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
gulaghasi [49]
3 years ago
5

Write an equation for the line that is perpendicular to Y=-3/7x+4 and passes through (-4,-5)

Mathematics
1 answer:
KengaRu [80]3 years ago
4 0

9514 1404 393

Answer:

  y = 7/3x +13/3

Step-by-step explanation:

The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...

  m = -1/(-3/7) = 7/3

The y-intercept of the perpendicular line can be found from ...

  b = y -mx

  b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3

Then the slope-intercept equation of the perpendicular line is ...

  y = mx +b

  y = 7/3x +13/3

_____

<em>Additional comment</em>

You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...

  y -k = m(x -h)

For our perpendicular line, the equation is ...

  y +5 = 7/3(x +4)

You might be interested in
Match the equation with the step needed to solve it.
Harman [31]
1 subtract 1 2m - 1 = 3m 
<span>2 subtract 2 2m = 1 + m </span>
<span>3 subtract m m - 1 = 2 </span>
<span>4 add  2 + m = 3 </span>
<span>5 subtract 2m -2 + m = 1 </span>
<span>6 add 1 3 = 1 + m 
1.5.
2.4
3.1
42
56
63</span>
3 0
3 years ago
64 divided by 13,248
BabaBlast [244]

Answer:

207

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What number has 3 ones, 8 tens, and 5 hundreds?
PtichkaEL [24]

Answer:

C: 583

Step-by-step explanation:

5(100)+8(10)+3(1)

500+80+3= 583

Hope this helps! :)

4 0
3 years ago
36 kg bag of cement was dropped losing one tenth of cement. How much was left in the bag of cement ?
kow [346]

Answer:

32.4kg

Step-by-step explanation:

if it loses one tenth of cement;

36kg×1/10

36kg/10

3.6kg was lost

to find the remaining ; 36kg - 3.6kg = 32.4kg is left in the bag

7 0
3 years ago
Read 2 more answers
The product of a number and -8 gives eight times the sum of that number and 36. Find that number
Viefleur [7K]

Answer:

-18

Step-by-step explanation:

Let x be our number. First we have to write our equation.

The product of a number and -8 is represented as -8x (-8 multiplied by x). Remember that 'product' signifies multiplication.

The result is eight times the sum of x and 36. This is represented as 8(x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.

So our equation is:

-8x = 8(x + 36)

We can now solve for x. First, expand the bracket.

-8x = 8x + 288

Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.

-8x - 8x = 8x + 288 - 8x

-16x = 288

Divide both sides by -16

x = -18

3 0
3 years ago
Other questions:
  • Draw the image of the figure after a rotation of 180° around 0. Can anyone help?
    13·1 answer
  • Which ordered pair (a, b) is the solution to the following system of equations?
    8·1 answer
  • What is the solution to the system? 1. 5 x -4 y -3 z =3, 2. x + y -z =0, 3. x = 3 y + 1? I haven't done this kind of math. I am
    7·1 answer
  • Find the median and mean for each data set.
    14·2 answers
  • -6.42 &lt; or &gt; -12.89 bruh why am i having a hard time with this smh
    10·1 answer
  • A granite monument has a volume of 25,365.4 cm3. The density of granite is 2.7 g/cm3. Use this information to calculate the mass
    6·2 answers
  • Write the equation of the line given the slope and the point that it passes through.
    6·1 answer
  • In the first week of July a record 1120 people went to the local swimming pool in the second week 105 fewer people went to the p
    10·1 answer
  • At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least
    14·1 answer
  • Find the equation of the line passing through the point (-4, 4) and is perpendicular to the line y = 2x - 5.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!