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Tasya [4]
2 years ago
8

Write the equation in point-slope form of the line that passes through the given point with the given slope.

Mathematics
1 answer:
Ede4ka [16]2 years ago
3 0

Answer:

Step-by-step explanation:

1 Simplify brackets.

-3,9=-3,9,-3,-5−3,9=−3,9,−3,−5

2 Since -3,9=-3,9,-3,-5−3,9=−3,9,−3,−5 is false, there is no solution.

No Solution

Done

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A bike cost $500 and another costs $600 the more expensive bike Is 20% more that the other justify your answer.
Vsevolod [243]
The more expensive bike could be a bigger size so in stead of being a 20 inch it could be a 24 inch, another option is that one bike is made by a lower brand name company hile the expensive one is a better well know company so in that case the extra $100 is just a added price for the name. Last option is one's on sell and ones not. I hope this helped! :)
4 0
3 years ago
Can someone please explain how to do these?
Pani-rosa [81]

Answer:

<u>First question answer:</u> The limit is 69

<u>Second question answer:</u> The limit is 5


Step-by-step explanation:

For the first limit, plug in x=8 in the expression (9x-3), that's the answer for linear equations and limits.

So we have:

9x-3\\9(8)-3\\72-3\\69

The answer is 69


For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value x=1 into the simplified expression to get the correct answer. Shown below:

\frac{x^2+8x-9}{x^2-1}\\\frac{(x+9)(x-1)}{(x-1)(x+1)}\\\frac{x+9}{x+1}

<em>Now putting 1 in x gives us the limit:</em>

\frac{x+9}{x+1}\\\frac{1+9}{1+1}=\frac{10}{2}=5

So the answer is 5

3 0
3 years ago
Prove this identity using the product-to-sum identity for sin... sin^2 x=(1-cos(2x))/(2)
Simora [160]

Answer:

sin²x = (1 - cos2x)/2 ⇒ proved down

Step-by-step explanation:

∵ sin²x = (sinx)(sinx) ⇒ add and subtract (cosx)(cosx)

(sinx)(sinx) + (cosx)(cosx) - (cosx)(cosx)

∵ (cosx)(cosx) - (sinx)(sinx) = cos(x + x) = cos2x

∴ - cos2x + cos²x = -cos2x + (1 - sin²x)

∴ 1 - cos2x - sin²x = (1 - cos2x)/2 ⇒ equality of the two sides

∴ (1 - cos2x) - 1/2(1 - cos2x) = sin²x

∴ 1/2(1 - cos2x) = sin²x

∴ sin²x = (1 - cos2x)/2

4 0
3 years ago
In the Exercises below, find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding
nadezda [96]

Answer:

8) scale factor: 3

angles Q & L, S & N, r & M

sides 10 x 3 = 30, 6 x 3 = 18, 13 x 3 = 39

9) scale factor: 0.4

angles B & F, C & G, D & H, A & E

sides 9 x 0.4 = 3.6, 7.5 x 0.4 = 3, 10 x 0.4 = 4, 12 x 0.4 = 4.8

4 0
2 years ago
Frequent food questionnaires (FFQ) are a simple way to obtain information on the foods individuals consume by asking them questi
Ilia_Sergeevich [38]

Answer:

Asnwer is A

Step-by-step explanation:

since the correlation between the FFQ and DR is 0.89

      x                            y               xy                    x^{2}                            y^{2}

    8.26                      1.68          13.8768          68. 2276          2.8224

     0.83                      0               0                    06889                  0

     20.13                   15.1           303.963          405.2169          228.01

      11.16                   7.49          83.5884          124.5456           56.1001

      7.18                    12.84         92.1912            51.5524            164.8656

       1.76                       0                0                   3.0976                 0

     22.46                  25.06        567.8596        513.4756           628.0036

-----------------------------------------------------------------------------------------------------------

       ∑x_{i} =                 ∑y_{i} =              ∑x_{i} y_{i}=               ∑x_{i}^{2} y_{i}^{2}=             ∑y_{i} ^{2}=      

      71.98                   62.17         1061.479            1166.8046      1079.8017  

-------------------------------------------------------------------------------------------------------------

Correlation Coefficient or Pearson Correlation is given by:  

the rest calculation is in the attached image

3 0
3 years ago
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