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
Katarina [22]
3 years ago
6

What’s the line contains the point (-5,7) and is perpendicular to a line with a slope of 5/3

Mathematics
2 answers:
inysia [295]3 years ago
7 0
Slope. perp. -3/5

y - 7 = -3/5(x + 5)

y - 7 = -3/5x - 3

y = -3/5x + 4
11Alexandr11 [23.1K]3 years ago
5 0

Answer:

\large\boxed{y=-\dfrac{3}{5}+4}

Step-by-step explanation:

\text{Let}\ k:y=m_1x+b_1,\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\===========================\\\\\text{We have}\ m_1=\dfrac{5}{3},\ \text{therefore}\ m_2=-\dfrac{1}{\frac{5}{3}}=-\dfrac{3}{5}.\\\\l:y=-\dfrac{3}{5}x+b\\\\\text{Put the coordinates of the point (-5, 7) to the equation of a line }\ l:\\\\7=-\dfrac{3}{5}(-5)+b\\\\7=3+b\qquad\text{subtract 3 from both sides}\\\\4=b\to b=4\\\\\text{Fimally we have the equation:}\\\\l:y=-\dfrac{3}{5}+4

You might be interested in
If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar because of the _____.
OlgaM077 [116]
B.) If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar because of the "<span>ASA Similarity Postulate"

Hope this helps!</span>
4 0
3 years ago
Read 2 more answers
I need help With what the answer is
Marina CMI [18]

Answer:

OPTION C: y = 2x² + 1

Step-by-step explanation:

To identify the function substitute the values of 'x' and 'y' and compare LHS and RHS.

OPTION A: y = -(5x + 1)

When x = -2, y = 9

Therefore, LHS = 9

RHS = -(5(-2) + 1) = -(-10 + 1) = 9

So, LHS = RHS.

Now, we check for the second pair. i.e., (x, y) = (-1, 3)

LHS = 3

RHS = -(-5 + 1) = -(-4) = 4

LHS $ \ne $ RHS

So, this option is eliminated.

OPTION B: y = - 4x + 1

Like OPTION A, substitute x = -2 and y = 9.

LHS = 9

RHS = - 4(-2) + 1 = 9

LHS = RHS

Now for the second pair: (-1, 3)

LHS = 3

RHS = -4(-1) + 1 = 4 + 1 = 5

We see LHS $ \ne $ RHS.

So, this option is eliminated as well.

OPTION C: y = 2x² + 1

Substituting the first pair: (-2, 9)

LHS = 9

RHS = 2(4) + 1 = 9

So, LHS = RHS

Now For the second pair: (-1, 3)

We have LHS = 3

RHS = 2(1) + 1 = 3

LHS = RHS.

The third pair: (0, 1)

LHS = 1

RHS = 2(0) + 1 = 1

For the pair: (1, 3)

LHS = 3

RHS = 2(1) + 1 = 3

Again, LHS = RHS

For the pair: (2, 9)

LHS = 9

RHS = 2(4) + 1 = 9

Since, for all the pairs we have LHS and RHS equal, we con conclude that this is the correct representation of our function.

Similarly, substitute OPTION D. The option can be eliminated in the second pair itself.

So, the answer is OPTION C.

7 0
3 years ago
A ceiling 6 feet by 7 feet can be painted for $52. find the cost of painting a ceiling 18 feet by 21 feet, all things being equa
kykrilka [37]
6 feet * 7 feet = 42 feet²

18 feet * 21 feet = 378 feet²

42 feet²  was painted for $52

1 feet²  will be painted for $52/42

378 feet² will then be painted for:  ($52/42) * 378

                                                       = $468

Hence 18 feet by 21 feet will be painted for $468

Hope this helps.
5 0
3 years ago
Write an expression (4x-2)*6(2x+7) in the standard form of a quadratic expression, ax^2+bx+c. What are the values of the coeffic
-BARSIC- [3]

Answer:

a=48

b=-192

c=84


Step-by-step explanation:

figure it out yourself :3 jk Idrk


3 0
3 years ago
Read 2 more answers
7•w=w•6 what property
aev [14]
That equation displays the properties of inaccuracy, mendacity, and falsehood. It is an untrue statement, and the only value of 'w' that can make it true is w=0 .
4 0
3 years ago
Other questions:
  • All holes dug 2 3/8 feet deep for fence post the fence posts 6 feet long how far above the ground will the fence post be what it
    11·1 answer
  • PLZ HELP
    12·2 answers
  • Stick a pencil down my licorice
    14·1 answer
  • Where are the negative rational numbers placed on a vertical number line?
    12·2 answers
  • The price of a gallon of milk was $2.65. The price rose y dollars after the last hurricane. Then the price dropped $0.15 and lat
    12·1 answer
  • Can anyone please help me with this?
    13·2 answers
  • The sum of 69 and 42 is five more than the difference of 146 and a number. Calculate the value of the unknown number.
    8·1 answer
  • Figure ABCD has vertices A(−2, 3), B(4, 3), C(4, −2), and D(−2, 0). What is the area of figure ABCD?
    7·2 answers
  • Please help dhshajgsfge
    5·1 answer
  • 6. GO DEEPER Wayne's gym locker is a rectangular prism with a width and height of 14 1/2inches.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!