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meriva
3 years ago
6

\div \frac{9}{5} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
jasenka [17]3 years ago
7 0
The answer to your question is 5/9.
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Passing through (2, - 2) and perpendicular to the line whose equation is y= 5x+2
jonny [76]

Step-by-step explanation:

Hey there!!!

Here,

Given, A line passes through point (2,-2) and is perpendicular to the y= 5x+2.

The equation of a straight line passing through point is,

(y - y1) = m1(x - x1)

Now, put all values.

(y  + 2) = m1(x - 2)

It is the 1st equation.

Another equation is;

y = 5x +2........(2nd equation).

Now, Comparing it with y = mx + c, we get;

m2=5

As per the condition of perpendicular lines,

m1×m2= -1

m1 × 5 = -1

Therefore, m2= -1/5.

Keeping the value of m1 in 1st equation.

(y + 2) =  \frac{ - 1}{5} (x - 2)

Simplify them.

5(y + 2) =  - x + 2

5y + 10 =  - x + 2

x + 5y + 8 = 0

Therefore the required equation is x+5y+8= 0.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

7 0
4 years ago
A class of 24 students went on a picnic. They had a choice between having a turkey sandwich or a vegetarian sandwich. Eighteen s
Alekssandra [29.7K]

I believe it is the ratio 3 : 1.

<u>18 students chose the turkey sandwich</u>.

Since the class has a total of 24 students, we can deduce that <u>6 students chose the vegetarian sandwich</u>.

This gives us a ratio of 18 : 6.

When simplified, we get a ratio of 3 : 1.

5 0
4 years ago
The average annual salary of the employees of a company in the year 2005 was $70,000. It increased by the same factor each year
dezoksy [38]
We can make use of the general formula for the geometric series to generate the function representing the average annual salary.
an = a0(r)^(n-1)

Or
f(x) = a0(r)^(x - 1)

Plugging in the given values for the year 2005 and 2006 to ge the value of r.
82000 = 70000 (r)^(1-1)
r = 1.1714

Therefore, the function is:
f(x) = 70,000 (1.1714)^(x-1)
3 0
3 years ago
Read 2 more answers
Which of the following is NOT a guideline to follow when evaluating consumer information? a. Use a reliable and informed source
Dominik [7]
The statement which is NOT a guideline to follow when evaluating consumer information is C. Submit private information regardless of who is asking.
6 0
3 years ago
Read 2 more answers
An art teacher makes a batch of purple paint by mixing 3/4 cup red paint with 3/4 cup of blue paint. If she mikes 13 batches, ho
Pepsi [2]
She will have 19.5 cups of purple paint.
I couldn’t write the explanation of how you get the answer, but look your question up on Brainly and it’ll give you your explanation.

Hope this helped! :)
5 0
3 years ago
Read 2 more answers
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