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3 years ago

Write the equation of the given line in slope intercept form (2,3) (8,6)

Mathematics

1 answer:

Dominik [7]3 years ago

7 0

Answer:

y = 1/2x + 2

Step-by-step explanation:

slope:

6 - 3 / 8 - 2 = 3 / 6 = 1/2

start by putting it in point slope form and then simplify it to slope intercept form:

y - 3 = 1/2(x - 2)

y - 3 = 1/2x - 1

y = 1/2x + 2

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What is the volume of a hemisphere that

ch4aika [34]

<u>Given</u>:

Given that the diameter of the hemisphere is 12.6 cm

The radius of the hemisphere is given by

$r=\frac{d}{2}=\frac{12.6}{2}=6.3$

We need to determine the volume of the hemisphere.

<u>Volume of the hemisphere:</u>

Let us determine the volume of the hemisphere.

The volume of the hemisphere can be determined using the formula,

$V=\frac{2}{3} \pi r^3$

Substituting the values, r = 6.3 and π = 3.14, we have;

$V=\frac{2}{3} (3.14)(6.3)^3$

Simplifying the values, we have;

$V=\frac{2}{3} (3.14)(250.047)$

$V=\frac{1570.29516}{3}$

Dividing, we have;

$V=523.43172$

Rounding off to the nearest tenth, we get;

$V=523.4$

Thus, the volume of the hemisphere is 523.5 cm³

6 0

2 years ago

Trina's teacher asked her to explain the division problem 48 ÷ 12. Which choice gives the correct explanation?

miskamm [114]

B.) 48 has to be broken up into 12 to get 4

6 0

3 years ago

Read 2 more answers

The Powerball lottery is decided every Wednesday and Saturday night by drawing five white balls out of a drum with 69 balls and

Doss [256]

Answer: a) 11,238,513 and b) 292,201,338

Step-by-step explanation:

Since we have given that

Number of white balls = 69

Number of white balls drawn = 5

Number of red balls = 26

Number of red balls drawn = 1

According to question, The Powerball jackpot is won by matching all five white balls in any order and the red Powerball.

So, a) Possible different ways of Powerball tickets can be purchased is given by

$^{69}C_5\\\\=11,238,513$

And

b) Number of possible ways of different winning Poweball tickets are there would be

$26\times ^[69}C_5\\\\=292,201,338$

Hence, a) 11,238,513 and b) 292,201,338

7 0

2 years ago

Please if you do both I will give brainiest (to the first one to answer)

Firlakuza [10]

Answer:

X is rational

y=irrational

y is greater

Step-by-step explanation:

-3.4 can be written as-34/10

8 0

2 years ago

Read 2 more answers

Any help towards finding out Part B and C would be greatly appreciated!

Alika [10]

Part B: I think the relation that has the greater value when x=6 is f(x) = 7x - 15 because:

7(6) - 15 = 27 which is greater than the output of 14.

Part C: the value of x would be 3 because:

f(x) = 7x - 15
6 = 7x - 15
+ 15 +15
21 = 7x
3 = x

Sorry if any of this is wrong.

6 0

3 years ago