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3 years ago

What is the explicit formula for this situation?

Mathematics

1 answer:

emmasim [6.3K]3 years ago

3 0

Answer:

Step-by-step explanation:

i did it with eliminating choices

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Find the value of k if the distance between (2,k) and (6,7) is 4√2 unit

andreyandreev [35.5K]

Answer:

k = 3

Step-by-step explanation:

We have the distance formula: $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . We can plug in $4\sqrt{2}$ = d, x2 = 6, x1=2, y2 = 7, y1 = k.

Then, we can solve the question using some algebra to find that k = 3.

Edit: Here is a step by step:

$4\sqrt{2} = \sqrt{(6-2)^2 + (7-k)^2}\\$

$(4\sqrt{2})^2 = (6-2)^2 + (7-k)^2$

$32 = (4)^2 + (7-k)^2$

$32 = 16 + (7-k)^2$

$32 - 16 = (7-k)^2$

$16 = (7-k)^2$

$\sqrt{16} = (7-k)$

$4 = 7-k$

$k = 3$

4 0

3 years ago

The fraction 4/5 is equivalent to 0.8 and 80%. How do I write 0.8 and 80% as unreduced fractions?

kolezko [41]

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

Hello!

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

❖ You can write 0.8 as 8/10 and 80% as 80/100.

(8/10 and 8/100 are equivalent.)

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

4 0

3 years ago

They intersect at the point (p, q).<br> Which is greater, c or d? Explain how you know.

Natasha2012 [34]

Answer:

d is greater than c, since at $x = 0, g(x) > f(x)$

Step-by-step explanation:

We are given two exponential functions, f and g.

Since f has the higher base(3 instead of 2 in g), it increases faster, so initially, g is greater than f, and after point (p,q), f is greater than g.

The values of c and d are found when $x = 0$ . At this point, we have that g is greater than f, so d is greater than c.

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2 years ago

hanna buys 3 packs of 36 exposure film and 2 packs of 24 exposure film. she uses 8 rolls of film. how many rolls does she have l

RSB [31]

To solve this problem, first we have to figure out how many total rolls Hanna buys.

3 packs*36 rolls in each pack = 108 total rolls
2 packs*24 rolls in each pack = 48 total rolls

108 rolls + 48 rolls = 156 rolls.

Next, it says that Hanna uses 8 rolls of film. To model this in our expression, we need to subtract 8 rolls from our total amount.

156-8 = 146 rolls

Hanna has 146 rolls left.

7 0

3 years ago

Read 2 more answers

What is the probability of rolling an odd number on one roll of dice

Tresset [83]

Answer: 1/2 or 50%

Step-by-step explanation: To find out what is the probability of rolling an odd number on a dice, we first need to understand what probability is. Probability is the likelihood that an event will happen. We can find the probability of an event using a ratio. Notice that in this problem, we are asked to find the probability of spinning an odd number. This means that the odd numbers will be a favorable outcome.

Image is provided.

7 0

3 years ago