1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fenix001 [56]
3 years ago
13

How to write an equation of the line through the point (-2,1) that is perpendicular to the line 5x+9y=-9

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

Answer:

\large\boxed{y=\dfrac{5}{9}x+\dfrac{19}{9}}

Step-by-step explanation:

\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===================================\\\\\text{We have the equation i the standard form.}\\\text{ Convert it to the slope-intercept form}\ y=mx+b:\\\\5x+9y=-9\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\9y=-5x-9\qquad\text{divide both sides by 9}\\\\y=-\dfrac{5}{9}x-1\to m_1=-\dfrac{5}{9}\\\\m_2=-\dfrac{1}{m_1}\to m_2=-\dfrac{1}{-\frac{5}{9}}=\dfrac{9}{5}

\text{We have the equation:}\\\\y=\dfrac{5}{9}x+b\\\\\text{Put the coordinates of the point (-2, 1) to the equation:}\\\\1=\dfrac{5}{9}(-2)+b\\\\1=-\dfrac{10}{9}+b\qquad\text{add}\ \dfrac{10}{5}\ \text{to both sides}\\\\\dfrac{19}{9}=b\to b=\dfrac{19}{9}

You might be interested in
I need help and please explain to me how you got the answer
maksim [4K]

Answer:

B

Explanation:

7 0
2 years ago
Bob's Bagels sells 7 bagels for $8.00, and Betty's Bagels sells 9 bagels
puteri [66]

Answer:

3 of 4

The better deal will have the higher ratio of dollars per bagel.

To find the better deal, you must compare the fractions<u> 8/7 and 6/9. </u>

Comparng the fractions reveals that <u>Betty</u> has the better deal

Step-by-step explanation:

bobbs bagels: 8/7 equals 1.14, so each bagel would cost about $1.14

bettys bagels: 6/9 equals 0.66, so each bagel would cost about $0.66

$0.66 is better than $1.14 per bagel. therefore, bettys bagels are cheaper

hope this helps :)

7 0
2 years ago
Factor b2 + b – 6.
Ulleksa [173]
The answer is A,(b + 3)(b - 2)
6 0
3 years ago
What is 1.2 called in a division problem?
PSYCHO15rus [73]

Answer:

depends

Step-by-step explanation:

Quotient means the answer

Dividend is the first number that is being divided

Divisor is the number dividing the first number

6 0
2 years ago
Consider the point X at (0,21) and point Y at (88, -103). What is the coordinate of the midpoint of xy
saul85 [17]

Step-by-step explanation:

let M be the midpoint of x and y

xM= (xX+xY)/2 =(0+88)2=44

yM=(Yx+yY)/2=(21_103)/2=_41

M(44,_41)

7 0
3 years ago
Other questions:
  • Trigonometry Identities help please
    9·1 answer
  • There are 9 students at the Math Club picnic . If 5 students are drinking punch and 4 are drinking lemonade , what fraction are
    12·2 answers
  • -2/5 + 1/2 please help guys I really need it
    13·1 answer
  • Find tan(β) in the triangle.
    11·1 answer
  • 9 1/2 yards x 19 1/4 yards
    6·1 answer
  • Hey guys! Please help me out here lol.. <br><br> Question: Simplify: sqrt(n^2) is n&lt;0
    9·2 answers
  • translate the unit 3 units right and 7 units down what will the new coordinate for C be if A(-4,-5) and B(0,1)
    6·2 answers
  • Find the measure of angle x. Please helpp
    15·1 answer
  • Write an equation of line that goes<br> through Points (-1,1) and<br> (0,4)
    12·1 answer
  • When positive integer x is divided by positive integer y, the remainder is 9. If = 96.12, what is the value of y ? 96 75 48 25 1
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!