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
Lady_Fox [76]
3 years ago
11

Write the equation of a line that is perpendicular to y=-2x/7+9 and that passes through the point (4,−6)

Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0

Answer:

  y = (7/2)x -20

Step-by-step explanation:

The given line is in slope-intercept form, so you can read its slope from the equation.

  y = mx + b . . . . . m is the slope; b is the y-intercept

  y = -(2/7)x + 9 . . . . . . has slope -2/7

The perpendicular line will have a slope that is the negative reciprocal of this, so will be ...

  m = -1/(-2/7) = 7/2

We can use this and the given point to write the equation in point-slope form.

  y = m(x -h) +k . . . . . . line with slope m through point (h, k)

We have m = 7/2, (h, k) = (4, -6) so the equation is ...

  y = (7/2)(x -4) -6

  y = (7/2)x -20

You might be interested in
Find the y-intercept of each exponential function and order the functions from least to greatest y-intercept.
kvv77 [185]

Answer:

Keep the exact order that is shown

Step-by-step explanation:

The first exponential already has a point at (1, -2) which means the y-intercept would be less than -2, which is the lowest among the three


The second has a y-int at -2

Third has y-int at 2

4 0
2 years ago
The population of California is approximately 38,040,000. The population of Texas is about 2.606 × 107. What is the approximate
liubo4ka [24]

Answer:

The total population of these two states is:

3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41

Therefore, option C is correct.

Step-by-step explanation:

  • The population of California is approximately 38,040,000.
  • The population of Texas is about 2.606 × 10⁷.

Writing the population of California i.e.38,040,000  in scientific notation by moving the decimal point 7 places to the left and dropping the 0's on the right  side as they're after the decimal point now.

i.e.

38,040,000 = 3.804 x 10⁷

So adding 3.804 x 10⁷ and 2.606 × 10⁷

i.e.

3.804\times \:10^7+2.606\times \:10^7

\mathrm{Add\:similar\:elements:}\:10^7\times \:3.804+10^7\times \:2.606=10^7\times \:6.41

Thus, the total population of these two states is:

3.804\times \:\:10^7+2.606\times \:\:10^7\:=10^7\times \:\:6.41

Therefore, option C is correct.

4 0
3 years ago
1/2 X plus X -15+1/2 X +100+ X -25 equals 540
Andrew [12]

Answer:

1/2 X + X -15 + 1/2 X + 100 + X -25 = 540

1/2x + x + 1/2x + x -15 + 100 -25 = 540

3 x + 60 = 540

3x + 60 - 60 = 540 - 60

3/3x = 480/3

x = 160

Step-by-step explanation:

1/2 X + X -15 + 1/2 X + 100 + X -25 = 540

1/2x + x + 1/2x + x -15 + 100 -25 = 540

3 x + 60 = 540

3x + 60 - 60 = 540 - 60

3/3x = 480/3

x = 160

7 0
3 years ago
A sweater was on sale at 40% off the regular price. Ella saved 20$ by buying the sweater on sale. What was the regular price of
barxatty [35]

Answer:

the answer is $50 for the full price of the sweater

Step-by-step explanation:

if you know $20 is 40% what is 20% it is $10 and then multiple it by 5 because  20 times 5 is 100 and you get 50

8 0
3 years ago
Find the missing segment in the image below
Talja [164]
The missing segment is 25
5 0
3 years ago
Read 2 more answers
Other questions:
  • Vincent van Gogh is making one-color versions of all his paintings. He uses colors in the following order from the beginning: re
    14·2 answers
  • Jaclyn used the slope formula to find the slope of the line through the points given in the table.
    10·2 answers
  • Which has a larger value: 4 x 10^2 or 7 x 10^4?
    12·2 answers
  • there are 12 inches in one foot which expression can be used to find the number of inches in 2.5 feet?
    8·2 answers
  • Use the distributive property to find an expression equivalent to 6(s -7) -5 (4 - t)
    10·1 answer
  • The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total ticket sales were $10
    6·1 answer
  • Help please with his if you don't mind!!!!!
    8·1 answer
  • Can anyone do my khan academy for me
    10·2 answers
  • Plz can u help me with this ill give brainilst and can u tell me how to do it step by step thxx ❤️❤️
    12·2 answers
  • Helllppppp NOOWWW!!!!!!! <br> PLZ
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!