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evablogger [386]
3 years ago
6

Hi guys I am new here. Let me introduce myself . Jasmin, 15 years old and in 9th class. Hope I will have a good time in here.​

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0

Answer:

Hope so too

Step-by-step explanation:

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What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)? (1 point) y = 2(x + 2) y = 2(x − 2) y =
Sonja [21]

Answer: y=2(x+2)

Step-by-step explanation:

The slope of the line is

y=\frac{8-0}{2-(-2)}=\frac{8}{4}=2

Using the point (-2, 0) to substitute into point-slope form, we get the equation to be \boxed{y=2(x+2)}

8 0
2 years ago
Find the inequality represented by the graph?
vitfil [10]

Answer:

y > -2/3x + 3

Step-by-step explanation:

Well lets first start with the beginning and look at its features.

<u>                                                           Features                                                          </u>

- Dashed line

- Shaded up

- negative slope

- y intercept at 3

____________________________________________________________

So if the line is dashed with the shade going up that means the inequality starts like this,

y >

We can tell that the y intercept is at 3 because that the point the line touches the y axis.

So we got y > 3,

To find slope we use the following formula,

\frac{y^2-y^1}{x^2-x^1},

So we can use points (0,3) and (3,1).

1 is y2 and 3 is y1 so 1 - 3 = -2

3 - 0 = 3

Slope: -2/3x

<em>Thus,</em>

<em>the inequality is y > -2/3x + 3.</em>

<em />

<em>Hope this helps :)</em>

5 0
3 years ago
What is the fourth term in the binomial expansion (a+b)^6)
Dafna11 [192]

Answer:

20a^3b^3

Step-by-step explanation:

<u>Binomial Series</u>

(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example:  4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3

\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3

\implies \dfrac{6!}{3!3!}a^{3}b^3

\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3

\implies \left(\dfrac{120}{6}\right)a^{3}b^3

\implies 20a^3b^3

7 0
2 years ago
Is 3/7 bigger then 3/5
taurus [48]

Answer:

No they are equivalent

Step-by-step explanation:

3/7 =21/35

3/5=21/35

4 0
3 years ago
Read 2 more answers
Find the volume of a cone with diamter 12 and height 8
NeX [460]

Answer:

Step-by-step explanation:

V = 1/3 * pi * r^2 * h

d = 12

r = d/2

r = 12/2

r = 6

V = 1/3 * 3.14 * 6^2 * 8

V = 301.44

3 0
3 years ago
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