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
IrinaVladis [17]
3 years ago
5

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Check al

l that apply. y = –2/5x – 2 2x + 5y = −10 2x − 5y = −10 y + 4 = –2/5(x – 5) y – 4 =5/2 (x + 5)
Mathematics
2 answers:
Alla [95]3 years ago
8 0

Let's rewrite each equation in the Slope-Intercept Form of the Equation of a Line. First, let's start with the main equation:


\bullet \ 5x-2y=-6 \therefore y=\frac{5}{2}x+3


Then, our options are the following:

A) \ y = -\frac{2}{5}x-2 \\ \\ B) \ 2x+5y=-10 \therefore y=-\frac{2}{5}x-2 \\ \\ C) \ 2x-5y=-10 \therefore y=\frac{2}{5}x+2 \\ \\ D) \ y+4=-\frac{2}{5}(x-5) \therefore y=-\frac{2}{5}x-2 \\ \\ E) \ y-4=\frac{5}{2}(x + 5) \therefore y=\frac{5}{2}x+\frac{33}{2}


For two perpendicular lines it is true that the product of its slopes is:

m_{1}m_{2}=-1


m_{1}m_{2}=-1 \\ \\ m_{1} \ is \ the \ slope \ of \ y=\frac{5}{2}x+3, \ that \ is, \ m_{1}=\frac{5}{2} \\ \\ Then, \ the \ slope \ of \ a \ perpendicular \ line \ is: \\ \\ m_{2}=-\frac{2}{5}


According to this, only A) B) and D) might be the perpendicular lines we are looking for. Notice that these lines are the same. The other condition is that the line must pass through the point (5, -4). By substituting this point in the equation, we have:

y = -\frac{2}{5}x-2 \\ \\ -4=-\frac{2}{5}(5)-2 \\ \\ -4=-2-2 \\ \\ \boxed{-4=-4} \ True!


Finally, the right answer are:

A) \ y = -\frac{2}{5}x-2 \\ \\ B) \ 2x+5y=-10 \\ \\ D) \ y+4=-\frac{2}{5}(x-5)

devlian [24]3 years ago
3 0

The perpendicular equation is y = -2/5x - 2

You can find this by first realizing that perpendicular lines have opposite and reciprocal slopes. So since it starts at 5/2 we flip it and make it a negative and the new slope is -2/5. Now we can use that and the point to get the y intercept using slope intercept form.

y = mx + b

-4 = (-2/5)(5) + b

-4 = -2 + b

-2 = b

And now we can use our new slope and new intercept to model the equation.

y = -2/5x - 2

This equation is also equal to 2x + 5y = -10 and y + 4 = -2/5(x - 5)

You might be interested in
HELP ASAP!!
Alona [7]

Answer:

The answer is C) - |x - 2| + 3 = 0

Step-by-step explanation:

a) - |x - 2| + 3 > 0

The greater than means something above the graph.

b) - |x - 2| + 3 < 0

The less than means something below the graph.

c) - |x - 2| + 3 = 0

The zero doesn't do anything.

y = - a |x - h| + k = 0

(h,k) is the origin.

h is shift left/right, h = 2 so shift right 2.

k is shift up/down, k = 3 so shift up 3.

The a, affects the y-values which cause the graph to reflect across the x-axis.

6 0
2 years ago
2/3 multiplied by what equals 3/4
Serga [27]
9/8 is your answer i believe
4 0
3 years ago
Maya is the manager for the track team. She created a table to compare finish times from the second practice to the first
Oksi-84 [34.3K]

Answer:

Runners that decrease times are not improving

Step-by-step explanation:

4 0
3 years ago
Please help me, i will give you brainliest
kifflom [539]

Answer:

52°i think

Step-by-step explanation:

148°-96°=52°

5 0
3 years ago
What is 4/3 times 3/7=?
Sidana [21]
The answer is 4/7 in simplest form
3 0
3 years ago
Other questions:
  • What is the algebraic expression for <br> “Two less than the product of four and a number”
    8·2 answers
  • Two students are to be selected at random from a class with 10 girls and 12 boys. what is the probability that both will be girl
    14·1 answer
  • in a class of 30 students on average 6 will be left-handed if a class includes 27 Lefty's estimate how many students are in the
    12·1 answer
  • During the summer, Tyler delivers packages and Miranda cares for animals on a farm. To show their earnings, Tyler makes a graph
    7·1 answer
  • Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
    12·2 answers
  • The table below represents a linear function f(x) and the equation represents a function g(x):
    6·1 answer
  • PLEASE HELP
    11·1 answer
  • The formula for the circumference of a circle is C = 2xr. If the circumference is
    13·1 answer
  • HELP MEEEeeeeeEEEEEEEEEEE
    10·2 answers
  • A tortoise makes a journey in two parts; it can either walk at 4cm/s or crawl at 3cm/s.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!