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Leviafan [203]
3 years ago
13

ASAP HELP PLZZZZ What is the image of the point (9, -2) after a rotation of o counter-clockwise about the origin?

Mathematics
2 answers:
antoniya [11.8K]3 years ago
5 0
I think its (2, 9) :)
Zolol [24]3 years ago
4 0

Answer:

It should be (2,9).

Step-by-step explanation:

If you rotate it counter clockwise, the x value and y value switch numbers and they will both become postive.

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(8p - 2) (6p+2) <br><br> help plz
qaws [65]

Answer:

48p^2+2p-4

Step-by-step explanation:

We can use the FOIL method to expand two multiplied binomials. It states that (a+b)(c+d)=ac+bc+ac+bd. The FOIL method stands for First(first terms) outer(outer terms) inner(inner terms) last(last terms).

So, we can expand our binomials now!

(8p-2)(6p+2)=(8p)(6p)-2(6p)+(8p)(2)-2(2)=48p^2-12p+14p-4=\boxed{48p^2+2p-4}

8 0
3 years ago
URGENT! (Grades close tomorrow and turning this in will boost my grade from a B to an A in College Algebra. I can't figure these
zvonat [6]

Answer:

  24.  see below for a drawing with axis intercepts labeled

  30.  the plane is parallel to the y-z plane. It is "x=4". The only axis intercept is (4, 0, 0).

Step-by-step explanation:

24. The axis intercepts are fairly easily found. You can do it a couple of ways.

<u>first way</u>

  • Set other variables to zero and divide by the coefficient of the variable of interest.

For 3x +5y +15z = 15, the x-intercept can be found by setting y and z to zero. This gives ...

  3x = 15

so, dividing by 3 tells you the x-intercept is ...

  x = 15/3 = 5

Likewise, the y- and z-intercepts are, respectively, ...

  y = 15/5 = 3

  z = 15/15 = 1

So, the points where the plane crosses the axes are ...

  (5, 0, 0), (0, 3, 0), (0, 0, 1) . . . . axes intercepts

__

<u>second way</u>

  • Divide by the constant on the right, and express all coefficients as denominators

Doing that gives ...

\dfrac{3x+5y+15z}{15}=1\\\\\dfrac{x}{5}+\dfrac{y}{3}+\dfrac{z}{1}=1

The denominators are the corresponding intercepts. (This is called the "intercept form" of the equation of the plane.)

From the above equation, we see the axis intercepts are ...

  (5, 0, 0), (0, 3, 0), (0, 0, 1) . . . . same as above

Actually, the math for these two methods is virtually identical. The second way does it "all at once", so can take fewer steps. Effectively, you're doing the math of the "first way" and expressing the result in the denominator.

__

Please note that when a variable is missing, there is no intercept for that axis. That is, the plane is parallel to that axis. (In problem 30, for example, the y- and z-variables are missing. The plane x=4 is parallel to the y- and z-axes (the y-z plane).)

_____

In the first attached drawing, the x-axis is red, the y-axis is green, and the z-axis is blue. The labeling of the points is difficult to see, but the axes are a different (lighter) color behind the plane than in front of it. This plane forms a triangle in the first octant (x, y, z > 0).

In the second attached drawing, the x=0 plane is blue; the y=0 plane is green, and the z=0 plane is red. The plane of the equation is yellow. This figure better shows the triangle in the first octant.

3-D graph paper (isometric graph paper) grids are available with a web search. Such might make it easier to draw the planes you need to draw. (See the third attachment for one example.)

3 0
3 years ago
suppose that a company claims that its coffee cans contain 8.2 ounces of coffee, on average. you take many large samples, and fi
vovangra [49]

Answer:

Accept the claim that mean = 8.2oz.

Step-by-step explanation:

Given that a company claims that its coffee cans contain 8.2 ounces of coffee, on average.

To check this, normally large samples are drawn and sample mean is calculated

Then hypotheses created as

H0: Mean = 8.2

Ha: Mean not equals 8.2

The std deviation of sample is found out and then 95% confidence interval is calculated.

If the sample mean falls within 95% confidence interval, then we are 95% confident that for large samples, the sample mean would fall within this interval. Also the claim can be accepted.

Hence conclusion is accept null hypothesis that mean = 8.2 oz.

4 0
3 years ago
Read 2 more answers
I need help with part b and c
Vikki [24]

I am not sure about b cut I think C is 10

5 0
3 years ago
PLEASE ANSWER QUICK!!!SHOW STEPS
Vedmedyk [2.9K]
5. Given the equation y = (1/4) cos[(2pi/3)*theta]:
5a. For the general equation y = a cos(bx), the period is given by 2pi/b. In this equation, b = 2pi/3, so this means that 2pi/b = 2pi/(2pi/3) = 3. Therefore, the period of this equation is 3, and the cosine wave repeats itself every 3 x-units.
5b. For the general equation y = a cos(bx), the amplitude is given by a. Therefore the amplitude is a = 1/4, and this means that the cosine wave's range is from -1/4 to 1/4 for all values of x.
5c. The equation of the midline is y = 0. This represents the average value over the wave. This is determined by adding the highest and lowest values of the range and taking the average, in this case, 1/4 + (-1/4) = 0, and 0 / 2 = 0. Another way to do this is using the general equation y = a cos(bx) + c, where the midline's equation is y = c. In this case, there is no value of c in the given, implying that c = 0, and the midline is y = 0.

6. Let the horizontal distance be x. Then tan42 = h/x, and h = x tan42. Then using the Pythagorean theorem: 3280^2 = h^2 + x^2
3280^2 = x^2 (tan42)^2 + x^2
3280^2 = x^2 [(tan42)^2 + 1]
x = 2437.52
Therefore, h = x tan42 = 2,194.75 ft.

5 0
3 years ago
Read 2 more answers
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