2)²(x+1)³.

Notice in the figure below that the behavior of the function at each of the x-intercepts is different.

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Use the law of cosines to find the value of cos theta. round your answer to two decimal places

REY [17]

<u>Answer:</u>

The correct answer option is B. 0.21.

<u>Step-by-step explanation:</u>

We are to find the value of $cos \theta$ using the law of cosines.

We know that the formula of the cosine rule is given by:

$c ^ 2 = a ^ 2 + b ^ 2 - 2 a b cos C$

So substituting the given values in the above formula:

$10.9 ^ 2 = 5.8 ^ 2 + 10.5 ^ 2 - 2 (5.8) (10.5) cos C$

$118.81=33.64+110.25-121.8cosC$

$118.81 - (33.64+110.25) = -121.8cosC$

$118.81-143.86=-121.8cosC$

$cosC=\frac{-25.05}{-121.8}$

cos C = 0.21

7 0

3 years ago

The probability distribution for a random variable x is given in the table.

Aleksandr [31]

Answer:

30%

Step-by-step explanation:

The sign means that x can be equal to or LESS than -3. The only ones are -3 and -5. 0.17+0.13=0.30

4 0

2 years ago

Someone please help

shepuryov [24]

Answer:

Step-by-step explanation:

2 cubes horizontal, 3 cubes (down) vertical, 2 cubes horizontal.

4 0

3 years ago

Determine if √4 is rational or irrational and give a reason for your answer.

Anika [276]

Answer:

rational

Step-by-step explanation:

Because if you take the square root of 4 you get 2

if it was irrational then it would be a decimal or fraction

(plz mark braillist)

7 0

3 years ago

I need the volume for 9,11,and 13

mihalych1998 [28]

Hey there!

<h3>Question 1</h3>

Let's use 3.14 for pi during this. It'll make it a lot easier.

The volume for a cone is $\pi r^{2} \frac{h}{3}$ .

The diameter of this cone is 17.6 inches. Since the radius is half the diameter, we can find the radius by dividing this amount by 2.

17.6 ÷ 2 = 8.8

The height of this cone is 23.4 inches.

Plug the values into the equation.

$\pi 8.8^{2} \frac{23.4}{3}$

Next, square 6.8 and divide 23.4 by 3. Also, replace the pi symbol with 3.14.

$3.14 * 77.44 * 7.8$

Multiply the numbers together.

<u>The volume of this cone is approximately 1896.66 cubic inches.</u>

<h3>Question 2</h3>

Finding the volume of a trapezoidal prism can be done by finding the are of the trapezoidal face and multiplying it by the depth.

Formula for finding the area of a trapezoid is $a = \frac{1}{2} h(b_{1} +b_{2} )$

The two bases are 10 and 34, and the height is 24.7 feet. Put these values into the equation.

$a = \frac{1}{2} 24.7(10 +34 )$

Add 10 and 34, then multiply it by 24.7 and 1/2.

a = 543.4

Multiply that value by 19, which is the depth of the figure.

<u>The volume of the prism is 10324.6 cubic feet.</u>

<h3>Question 3</h3>

The formula for volume of a triangular pyramid is v = 1/3ah, with a the area of the base and h the height.

The formula for the area of an equilateral triangle, which is the base, is $a = \frac{\sqrt{3} }{4} s^{2}$

The length of the side is 12, so we can square that to get 144.

Now multiply that by $\frac{\sqrt{3} }{4}$ to get the area of the base.

The area of the base is about 62.35 square meters.

The height of the pyramid is 20 meters. Plug that and the area of the base into the equation.

v = 1/3 x 62.35 x 20

Multiply the numbers together to get the volume.

<u>The volume of the pyramid is approximately 415.67 cubic meters.</u>

Hope this helps!

3 0

3 years ago