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3 years ago

What number represents the opposite of point E on the number line?

Mathematics

2 answers:

joja [24]3 years ago

7 0

Answer:

positive 2...

Step-by-step explanation:

e is at -2 so the mirror number would be 2

dolphi86 [110]3 years ago

4 0

It’s 2 you basically look at it like a mirror but just take the negative sign away

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stealth61 [152]

Answer:

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Step-by-step explanation:

8 0

3 years ago

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If c varies directly as (r + 1) and c = 8, when r= 3, calculate the value of r when c= 20.

Aneli [31]

Answer:

r = 9

Step-by-step explanation:

Given that c varies directly as (r + 1) then the equation relating them is

c = k(r + 1) ← k is the constant of variation

To find k use the condition c = 8 when r = 3, then

8 = k(3 + 1) = 4k ( divide both sides by 4 )

2 = k

c = 2(r + 1) ← equation of variation

When c = 20, then

20 = 2(r + 1) ← divide both sides by 2

10 = r + 1 ( subtract 1 from both sides )

9 = r

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3 years ago

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What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago

Which equation represents the distance (d) a car travels, in time (t), when driving 65 miles per hour? How far did the car trave

masha68 [24]

Answer:

195 miles

Step-by-step explanation

D = 65 x 3

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3 years ago

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Solve 2x2 + 3x – 7 = x2 + 5x + 39 for x.

Brrunno [24]

The answer to this question is:
x = 1 + or - the square root of 47

6 0

3 years ago