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2 years ago

Judging by appearance, is it reasonable to say that the figures below are similar? How do you know?

Mathematics

1 answer:

mamaluj [8]2 years ago

4 0

Answer:

Step-by-step explanation:

the proportions all seem to stay the same, so while the second figure is smaller, all parts of the figures seem to follow the same scaling factor.

there are 8 isoceles triangle "rays" emanating from a central circle in both figures. so, also the main characteristics are the same.

the smaller figure appears rotated compared to the other.

so, it was rotated and then dilated (or vice versa, as the sequence of these 2 operations is irrelevant).

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Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check

Kisachek [45]

<h3>1. The term $-2(x-2)^2$ is simplified by first squaring the expression (x – 2). </h3><h3>TRUE </h3><h3>2. The simplified product is a binomial. TRUE</h3><h3>3. After multiplying, the like terms are combined by adding and subtracting.</h3><h3>TRUE </h3><h3>4. The parentheses are eliminated through multiplication. TRUE</h3><h3>5. The final simplified product is $-28x^2 + 8x - 8$ FALSE</h3>

Step-by-step explanation:

Here, the given expression is :

$F(x) = 3x(x- 12x) + 3x^2-2(x-2)^2$

Now, let us first solve the given expression step wise:

$F(x) = 3x(x-12x) +3x^2 -2(x-2)^2\\= 3x(-11x) +3x^2 -2(x^2 +4 -4x)\\= -33x^2 + 3x^2 -2x^2 -8+8x\\= -32x^2 +8x - 8\\\implies F(x) = -32x^2 +8x - 8$

Now, here the given statements are:

1. The term $-2(x-2)^2$ is simplified by first squaring the expression (x – 2).

TRUE

2. The simplified product is a binomial. TRUE

3. After multiplying, the like terms are combined by adding and subtracting.

TRUE

4. The parentheses are eliminated through multiplication. TRUE

5. The final simplified product is $-28x^2 + 8x - 8$ FALSE

As the simplified expression is: $(-32x^2 +8x -8)$

7 0

3 years ago

Simplify the radicals: do 10- 18, no need to show work if you usually do, thank you!!

Ainat [17]

Answer:

10. 7

11. 4

12. 8

13. 7

14. 2

15. 3

16. 11

17. 9

18. 8

Step-by-step explanation:

3 0

3 years ago

What is the sum of adding two opposites together? *

BartSMP [9]

Answer:

I'm guessing the opposites are negative and positive so whenever you add two opposite numbers it will always be 0. The answer will always be 0.

For example:

-3 + 3 = 0

4 - 4 = 0

-15 + 15

5 0

3 years ago

I need help with this <br><br> 10 points <br><br> Pls pls pls someone come help me

Vikki [24]

Answer:

angle b is 62 degrees. This is because if we solve for x, by putting the 2 equations equal to each other(because they are vertical angles), than we figure out that x=6. Now plug that into angle b's equation, and you get 62 degrees.

Step-by-step explanation:

7 0

3 years ago

What is the value of X?

andrezito [222]

Solution:

3x + 50 = 6x - 10 (Vertically opposite angles)

Simplify the equation to find x.

<u>Add 10 both sides.</u>

3x + 50 = 6x - 10
=> 3x + 50 + 10 = 6x - 10 + 10
=> 3x + 60 = 6x

<u>Subtract 3x both sides.</u>

3x + 60 = 6x
=> 3x - 3x + 60 = 6x - 3x
=> 60 = 3x

<u>Divide 3 both sides.</u>

60 = 3x
=> 60/3 = 3x/3
=> x = 20

6 0

2 years ago

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