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3 years ago

The terms in the sequence decrease by the same amount each time:

Mathematics

1 answer:

luda_lava [24]3 years ago

7 0

Answer:the nth term of the sequence, Tn= -3n +12

Step-by-step explanation:

The nth term of an arithmetic progression is given as

Tn= a+ (n-1) d

where a= first term

and d = common difference

In this sequence, 9, 6 ,3 ,0, -3, -6 we can see that the number is decreasing by 3

The first term, a= 9

and common difference, d = -3

using our formulae

Tn= a+ (n-1) d

Tn= 9 + ( n-1) -3

Tn=9- 3n+ 3

Tn= -3n +12

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ivanzaharov [21]

Answer:

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8 0

3 years ago

In a housing estate the direct proportion of flats to houses is 2:5. If there are 80 flats, how many houses are there?

Kobotan [32]

$80 \div 2 = 40 \\ 40 \times 5 = 200$
there are 200 houses

4 0

3 years ago

Enter an inequality that represents the graph in the box.

ANTONII [103]

The inequality that represents the graph in the box is

$y>-3x+6$

Given :

The graph of the linear inequality

Lets pick two points from the graph to frame the linear equation

Slope intercept form of the equation is

$y=mx+b$

Where m is the slope and b is the y intercept

y intercept is (0,6) from the graph

so b=6

Now we find out slope m using formula

Pick two points (0,6) and (2,0)

$slope = \frac{y_2-y_1}{x_2-x_1} \\m=\frac{0-6}{2-0} =-3$

m=-3

So the equation is $y=-3x+6$

Now we check the inequality sign by testing any point on shaded area

lets pick (4,0)

lets plug in 4 for x and 0 for y

$y=-3x+6\\0=-3(4)+6\\\\0=-6\\0>-6$

The inequality for the given graph is

$y>-3x+6$

we cannot use >= sign because we have dotted lines

Learn more : brainly.com/question/17203372

5 0

3 years ago

Plz help and show work. If you show work I will make you brainiest.

topjm [15]

I believe it would be 71 degrees because the total degrees of a triangle is 180 so 57+52=109 then 180-109=71 which would then be the final angle degree.
Hope I helped

5 0

3 years ago

Define isometric angle

Alex17521 [72]

Answer:

it's just a angle that is 3D

Step-by-step explanation:

6 0

3 years ago