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4 years ago

10

Simplify a•a²•a³ of the following

1 answer:

professor190 [17]4 years ago

5 0

Answer:

a^6

Step-by-step explanation:

when multiplying exponents, add the exponents together. you can distribute to prove it, a^2 is a•a, a^3 is a•a•a so by bringing it together you get a•(a•a)•(a•a•a) which gets a 6 times or a^6

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A city planner designs a park that is a quadrilateral with vertices at J(-1, 1), K (3, 3), L (5, -1), and

Liono4ka [1.6K]

9514 1404 393

Answer:

83 m

Step-by-step explanation:

The attached diagram shows the lengths of the midlines to be 3.16 and 5.10 units on the coordinate plane. The sum of these is (3.16 +5.10) = 8.26 coordinate plane units. Since each unit on the coordinate plane represents 10 m, the total path length is about ...

8.26(10 m) = 82.6 m ≈ 83 m

_____

The distance formula will tell you the distances are ...

AC = √(3² +1²) = √10

BD = √(5² +1²) = √26

The total path length is about (10 m)(√10 +√26) ≈ 82.61230 m ≈ 83 m.

3 0

3 years ago

You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo o

Lorico [155]

Answer:

9.

Step-by-step explanation:

We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.

First of all we will convert dimensions of poster from feet to inches.

$3\text{ feet}=3\times 12 \text{ inches}=36\text{ inches}$

$4\frac{1}{2}\text{ feet}=4.5\times 12 \text{ inches}=54\text{ inches}$

Now let us compare sides of our original photo with corresponding sides of poster.

$\frac{36}{4} =9$

Now let us compare the second pair of corresponding sides.

$\frac{54}{6} =9$

We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.

5 0

3 years ago

Determine whether the following function is one-to-one. f ( x ) = 6 x + 1

seraphim [82]

Answer:

one to one function

Step-by-step explanation:

f(x)=6x+1 can only be a one to one function when x1=x2

Now,

f(x1)=f(x2)

or, 6x1 + 1 = 6x2 + 1

or, 6x1 = 6x2

or, x1 = x2

So f(x)= 6x + 1 is a one to one function

4 0

2 years ago

According to Lambert's law, the intensity of light from a single source on a flat surface at point P is given by Upper L equal

malfutka [58]

Answer:

(a) $L = k*(1 - sin^{2}(\theta))$

(b) L reaches its maximum value when θ = 0 because cos²(0) = 1

Step-by-step explanation:

Lambert's Law is given by:

$L = k*cos^{2}(\theta)$ (1)

(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:

$cos^{2}(\theta) + sin^{2}(\theta) = 1$

$cos^{2}(\theta) = 1 - sin^{2}(\theta)$ (2)

By entering equation (2) into equation (1) we have the equation in terms of the sine function:

$L = k*(1 - sin^{2}(\theta))$

(b) When θ = 0, we have:

$L = k*cos^{2}(\theta) = k*cos^{2}(0) = k$

We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...

Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.

I hope it helps you!

5 0

3 years ago

Read 2 more answers

I Will give brainllest! Look at picture answers. please show all your work and explain how you get it.

mel-nik [20]

Answer:

-1/10

I'm sure this answer is right.

Use the formula M= rise/run.

Then you will get this answer.

3 0

3 years ago