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musickatia [10]
3 years ago
11

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb

er b varies directly with the number a. For example b = 2 when a = –2. Which equation represents this direct variation between a and b?
Mathematics
2 answers:
stiks02 [169]3 years ago
8 0
Y=kx is the equation for direct variation
Serhud [2]3 years ago
8 0

Answer:

The equation is b = -a

Step-by-step explanation:

Given,

The number b varies directly with the number a,

That is, we can write,

b ∝ a

⇒ b = ka

Where k is the constant of proportionality,

Given, if b = 2 then a = -2,

By substituting the value,

2 = k(-2)

⇒ k = -1

Hence, the equation that represents the direct variation between a and b is,

b = -a

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The sum of 1/9, 2/3, and 5/18is<br><br> A. 8/30.<br> B. 12/9.<br> C. 19/18.<br> D. 4/15.
mafiozo [28]
The least common multiple of 9, 3, and 18 is 18.

Convert 1/9 to 2/18.

Convert 2/3 to 12/18.

Then add the numerators:

2 + 12 + 5 = 19

So the answer is 19/18, or 1 1/18 if you prefer.
8 0
4 years ago
Read 2 more answers
Jabal and Michael are walking to school and agree to leave their homes at the same time.
kirill115 [55]

Answer: 6 seconds

Step-by-step explanation:

Time            Jabal (2.5mps)            Michael (5mps)

Start              15                                   0

1 sec              17.50                              5

2                    20                                  10

3                    22.5                               15

4                    25                                  20

5                    27.5                               25

6                    30                                  30

7

8

9

10

8 0
3 years ago
Read 2 more answers
A zucchini plant in Darnell's garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0
s344n2d4d5 [400]

Answer:

(a) Find out the  a rule to describe the function.

To prove

Let us assume that the days be represted by d .

Let us assume that the height of plant be represted by y.

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

Than the function becomes

y = 12 + 0.5 × d

y = 12 + 0.5d

(b) Find out after how many days will the zucchini plant be 0.195 meter tall .

To prove

Let us assume that the days be represted by d .

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

As

1meter = 100cm

0.195 meter convert into centimeter.

= 19.5cm

Than the equation becomes

12 + 0.5d = 19.5

0.5d = -12 + 19.5

0.5d = 7.5

d = 7.5/10

d = 15 days

Therefore 15 days will the zucchini plant be 0.195 meter tall .

7 0
3 years ago
Turner walked a total of 40 kilometers by making 5 trips to school. How many trips will Turner have to make in all to walk a tot
Pani-rosa [81]

Answer:

6 trips

Step-by-step explanation:

40/5 = 8km per trip. 48/8 = 6 trips

5 0
3 years ago
Are all of them correct???
Brilliant_brown [7]
As far as I can see you have gotten the majority of them right. 

The only one I see, is the last number on the 4th row from the bottom.

     11
   x11
------------
    121     not  132. 

I hope this Helps! :)

4 0
4 years ago
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