What is the scale factor of the dilation?

Can the sine rule relationship in trigonometry be used with non right angled triangle?

vaieri [72.5K]

Answer:

Yes

Step-by-step explanation:

The sine rule works on all triangles (not just right-angled triangles) where a side and it's opposit angles are known.

4 0

2 years ago

Multiple polynomial the (x^3+3x^2+1)(3x^2+6x-2)

Mrrafil [7]

The product of given polynomials is: $3x^5+15x^4-16x^3-3x^2+6x-2$

Step-by-step explanation:

Given polynomials are:

$(x^3+3x^2+1)\\and\\(3x^2+6x-2)$

In order to multiply both polynomials, we will use the distributive property

So,

$= (x^3+3x^2+1)(3x^2+6x-2)\\=x^3(3x^2+6x-2)+3x^2(3x^2+6x-2)+1(3x^2+6x-2)\\=3x^5+6x^4-2x^3+9x^4+18x^3-6x^2+3x^2+6x-2$

Combining like terms

$=3x^5+6x^4+9x^4-2x^3+18x^3+3x^2-6x^2+6x-2\\=3x^5+15x^4-16x^3-3x^2+6x-2$

Hence,

The product of given polynomials is: $3x^5+15x^4-16x^3-3x^2+6x-2$

Keywords: Polynomials, variables

Learn more about polynomials at:

#LearnwithBrainly

6 0

3 years ago

Need help on all plz

olga55 [171]

3.
a. 380 ÷ 38 = 10
b. 190 ÷ 38 = 5
c. 570 ÷ 38 = 15
d. use 10 times 38 = 380, 190 is half of 380 so half of 10 is 5, 570 is 380 + 190 so 10 + 5

4.
a. 670 ÷ 67 = 10
b. 603 ÷ 67 = 9
c. 737 ÷ 67 = 11
d. use 10 times 67 = 670, 603 is 670 - 67 so 10 - 1 = 9, 737 is 670 + 67 so 10 + 1 = 11

Challenge:
1062 - 279 = 783
$\frac{1}{3} (783)=261$
783 - 261 = 522
522 ÷ 15 = 34 remainder 12
So she put 34 books in each box

7 0

2 years ago

Diego was asked to plot these points: (−50,0) ( − 50 , 0 ) , (150,100) ( 150 , 100 ) , (200,−100) ( 200 , − 100 ) , (350,50) ( 3

Irina18 [472]

Answer:

We have the points:

(-50, 0)

(150, 100)

(200, -100)

(350, 50)

(-250, 0)

First, we need to find the smallest and largest values of the x-component.

The smallest value is x = -250

The largest value is x = 350

Then the interval that we choose for the x-axis should include these two values (so we can plot the points)

Then we need to use, at least, the interval [-250, 350] (A interval that is a little bit larger than that will be easier to read, but that is the minimum he needs to do the plot)

Now let's do the same with the values of the y-components.

The smallest value is y = - 100

The largest value is y = 100

Then the vertical interval should be [-100, 100] or a little bit larger, like in the horizontal case.

We also can see that the values of x and y seem to jump in multiples of 50, then each unit of the grid could represent 50 units, so it is easier to plot. (These are also called intervals, and also theses will depend on each individual axis, but in this case we could use the same for both of them, because it works well for both axis)

4 0

3 years ago

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100+points & Brainliest<br><br> what is the simplified form of y2 + 7y + 12 / y2 + 8y + 15

Fantom [35]

(y^2 + 7y +12) / (y^2+8y +15)

factor both equations:

(y+3)(y+4) / (y+3) (y+5)

cancel out common factors to get:

y+4 / y+5

8 0

3 years ago

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