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crimeas [40]
3 years ago
7

Calculate the gradient of (a; b) and (-2a; -2b) where a≠0 and b≠0.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
4 0

Answer:

\frac{b}{a}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (a, b) and (x₂, y₂ ) = (- 2a, - 2b)

m = \frac{-2b-b}{-2a-a} = \frac{-3b}{-3a} = \frac{b}{a}

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The terms in the sequence decrease by the same amount each time:
luda_lava [24]

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

7 0
3 years ago
The length of the rectangle is 3 cm and the width is 5 cm what will the area be?
WINSTONCH [101]

Answer:

15 cm²

Step-by-step explanation:

3(5)=15 cm²

3 0
3 years ago
A hardware store owner is replenishing his stock of base paint for an upcoming home improvement sale. He conducted a survey to d
antiseptic1488 [7]

Solution:

                       Matte Satin    Glossy Total

Homeowners 0.08 0.20 0.24 0.52

Contractors 0.04 0.26 0.18         0.48

Total         0.12         0.46 0.42   1

Approximately what percentage of contractors prefer the glossy finish?

Answer: Percentage of contractors who prefer the glossy finish is:

\frac{0.18}{0.48}=0.375
 or 37.5\%

Therefore, the option D. 37.5% is correct

6 0
3 years ago
Read 2 more answers
Ava has 34 candy bars. If
aliya0001 [1]

\bf Step-by-step~explanation:

If Ava has 34 candy bars, and each box can hold 5 bars, then we need to find out how many boxes that are filled up.

\bf Step~1:

Divide the number of candy bars (34), by the number each box can hold (5)

\bf\frac{34}{5}=6.8

Since we cannot have 6.8 boxes, we have to round down to 6.

\boxed{\bf Our~final~answer:~6~boxes}

\bf Check~our~answer:

To check our answer, we multiply the number of boxes (6), by the number of bars in each box (5), to get 30. We add Ava's extra bars (4), and we get the number we started off with: 34. This proves our answer is correct!

4 0
3 years ago
3÷2.52 what the answer I’m struggling
SOVA2 [1]
3/2.52 is 1.5
In other words it is 1 1/2
3 0
4 years ago
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