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
topjm [15]
3 years ago
12

write the equation of the line that is parallel to y = 4x -7 and passes through the point (-2, -5). show your work.​

Mathematics
1 answer:
natita [175]3 years ago
7 0

Answer:

y = 4x + 3

Step-by-step explanation:

To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.

When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.

So far, the equation is y = 4x + b.

Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.

This would be:

-5 = 4 * -2 + b

-5 = -8 + b

3 = b

This means the equation is y = 4x + 3.

You might be interested in
When a number is decreased by 47%, the result is 20. What is the original number to the nearest tenth?
Naily [24]

Answer:

37.7

Step-by-step explanation:

n - 0.47n = 20

0.53n = 20

n = 37.7

4 0
3 years ago
Emma knows that 1/2 gallon is about three liters. she needs 12 1/2 gallons of punch for her party. about how many liters of punc
STatiana [176]
I got C.75 liters.

Good luck!
6 0
3 years ago
A class has 6 boys and 15 girls. What is the ratio of boys to girls
Over [174]
The answer is 6:15, but if u need to simplify the answer would be 2:5.
4 0
2 years ago
Read 2 more answers
PLEASE HELP I WILL GIVE A LOT OF POINTS!
vazorg [7]

9514 1404 393

Answer:

  (2.27, 0.96)

Step-by-step explanation:

The orthocenter is the point of intersection of altitudes of the triangle. The equation for an altitude is the equation of a line through a vertex that is perpendicular to the opposite side.

For example, the line perpendicular to side AC can be found as ...

  (∆x, ∆y) = C-A = (3, -1) -(-4, 2) = (7, -3)

  ∆x(x -h) +∆y(y -k) = 0 . . . . perpendicular through point (h, k)

For side AC, we want the point to be B(4, 5), so the equation is ...

  7(x -4) -3(y -5) = 0

  7x -3y -13 = 0

Similarly, the altitude to side AB can be written as ...

  (∆x, ∆y) = B -A = (4, 5) -(-4, 2) = (8, 3)

  8(x -3) +3(y +1) = 0

  8x +3y -21 = 0

__

By the "cross multiplication method", the solution to these equations is ...

  x = (-3(-21) -(3(-13))/(7(3) -8(-3)) = (63+39)/(21+24) = 102/45 = 2 4/15 ≈ 2.27

  y = (-13(8) -(-21)(7))/45 = 43/45 ≈ 0.96

The orthocenter is near (2.27, 0.96).

__

A graphing application confirms this result.

_____

<em>Additional information about the cross multiplication method</em>

For the general form equations ...

  • ax +by +c = 0
  • dx +ey +g = 0

The "cross multiplication method" has you write the array ...

  \begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}

and form the "cross products" in groups of four coefficients:

  D = ae -db, X = bg -ec, Y = cd -ga

Then the solution to the set of equations is ...

  1/D = x/X = y/Y   ⇒   x = X/D, y = Y/D

__

<em>Additional note</em>

Videos of this method show you writing the array as bcab/egde and using the final equation x/X=y/Y=1/D. The above gets the same result in a more straightforward manner.

3 0
2 years ago
What words math with 24 - (6+3)
inessss [21]

Answer:

15

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • |p|&lt;1.3? how do I find this?
    11·2 answers
  • Our math team had m students last year, but this year it has already n students! By what percent did the number of students grow
    14·1 answer
  • Peter can run 10 kilometers in 2 hours at a steady rate how long will it take him to run 30 kilometers
    7·2 answers
  • Some one please help!
    7·1 answer
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO
    14·2 answers
  • We can think of 3 / 1/4 as the answer to the question "How many groups of 1/4 are in 3?". How many groups of 1/4 are in 3?
    13·1 answer
  • Assuming that Samir is equally likely to hit each of the 10 targets, what is the probability that he will miss at least one of t
    12·1 answer
  • The area of the kite is 30 m2. What is the value of x? Explain
    13·1 answer
  • Understanding Distance Units
    10·1 answer
  • Please help the assignment is due today
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!