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Over [174]
3 years ago
14

What is an equation of the line that is perpendicular to -x+3y=9 and passes through the point (-3,2)

Mathematics
1 answer:
erastovalidia [21]3 years ago
5 0

Answer:

y=-3x-7

Step-by-step explanation:

the line is currently in standard form (ax+by=c). Let's put it into slope-intercept form (y=mx+b)

-x+3y=9

add x to both sides

3y=x+9

divide by 3

y=1/3x+3

perpendicular lines have slopes that when multiplied, equal -1.

to find the slope (m) of our new line:

1/3m=-1

multiply by 3

m=-3

the slope of the new line is -3

here's our equation so far:

y=-3x+b

we need to find b (y intecept)

since the line passes through the point (-3,2), it should be a solution in the equation (plug it in, and the result is a true statement). We can also use it to find b

so, substitute the pointt into the equation:

2=-3(-3)+b

multiply

2=9+b

subtract

-7=b

so the equation of the line is y=-3x-7

Hope this helps!

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3 0
3 years ago
For the last showing of a movie, a theater sold full-price and discount tickets,the theater sold 130 full-price ticket for a tot
sveta [45]

Answer:

the cost of 1 full price ticket is $9.5

Step-by-step explanation:

For the last showing of a movie, a theater sold full-price and discount tickets,the theater sold 130 full-price ticket for a total of $1235 the total sales both types of tickets were $2395

Let x be the number of full price tickets and y be the number of discount tickets

the theater sold 130 full-price ticket for a total of $1235 the total sales

130 full price tickets sold for $1235

the cost of 1 full price ticket is

\frac{1235}{130}=9.5

the cost of 1 full price ticket is $9.5

4 0
3 years ago
Given: KLMN is a trapezoid m∠K = 90°, m∠N = 45° LK = LM = 10 Find: KN, Area of KLMN
Ilya [14]
Let KLMN be a trapezoid (see added picture). From the point M put down the trapezoid height MP, then quadrilateral KLMP is square and KP=MP=10.
A triangle MPN is right and <span>isosceles, because
</span>m∠N=45^{0}, m∠P=90^{0}, so m∠M=180^{0}-45^{0}-90^{0}=45^{0}.Then PN=MP=10.
The ttapezoid side KN consists of two parts KP and PN, each of them is equal to 10, then KN=20 units.
Area of KLMN is egual to A= \frac{LM+KN}{2} *MP= \frac{10+20}{2} *10=150 sq. units.


5 0
3 years ago
Pls help! ASAP! I will mark Brainliest! If you give me a file or guess I will report you! ​
madam [21]

Answer:

the second and last one

....................

5 0
3 years ago
How many quarters does Annie have <br><br><br> A.35<br><br> B.49<br><br> C.3<br><br> D.7
spayn [35]
Answer: Annie has 49 Quarters

Explanation:
Sarah has 21 more quarters than Annie.
As shown, It says That Sarah has 28 quarters.
So, if Sarah has 21 more, it means you add 21 + 28
Resulting in 49.

Hope this helps you! If available please give me a Branliest. It is much appreciated!

- Mathhotdog •~•
6 0
3 years ago
Read 2 more answers
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