Use the distributive property to write an expression that is equivalent to 8(a+4)

Answers

Answer 1

Answer:

Multiply it out!

8×a+8×4

8a+32

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Thank you Philo for your answer. I have one more question for you regarding the same rectangular prism that is 3 units long, 2 units wide and has 7 layers and 42 cubic units, how many cubes of the prism would have exactly one face showing on the outside? Please

you are standing, on the horizontal ground, __ feet from the base of a cliff. Admiring your surroundings, you nite that the angle of elevation to the top of the cliff to be __ degrees. If realistic limits are imposed on your choices, what would be a reasonable distance from the cliff? What would be a reasonable angle if elevation? Explain.

Answers

If realistic limits are imposed on the choices I would go with 1000 ft. For the angle of elevation I would chose 34°. This because as we know an angle of elevation is the angle between the observer's’ line of sight and a horizontal line when the observer looks upward.

If you wanted to find the height of the cliff you would use the following:

Tan34 = x/1000

x = tan(34)*1000

x = 674.51 ft.

I hope this helps, Regards.

Expand and simplify (2+3i)(4-I)

Answers

$(2+3i)(4-i)=\n8-2i+12i+3=\n11+10i$

(2 + 3i)(4 - i)
8 - 2i + 12i - 3i²
8 + 10i - 3(-1)
8 + 10i + 3
8 + 3 + 10i
11 + 10i

Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x?

Answers

The question is asking us to find which function in the vertex form is equivalent to f ( x ) = 4 + x^2 - 2 x. We have to add 1 to make a squared binomial ( and also to subtract 1 ). f ( x ) = ( x^2 - 2 x + 1 ) - 1 + 4 = ( x - 1 )^2 + 3. Then we have the vertex point ( 1, 3 ). Answer: The function in vertex form is: f ( x ) = ( x - 1 ) ^2 + 3.

Answer:

Vertex form of the function will be f(x) = (x - 1)² + 3.

Step-by-step explanation:

Vertex form of a quadratic function is given by f(x) = a(x - h)² + k

where (h, k) is the vertex of the given parabola.

Now we will convert the function in the vertex form.

f(x) = x² - 2x + 1 + 3

= (x - 1)² + 3

Therefore, the vertex form of the function will be f(x) = (x - 1)² + 3

and the vertex will be (1, 3).

Find the missing side and round to the nearest tenth

Answers

In this problem you use cosine because you know the hypotenuse and you want to know the adjacent side of the triangle. So in your calculator you would input cos(52). Then you would multiply that answer with the hypotenuse side. So your equation would be this: cos(52) x 13

Ha sry I know I am asking a lot from y’all but I really need help

Answers

Answer:

33333333333333333333333333333333333333333333333333333333333333333

Step-by-step explanation:

Answer:

the first one has positive quotient

AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to AB ?A.
5x − 3y = 0
B.
-x + 3y = 0
C.
-5x − 3y = 0
D.
3x + 5y = 0
E.
-3x + 5y = 0

Answers

Answer:

3y + 5x = 0

Step-by-step explanation:

The slope of the line = (y2-y1) / (x2-x1) = (5-0)/(-6-(-3))

= 5 / -3 = -5/3

Using the point-slope form , the line that passes through the origin and parallel to this line is

y - 0 = -5/3(x - 0)

y = -5/3 x

Multiply through by 3:-

3y = -5x

5x + 3y = 0

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