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
AnnyKZ [126]
3 years ago
15

the line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Answer:

y = -x/2 + 1

Step-by-step explanation:

Step 1: find the slope

2x - y - 7 = 0

2x - 7 = y

y = 2x - 7

Equation of a line is y = mx + c

m = slope

m = 2

Note: if two lines are perpendicular to the other, both lines are negative reciprocal of each other

Therefore m = -1/2

Step 2: using a point slope form

y - y1 = m( x - x1)

( 4 , -1)

x = 4

y = -1

y - (-1) = -1/2(x - 4)

y + 1 = -1/2(x - 4)

Open the bracket

y + 1 = -x + 4 / 2

y = (-x + 4) / 2 - 1

LCM = 2

y = -x + 4 - 2 / 2

y = (-x + 2)/2

Separate the two, so as to get the slope and the intercept

y = -x/2 + 2/2

y = -x/2 + 1

The equation of the line is

y = -x/2 + 1

You might be interested in
PLEASE I NEED HELP! THANK YOU.
Elden [556K]

First set up a linear equation  and using the x and y values in the table see if it solves.

It doesn't solve so we know it isn't linear. ( I won't show all those steps because they aren't needed.)

Using the quadratic formula y = ax^2 +bx +c

Build a set of 3 equations from the table:

C is the Y intercept ( when X is 0), this is shown in the table as 6

Now we have y = ax^2 + bx + 6

-2.4 =4a-2b +6

1.4 = a-b +6

Rewrite the equations

a=b/2 -2.1

1.4 = b/2-2.1 +6

b = 5

a = 5/2 -2.1 = 0.4

replace the letters to get y = 0.4x^2 + 5x +6

4 0
3 years ago
ABCD is a rhombus. If m<1=122, then what is the measure of <2 and <3
Svetach [21]
M < 2 will be 180 - 122 =  58 degrees

< 3 is opposite < 1 so it will be = 122 degrees
4 0
3 years ago
In Diagram 6, JCK is a tangent to the circle ABC
Igoryamba

Answer:

C

Step-by-step explanation:

if you don't know it choose C

5 0
2 years ago
Jason has 5 shirts for every 2 pairs of pants. His brother John has 7 shirts for every 3 pairs of pants. Compare the ratio by co
postnew [5]

Answer:

john has a greater ratio of shirts to pants

Step-by-step explanation:

jason- 5:2

table:

shirt :5 10 15 20 25 30 35 40 45

pants:2 4   6   8   10 12  14 16 18 20

john-7:3

table:

shirts:7 14 21 28 35 42 49 56 63

pants:3  6 9 1 2  15  18  21 24  27

4 0
2 years ago
What is the distance between the points?! round to the nearest tenth i need to show work
Contact [7]

Answer:

8.6

Step-by-step explanation:

To find the distance between two points we use the formula posted below

All we need to do is figure out what the points are on the graph and plug them into the formula... we end up with

the square root of (5-(-2)^2+(2-(-3)^2 and get the answer of 8.602325267

then we round to the nearest tenth and get 8.6

5 0
3 years ago
Other questions:
  • One third of a birds eggs hatched if 2 eggs hatched, how many eggs did the bird lay.
    15·1 answer
  • My mum was 27 when I was born. 8 years ago she was twice as old as I shall be in 5 years time. How old am I now?
    9·1 answer
  • Aviva wrote 8 poems during a creative writing class. Karim wrote 4 times as many poems as Aviva. Which operation would be best t
    13·1 answer
  • Pleeeease help me do this assignment it would mean a lot! Thanks
    14·1 answer
  • Easy way for a 2nd graders to learn marh
    13·2 answers
  • How do u show 20720 in scientific notation
    8·1 answer
  • The probability that Barry Bonds hits a home run on any given at-bat is 0.16, and each at-bat is independent.
    14·1 answer
  • The product of a number n and 2 is 2. 50 POINTS
    12·1 answer
  • On average, Seattle gets 38 inches of rain each year. How many centimeters of rain do they get each year?
    15·1 answer
  • First answer = brainliest
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!