4(-2)² + 8(-2) + 3(-2) + 6 =

Answers

Answer 1
Answer: 4(−2)2+(8)(−2)+(3)(−2)+6=
(4)(4)+(8)(−2)+(3)(−2)+6
=
16+(8)(−2)+(3)(−2)+6
=
16+−16+(3)(−2)+6
=0+(3)(−2)+6=0+−6+6=
−6+6
=
0

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The areas of two similar polygons are in the ratio 64:81. find the ratio of the corresponding sides.

Answers

If the areas of two similar polygons are in the ration 64:81, then the ratio of their corresponding sides are (8)/(9)

What are polygons?

"A polygon, in geometry, any closed curve consisting of a set of line segments (sides) connected such that no two segments cross."

The simple polygons are triangles (3 sides), quadrilaterals (4 sides), and pentagons (5 sides).

Now if we take the given polygon as square (4 sides).

Then,

Let the sides of squares are a and b.

(a^(2) )/(b^(2) )=(64)/(81) \n(a)/(b)=\sqrt{(64)/(81) } \n(a)/(b)=(8)/(9)

Hence, the ratio of the corresponding sides of polygon is (8)/(9)

Learn more about the polygons here

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Answer is 8:9. The easiest example is a square. If the polygons are squares with areas of 64 and 81 then the sides of the squares are 8 and 9. Therefore, the ratio of the corresponding sides is 8:9

= (b) Use your calculator to determine the exact value of 35.23 x 3.02 Exactly Correct to 2 decimal place

Answers

Answer:

The exact value is 106.40

Step-by-step explanation:

The exact value of the given operation obtained with the calculator is:

35.23 * 3.02 = 106.3946

The result expressed in 2 decimal places is:

106.3946 = 106.40  

Therefore, the exact value is 106.40

I hope it helps you!

3. How do you read -17?
-17 is negative

Answers

Answer:

minus seventeen

-17 is a negative number

Step-by-step explanation:

Minus/subtract seventeen
-17 is a negative number.

find the equation of the line passing through the point (-4,1) and the perpendicular to the line y=1/3x+4

Answers

Answer:

The answer is

y =  - 3x -  11

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

y =  (1)/(3) x + 4

Comparing it with the general equation above

Slope / m = 1/3

Since the lines are perpendicular to each other the slope of the other line is the negative inverse of the original line

That's

Slope of perpendicular line = - 3

Equation of the line using point (-4 , 1) and slope - 3 is

y - 1 =  - 3(x + 4) \n y - 1 =  - 3x - 12 \n y =  - 3x - 12 + 1

We have the final answer as

y = - 3x - 11

Hope this helps you

-8/9 divided by -8/9 in fraction form

Answers

Answer:

1

Step-by-step explanation:

If you ever divide a number by itself, it will be 1.

Answer:

I believe its 1

Step-by-step explanation:

Consider two events such that P(A) = 1/3, P(B) = 4/5, and P(A ∩ B) = 4/15. Are events A and B independent events?Yes, they are independent because P(A) ⋅ P(B) ≠ P(A ∩ B)
No, they are dependent because P(A) ⋅ P(B) = P(A ∩ B)
Yes, they are independent because P(A) ⋅ P(B) = P(A ∩ B)
No, they are dependent because P(A) ⋅ P(B) ≠ P(A ∩ B)

Answers

Yes, they are independent because P(A) ⋅ P(B) = P(A ∩ B)