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2 years ago

write an expression to describe a rule for the sequence. Then find the 100th term in the sequence 3, 10, 17, 24, 31, 38, ...

1 answer:

3 0

As we can tell, the first number is 3, so we'll have a y-intercept in our equation and overall. Secondly, we can tell it's increasing by 7 each time, so we can tell that's the rate. But, it won't just be 3+7x, if we plug 1 in, it would be 10 and not 3. We need to put in the parenthesis 3+7(x-1). If we put one in, we would receive three. Let's make sure this works.
3+7(5-1)
3+7(4)
3+28
31
31 is the fifth terms.
So the expression would be 3+7(x-1).
Let's find the 100th term.
3+7(100-1)
3+7(99)
3+693
696
So the 100th term would be 696.

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Given that CD¯¯¯¯¯¯¯¯ is a perpendicular bisector of AB¯¯¯¯¯¯¯¯, where D is on AB¯¯¯¯¯¯¯¯, how can you use the Pythagorean Theor

Liula [17]

Answer:

$(AD)^2 + (CD)^2 = (CA)^2$ and $(CD)^2 + (BD)^2 = (CB)^2$

Step-by-step explanation:

Given

Bisector: CD

of Line AB

Required

Apply Pythagoras Theorem

From the question, CD bisects AB and it bisects it at D.

The relationship between AB and CD is given by the attachment

Considering ACD

From the attachment, we have that:

$Hypothenuse = CA$

$Opposite = CD$

$Adjacent = AD$

By Pythagoras Theorem, we have

$(AD)^2 + (CD)^2 = (CA)^2$

Considering CBD

From the attachment, we have that:

$Hypothenuse = CB$

$Opposite = CD$

$Adjacent = BD$

By Pythagoras Theorem, we have:

$(CD)^2 + (BD)^2 = (CB)^2$

4 0

2 years ago

Read 2 more answers

A line has a slope of 7 and contains the point (5, −9).

sergejj [24]

Your answer would come out to be y=7x-44
Which would be A, B, and D.
Those match up to that answer.

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3 years ago

What is the value of (4-2)^3-3X4

Mazyrski [523]

<h2>Answer:</h2>

$3 x^{4}-8=0$

<h2>Given: </h2>

$(4-2)^{3}-3 x^{4}$

<h2>Step-by-step explanation:</h2>

In this problem, we need to find the value of the given expression for which we need to simplify the given expression.

$\Rightarrow(4-2)^{3}-3 x^{4}=0$

We need to solve the numbers within the parentheses.

$\Rightarrow(2)^{3}-3 x^{4}=0$

We can bring the constant one side and variables another side.

$\Rightarrow 8=3 x^{4}$

Taking fourth root for ‘8’ and ‘3’ will give numbers which are very tough to solve further.

Since, we cannot solve the above equation further. The value of the given equation remains,

$\therefore 3 x^{4}-8=0$

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3 years ago

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vitfil [10]

Answer: the graph increases from left to right, since the price goes up. If you were to actually graph this, the years would be on the bottom and the price would be on the left side, so since the price is going up, so is the graph. :)

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