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
Rzqust [24]
3 years ago
11

Write an equation of the line through the point (5, 3) that is perpendicular to the line –3x+7y=5.

Mathematics
2 answers:
Fed [463]3 years ago
6 0

Answer:

7x + 3y = 44

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

Rearrange - 3x + 7y = 5 into this form by adding 3x to both sides

7y = 3x + 5 ( divide all terms by 7 )

y = \frac{3}{7} x + \frac{5}{7} ← in slope- intercept form

with slope m = \frac{3}{7}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{3}{7} } = - \frac{7}{3} , thus

y = - \frac{7}{3} x + c ← is the partial equation

To find c substitute (5, 3) into the partial equation

3 = - \frac{35}{3} + c ⇒ c = 3 + \frac{35}{3} = \frac{44}{3}

y = - \frac{7}{3} x + \frac{44}{3} ← in slope- intercept form

Multiply through by 3

3y = - 7x + 44 ( add 7x to both sides )

7x + 3y = 44 ← in standard form

vredina [299]3 years ago
4 0

Answer:

equation: y = -7/3x + 14 2/3

Step-by-step explanation:

–3x+7y=5

y = 3/7 x + 5

slope of perpendicular line: - 7/3

y = mx + b for (5 , 3)

b = y - mx = 3 - ((-7/3) * 5) = 3 + 35/3 = 44/3 = 14 2/3

equation: y = -7/3x + 14 2/3

You might be interested in
What is X for? x+20=35-4x
Helen [10]
X+4x=35-20. 5x=35-20. 5x=15. X=3
4 0
3 years ago
Read 2 more answers
a soccer ball is kicked into the air, and it’s path can be modeled with a quadratic function. the table shows the time, t, in se
Black_prince [1.1K]

Answer:

f(t)=-2 t(t-5)

-just took the assignment

4 0
3 years ago
Find (fog)(x). f(x) = 2x
Blababa [14]

Answer: (f•g)(x)=​2x²+12x

Step-by-step explanation:

(f•g)(x) is the same as saying f(x)•g(x). Since we have f(x) and g(x), we can just multiply them together.

(f•g)(x)=​2x(x+6)                [distribute by FOIL]

(f•g)(x)=​2x²+12x              

Now, we know that (f•g)(x)=​2x²+12x.

3 0
3 years ago
Multiply.Express your answer in standard form.(3 points)(x² -4x + 3)(-3x²+ 7x –1)
bija089 [108]

Answer:

-3x^{4} + 19x^{3} - 38x^{2} + 25x - 3

Step-by-step explanation:

1) distribute x² into (-3x² + 7x - 1) to get: -3x^{4} + 7x³ - x²

2) distribute -4x into (-3x² + 7x - 1) to get: 12x³ - 28x + 4x

3) distribute 3 into (-3x² + 7x - 1) to get: -9x² + 21x - 3

4) combine all the answers together into one equation:

-3x^{4} + 7x³ - x² + 12x³ - 28x² + 4x - 9x² + 21x - 3

5) combine like terms:

7x³ + 12x³ = 19x³

-x² + -28x² + -9x² = -38x²

4x + 21x = 25x

6) combine answers together into one equation:

-3x^{4} + 19x³ - 38x² + 25x - 3

3 0
3 years ago
Use benchmarks to estimate 16.8-5.94
Sunny_sXe [5.5K]
The estimated answer is 11. First you round 16.8 to 17 because the decimal is above 5. Then you round 5.94 to 6 because the first decimal place is greater than 5. Lastly you subtract 17 minus 5 to get 11.
7 0
3 years ago
Other questions:
  • How to find the slope of a parabola at a given point?
    5·1 answer
  • Can you please help me !
    9·1 answer
  • How many solutions does 5-2x=4-2x+4+x
    14·2 answers
  • PLZ HELP I ONLY HAVE 11 points left and I need help with this question plz :( It's URGENT
    10·1 answer
  • Kelly has 4 dimes and some nickels. The total value of her coins is $2.25 write an equation for this
    5·1 answer
  • If 3x + 3 = -9, then what is 3x + 5 equivalent to?
    8·1 answer
  • Sally goes out to lunch and has the option
    9·1 answer
  • 24 - x = -16 SHOW ALL WORK
    15·1 answer
  • Algebra 2 please help me out
    15·1 answer
  • Houa bought 11 chicken wings for $23.10 . How much does each wing cost
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!