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kow [346]
3 years ago
5

100 Points to the person who gets this right

Mathematics
1 answer:
NISA [10]3 years ago
6 0

Answer:

Im confused on what the question is, ill change my answer when i can somehow understand the question

Step-by-step explanation:

Im confused what the question is

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What is the equation of a line that passes through the point (6, 1) and is perpendicular to the line whose equation is y=−2x−6 ?
ladessa [460]

Answer:

y=\frac{1}{2}x-2

Step-by-step explanation:

we are given

Line is perpendicular to y=−2x−6

we can compare it with

y=mx+b

where

m is slope

so, m=-2

so, slope is -2

Our line is perpendicular to this slope

so, slope of our line will be

m'=-\frac{1}{-2}

m'=\frac{1}{2}

now, we are given point as (6,1)

so, x_1=6,y_1=1

now, we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

y-1=\frac{1}{2}(x-6)

now, we can solve for y

and we get

y=\frac{1}{2}x-2


5 0
3 years ago
At a coffee shop, the price of a cup of coffee increased from $1.20 to $1.44. What is the percent increase in the cost of the co
Scorpion4ik [409]
The answer to the question is 20%
7 0
3 years ago
Express the series using sigma notation. 6 + 9 + 12 + 15.<br><br> a<br> b<br> c<br> d
Nadusha1986 [10]

Answer:

Option (d) is correct.

6 + 9 + 12 +15 = \sum_{k=1}^{4}(3k+3)

Step-by-step explanation:

Consider the given series expansion 6 + 9 + 12 +15.

since we have to write in series form of 3.

We first write each term of given series in term of 3k or 3k+3

6 can be written as 3(2) or 3(1)+3

9 can be written as 3(3) or 3(2)+3

12 can be written as 3(4) or 3(3)+3

15 can be written as 3(5) or 3(4)+3

Thus, we can write the given series as ,

\sum_{k=2}^{5}3k or  \sum_{k=1}^{4}(3k+3)

Since, we have options to choose.

From the given option (d) matches our result.

So,  6 + 9 + 12 +15 = \sum_{k=1}^{4}(3k+3)


5 0
3 years ago
Read 2 more answers
A circle with circumference 6 has an arc with a 20 degrees central angle. What is the length of the arc?
Arturiano [62]

Answer:

\frac{1}{3}

Step-by-step explanation:

So first calculate what fraction of the circumference the arc is.

\frac{20}{360}=\frac{1}{18}

Now the circumference is 6, so one eighteenth of that is \frac{1}{3}

8 0
3 years ago
is Justin went shopping for school clothes if the item cost $150 and he received a 10% discount what is the final price of his p
ASHA 777 [7]

Answer:

$135

Step-by-step explanation:

We can answer this by multiplying $150 by (1.00 - 0.10), or by 0.90:

0.90($150) = $135.

Note that 1.00($150) = $150 (full price)

and that 0.10($150) = $15 (discount)

and that (0.90)($150 = $135 (the fastest way to calculate the final (sale) price.

6 0
3 years ago
Read 2 more answers
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