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3 years ago

2, 9, 16, 23, Number pattern expression equations

Mathematics

2 answers:

algol [13]3 years ago

7 0

Answer:

see below

Step-by-step explanation:

2+7 = 9

9+7 = 16

16+7 = 23

We are adding 7 each time

an = a1+ 7(n-1) where an is the nth term a1 is the first term and n is the term number

an = 2 + 7n - 7

an = 7n -5

an+1 = an +7

miskamm [114]3 years ago

4 0

Answer:

Below

Step-by-step explanation:

The sequence first terms are:

● 2, 9, 16, 23

Notice that:

● 23 - 16 = 7

● 16 - 9 = 7

● 9 - 2 = 7

Each time we add 7 to get a new term

● 2 + 7 = 9

To get the next term take the last one and add 7 to it.

● 23 + 7 = 30

The next term is 30

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HELPPPPPPPPPPPPPPP RATE 5 STARSS

Stels [109]

Answer:

13. c,

14. a.

Step-by-step explanation:

13. The length of a side PQ with coordinates of

P as (x,y) and Q as (w,z)

is: $\sqrt{(x-w)^{2} +(y-z)^{2} }$

so, the length of the side AB =

$\sqrt{(5-5)^{2}+(-2+7)^{2} } =\sqrt{0^{2}+5^{2} } =5$

the length of side BC =

$\sqrt{(5-1)^{2}+(-7+2)^{2} } =\sqrt{(4)^{2}+(-5)^{2} } =\sqrt{4^{2}+5^{2} }$

the length of side AC=

$\sqrt{(5-1)^{2} +(-2+2)^{2} } =\sqrt{4^{2} } =4$

now, the easiest one will be when the vertices are on the coordinate axes.

so, option c will be the most appropriate one.

14. If u see the figure clearly, the lines l and FH are parallel.

the parallel postulate, i.e, the alternate interior angles will always be congruent.

here, the alternate interior angles are angle1 and angle4.

therefore to prove this step, he used parallel postulate as a reason.

so, the correct option is "a"

7 0

3 years ago

3(x-4) = 2(-2x + 1)<br>this is confusing me

nata0808 [166]

Answer:

x = 2

Step-by-step explanation:

<em>Distribute</em>

3 (−4) = 2 (−2+1)

3 − 12 = 2 (-2x +1)

<em>Distrubute again</em>

3x - 12 = -4x + 2

<em>Add twelve to both sides of the equation</em>

<em>Simpfly</em>

3x = -4x + 14

<em>Add 4x to both sides of the equation</em>

<em>simpfly</em>

7x = 14

<em>Divide both sides of the equation by the same term</em>

<em>Simpfly</em>

x = 2

5 0

3 years ago

The basketball player Shaquille O'Neal is 7 feet 1 inch tall, which is equivalent to 216 centimeters a nanometer (nm) is a unit

Kamila [148]

Answer:

Shaquille O'Neal's height= 2,160,000,000 nm

= 2.16 × 10^9 nm

Completed question;

The basketball player Shaquille O'Neal is 7 feet 1 inch tall, which is equivalent to 216 centimeters a nanometer (nm) is a unit of measurement that is one-billionth of a meter, convert his height to nanometers.

Step-by-step explanation:

Given;

Shaquille O'Neal's height= 216cm = 216 × 1/100 m = 2.16m

Since, a nanometer (nm) is a unit of measurement that is one-billionth of a meter.

1 m = 1 billion nanometers

So,

2.16m = 2.16 billion nm = 2160000000 nm

Shaquille O'Neal's height= 2160000000 nm

= 2.16 × 10^9 nm

8 0

3 years ago

A room has a rectangular floor that is 15 feet by 21 feet. What is the area of the floor in square yards ?

Soloha48 [4]

Answer:

Hey There!

Let's solve...

Here it is a rectangular floor with length =21 cm and width =15cm

$area = l \times w \\ = 21 \times 15 \\ = 315 {ft}^{2} \\ \\$

So now We need to convert it to yards square

$315ft^{2} \times \frac{ {1yd}^{2} }{ {9ft}^{2} } \\ \\ = \cancel{315ft^{2}} \: ^{35} \times \frac{ {1yd}^{2} }{ \cancel{9 {ft}^{2} }} \\ \\ = 35 {yd}^{2}$

So how this 9 ft^2 came??

Let's know

$ft \to \: yards \\ \\ 3ft = 1yd \\ \\ {3ft}^{2} = {1yd}^{2} \\ \\ \boxed{ {9ft}^{2} = {1yd}^{2}}$

<h2>I hope it is helpful to you...</h2><h3>Cheers!_______</h3>

8 0

2 years ago

Read 2 more answers

What is the slope of a line that is perpendicular to the line y = 8x + 5?

Bond [772]

The options are wrong lol, it is -1/8

8 0

3 years ago