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2 years ago

Use inductive reasoning to find the 10th term in the sequence 5, 8, 11, 14, ...

Mathematics

1 answer:

velikii [3]2 years ago

3 0

Answer: 32

Step-by-step explanation: this is arithmetic sequence

general formula = a+(n-1)d

nth term = 5+(n-1)3

=5+3n-3

=2+3n

10th term = 2+3(10)

=32

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What is the area of this triangle

skad [1K]

area=15 inches

Step-by-step explanation

Formula for the area of a triangle is BxH/2 (base times height divided by 2)

so 5x6=30, 30/2= 15

5 0

3 years ago

Y <img src="https://tex.z-dn.net/?f=y%20%20%5Cgeqslant%20%20%20-%205x%20%2B%20%203" id="TexFormula1" title="y \geqslant -

masha68 [24]

Okay so at first it was confusing because I didn't know what you were asking but I'm Guessing you wanted it graphed and shaded so here you go.

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4 years ago

Use rules of transformations to answer each of the items below. Be sure to answer in complete sentences, and when necessary, inc

cestrela7 [59]

We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABC

We want to dilate triangle ABC by scale factor of 2 at the center (0,2)

The image is shown below as triangle A'B'C' with coordinates (8.6), (8,18), and (18,6).

Triangle ABC has a base of 4 units and a height of 6 units
Triangle A'B'C' has a base of 8 units and a height of 12 units

Applying Pythagoras theorem to triangle ABC to find the hypotenuse
$BC^{2}= AB^{2}+ AC^{2}$
$BC^{2}= 4^{2}+ 6^{2}$
$BC^{2} =52$
$BC=2 \sqrt{13}$

Now, we calculate the hypotenuse of the image
$B'C'^{2}= A'B'^{2}+ A'C'^{2}$
$B'C'^{2}= 8^{2}+ 12^{2}$
$B'C'^{2}=208$
$B'C'= \sqrt{208} =4 \sqrt{13}$

The hypotenuse of the image is twice the hypotenuse of triangle ABC which proof the two shapes are similar shape

7 0

3 years ago

PLEASE help asap if u know the answer!!!! quadratic functions:vertex form thank you!!!

SOVA2 [1]

Answer:

The answer to your question is: third option, it's a parabola

Step-by-step explanation:

f(x) = (x + 4)²

f(x) = x² + 4

f(x) = (x - 4)² I think this is the right answer, because when get the vertex, the signs are changed, if the -4 is negative, it means that the graph must be located in +4.

f(x) = x² - 4

6 0

3 years ago

Find the 50th term of the sequence 5, -2, -9, -16, ...

Elodia [21]

Answer:

-338

Step-by-step explanation:

So we have the sequence:

5, -2, -9, -16...

First, note that this is an arithmetic sequence.

This is because each individual term is the previous term added by a common difference.

We can see that this common difference is -7, because each subsequent term is 7 less than the previous one. For example, 5 minus 7 is -2, -2 minus 7 is -9, and so on.

So, to find the 50th term, we can write an explicit formula for our sequence.

The standard form for the explicit formula for an arithmetic sequence is:

$x_n=a+d(n-1)$