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Allisa [31]
3 years ago
13

What is the equation of the line that is perpendicular to the line y= 3/5x+10 and passes through the point (15,5)?

Mathematics
1 answer:
adelina 88 [10]3 years ago
3 0

Answer:

Step-by-step explanation:

This is really super super simple as long as you know the rules for finding a perpedicular slope from a given line. The perpendicular slope of a line is the opposite reciprocal of the given slope. Our given slope is 3/5, therefore, the perpendicular slope is -5/3. There's only one line with that exact slope, so the choice is the last one. (BTW, check the coordinate you gave. It should be

(15, -5), not (15, 5)!)

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Elimination_4x_2y=14<br> _10x+7y=_24
Gnesinka [82]

Answer:

The answer is x=-\frac{50}{8}  and y=\frac{11}{2}.

Step-by-step explanation:

Given:

-4x-2y=14

-10x+7y=-24

Now, to solve it by elimination:

-4x-2y=14   ......(1)

-10x+7y=-24 ......(2)

So, we multiply the equation (1) by 7 we get:

-28x-14y=98

And, we multiply the equation (2) by 2 we get:

-20x+14y=-48

Now, adding both the new equations:

-28x-14y+(-20x+14y)=98+(-48)

-28x-14y-20x+14y=98-48

-28x-20x-14y+14y=50

-8x=50

<em>Dividing both the sides by -8 we get:</em>

x=-\frac{50}{8}

Now, putting the value of x in equation (1):

-4x-2y=14

-4(-\frac{50}{8})-2y=14

\frac{200}{8} -2y=14

25-2y=14

<em>Subtracting both sides by 25 we get:</em>

-2y=-11

<em>Dividing both sides by -2 we get:</em>

y=\frac{11}{2}

Therefore, the answer is x=-\frac{50}{8}  and y=\frac{11}{2}.

5 0
3 years ago
Which expression is equivalent to 24^1/3
kenny6666 [7]
Second is right answer
3 0
3 years ago
Read 2 more answers
Briony invests some money. Interest is paid on the money at a rate of 2% per annum for the first year and 1% per annum for the s
nalin [4]

Answer:

Brionny invested £8400.

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.

First year:

Amount of 2% interest, during 1 year.

So the interest earned is:

E = P*I*t = P*0.02*1 = 0.02P

The total amount at the end of the first year is:

T = E + P = 0.02P + P = 1.02P

Second year:

We have that:

P = 1.02P

The interest earned is of:

E = P*I*t = 1.02P*0.01*1 = 0.0102P

The total amount is:

T = E + P = 0.0102P + 1.02P = 1.0302P

After two years, the investment is worth £8653.68 How much did Briony invest?

So

1.0302P = 8653.68

P = \frac{8653.68}{1.0302}

P = 8400

Brionny invested £8400.

3 0
3 years ago
It costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cos
Natali [406]
I think the sandwich should sell for $7.56. 
5 0
3 years ago
Read 2 more answers
I have a question here. ​
taurus [48]

9514 1404 393

Answer:

  P(F|A) = 35%

Step-by-step explanation:

P(F|A) = P(F&A)/P(A) = 7%/20% = 0.35

P(F|A) = 35%

_____

The given numbers will let you fill in a table for all of the categories of workers. However, it turns out this question can be answered using only the numbers given in the problem statement.

6 0
2 years ago
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