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
skad [1K]
3 years ago
9

Which equation represents the line that passes through the point (4, -5) and is perpendicular to the line x + 2y = 5?

Mathematics
1 answer:
Lerok [7]3 years ago
7 0

Answer:

y = 2x - 13

Step-by-step explanation:

Equation of a line is y = mx + c, m is the gradient and c is the intercept

The line passes through points 4 and -5, x is 4 and y is -5

-5 = 4m + c

When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1

x + 2y = 5

2y = -x + 5

y = (-1/2 * x) + 5

therefore m = -1/2

m1 * m2 = -1

m * -1/2 = -1

-m = -2 , therefore m = 2

-5 = 4 * 2 + c

c = -5 - 8, which is -13

Therefore the equation for the line is

y = 2x - 13

You might be interested in
PLEASE HELP ME ASAPPP!!! WORK DUE SOON :(
Dominik [7]

Answer:

 1) The third option.

2) The last option.

Step-by-step explanation:

1) f(x) is greater on the interval (0,3), which is opened, because if  you substitute x=2 you obtain the following result:

f(2)=4\\g(2)=(2)^{2}-6(2)=-8

2) If x=3, you obtain that:

 g(3)=-9\\f(3)=9

Therefore: f(3)>g(3)


4 0
3 years ago
The heights of all the newborns in a certain country are normally distributed,
viva [34]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
1. Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each ba
Pavel [41]

Answer:

Step-by-step explanation:

The relationship between the number of popcorn and drinks is linear relationshipThe responses are;(a) Please find attached the required graph created with MS Excel(b) From the graph, we have that as the number of bags of popcorn Judy buys increases, the number of drinks decreases linearlyReasons:The given parameter are;Amount Judy took with her to spend on popcorn and drinks = $30Price of each bag of popcorn = $5Price of each drink = Half the price of a bag of popcorn∴ The price of each drink = (a)  Let X represent the number of bags of popcorn Judy buys and let Y represent the number of drinks she buys, we have;5·X + 2.5·Y = 302.5·Y = 30 - 5·XWhich gives;Y = 12 - 2·XUsing the above equation, the graph of popcorn and drinks bought by Judy is plotted with MS Excel and attached here(b)  The data in the graph are presented as followsThe point corresponding to the y-intercept is the point that gives the maximum number of drinks Judy can buy if she does not buy popcorn is 12 drinks. The number of drinks she can buy reduces by 2 for each bag of popcorn she buys, such that she can buy 6 bags of popcorn and no drinks which is the x-intercept.

3 0
2 years ago
Read 2 more answers
Nico was stunned when he opened the mail.Here was a check for $332.50 this is the interest he earned on his investment.One year
Mazyrski [523]

Answer:

Investment A = 3650

Investment B = 1350

Step-by-step explanation:

Given that:

Total interest earned = 332.50

Total Principal invested = 5000

Investment A:

Rate = 8%

Time = 1 year

Principal = a

Interest earned = 0.08a

Investment B:

Rate = 3%

Time = 1 year

Principal = b

Interest earned = 0.03b

a + b = 5000 ____(1)

0.08a + 0.03b = 332.50 - - - (2)

From (1)

a = 5000 - b

Into (2)

0.08(5000 - b) + 0.03b = 332.50

400 - 0.08b + 0.03b = 332.50

400 - 0.05b = 332.50

-0.05b = - 67.5

b = $1350

a = 5000 - b

a = 5000 - 1350

a = $3650

7 0
3 years ago
Find the missing side round to the nearest 10th please help
katrin [286]

Step-by-step explanation:

Number 3

cos∅ = adj/hyp

cos35° = 20/x

x = 20/cos35°

x = 20/0.8192

x = 24.4155

x ≈ 24.4 to the nearest tenth

Option C

Number 6

tan∅ = opp/adj

tan37° = 20/x

x = 20/tan37°

x = 20/0.7536

x = 26.5409

x ≈ 26.5 to the nearest tenth

Option B

8 0
2 years ago
Other questions:
  • How many cans of paint are needed to cover an area of 2,200 square units if one can of paint covers an area of 400 square units?
    6·1 answer
  • A number to be multiplied is called a
    7·2 answers
  • Write a linear function f with the values f(10)=5 and f(2)=-3<br><br> PLZ Help
    10·1 answer
  • Jenny is in charge of ordering T-shirts for the math club at her school. If she paid $294 for 21 T-shirts, which of the followin
    14·1 answer
  • WILL MARK BRAINLEIST PLEASE HURRY
    12·2 answers
  • The area of the playground is one and a half times the swimming pool
    15·1 answer
  • Evaluate the expression a + b for a=24 and b=13
    9·2 answers
  • Help plz i will do anything man i need to pass math
    9·2 answers
  • How do I solve this triangle problem!!!​
    5·2 answers
  • Two trains leave towns 1490 kilometers apart at the same time and travel toward each other. One train travels 20 km/h slower tha
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!