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dalvyx [7]
2 years ago
9

What is the next term in the​ sequence?

Mathematics
2 answers:
just olya [345]2 years ago
4 0

if the sequence goes on without any changes

it will be d+8a

Aleksandr [31]2 years ago
3 0

d~~,~~d+2a~~,~~d-2a~~,~~d+4a~~,~~d-4a~~,~~\underline{d+6a}~~,~~d-6a~~,~~d+8a...

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Factor completely:<br>64 - y^3
madam [21]
From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is 4^{3}, and y^{3}.

There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.

That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are a^{3} and b^{3}. The difference of those two cubes is:
a^{3} - b^{3} = (a - b)( a^{2} + ab + b^{2})

In our problem, a = 4 (since a^{3} = 64) and b = y (since b^{3} = y^{3}. Plug these values into the rule to find the factor of 64 - y^3:
64 - y^3 \\&#10;= (4 - y)( 4^{2} + 4y + y^{2}) \\&#10;=  (4 - y)( 16 + 4y + y^{2})

-----

Answer: (4 - y)( 16 + 4y + y^{2})

8 0
3 years ago
You are supposed to distribute to only one term (the first).
Tom [10]

Answer:

true

Step-by-step explanation:

There is no distribution (unless you count substitution) in the second set of terms.

Edit: I think I get what your question is now. You are supposed to distribute to every term inside the parenthesis (false)

6 0
3 years ago
Read 2 more answers
If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true. ​
agasfer [191]

Answer:

-2

Step-by-step explanation:

-3(2)+4

-6+4

-2

5 0
3 years ago
Solve the question below 77
Vadim26 [7]

Answer:

<em>The height of the monument is 124.8 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The ratios of the sides of a right triangle are called trigonometric ratios. The tangent ratio is defined as:

\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}

The figure attached below shows the different distances involved in the problem. We heed to find the value of h, the height from Daniel's eyes. Then we'll add it to the 6 ft where his eyes are located from the ground.

Taking the angle of 68° as a reference:

\displaystyle \tan 68^\circ=\frac{h}{48}

Solving for h:

\displaystyle h=48\tan 68^\circ

Calculating:

h = 118.8 ft

The height of the monument is 118.8 ft + 6 ft = 124.8 ft

6 0
3 years ago
Please help me with 3 and 4 and I think this problem is talking abt problem 2 I posted for help
Naddika [18.5K]
1/6 for the first question and 1/3 for the second
8 0
3 years ago
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