All categories

3 years ago

A line passes through the point (4,-6) and he a slope -3/4. Which is the equation of the line?

Mathematics

1 answer:

ANEK [815]3 years ago

8 0

Answer:

The equation of the line is 3x + 4y + 12 = 0

Step-by-step explanation:

$given \: that \: the \: line \: passes \: through \: (4 , - 6) \\ and \: has \: the \: slope \: of \: \frac{ - 3}{4} \\ the \: equation \: of \: the \: line \: is \\ y - y1 = m(x - x1) \\ here \: x1 = 4 \: \: \: y1 = - 6 \: \: and \: m = \frac{ - 3}{4} \\ on \: substituting \: the \: values \: in \: formula \\ y - ( - 6) = \frac{ - 3}{4} (x - 4) \\ y + 6 = \frac{ - 3}{4} (x - 4) \\ 4(y + 6) = - 3(x - 4) \\ 4y + 24 = - 3x + 12 \\ 3x + 4y + 24 - 12 = 0 \\ 3x + 4y + 12 = 0$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

You might be interested in

Need help!!!! ASAP!! Plzz

nadya68 [22]

Answer:

XV = 4.75

Step-by-step explanation:

TV/WV = UV/XV (similarity theorem)

TW = 9

WV = 3

UV = 19

TV = 9 + 3 = 12

XV = ?

Plug in the values

12/3 = 19/XV

4 = 19/XV

XV × 4 = 19

XV = 19/4

XV = 4.75

5 0

3 years ago

To evaluate 43/2 find A) the square of 4 and then take the cube root. B) the cube of 4 and then take the square root. C) the squ

tatiyna

Answer:

B) the cube of 4 and then take the square root

Step-by-step explanation:

43/2 = 21.5

___

The answer choices suggest you want ...

4^(3/2) . . . . . . . appropriate math symbols are very helpful

This can be evaluated several ways:

$4^{\frac{3}{2}}=\sqrt{4^3}=(\sqrt{4})^3=10^{\frac{3}{2}\log{4}}\\\\=8$

_____

Since the 3 is in the numerator of the fraction, it represents a cube, not a cube root. Any of the answer choices suggesting cube root is involved are incorrect. (Eliminating those leaves only the correct answer choice.)

4 0

3 years ago

A drawing of the Eiffel Tower in Paris used the scale of 2 cm = 5 m. If the height of the tower in the drawing measures 120.4 cm

Delicious77 [7]

301 meters

Since 2cm=5m you would have to divide 120.4 by 2 to get 60.2 and times it by 5 to get 301

3 0

2 years ago

Read 2 more answers

Solve the equation by completing the square. Round to the nearest tenth, if necessary. Simplify your solutions and enter them fr

Slav-nsk [51]

Answer:

-1.1, 6.1

Step-by-step explanation:

-2X^2+10X+14=0

(-2X^2+10X+14)/-2=0

X^2-5X-7=0

Then use the quadratic formula because you can't factor

Fill in the equations and solve. One should have the plus and the other should have the minus and that's how you get the 2 different answers.

A=1

B=-5

C=-7

4 0

2 years ago

I need help guys plsss

malfutka [58]

Answer:

6. r = 21 cm

7. A = 155.5 m²

Step-by-step explanation:

7: Formula for arc length is;

S = (θ/360) × 2πr

We are given;

S = 51 cm

θ = 139°

Thus;

51 = (139/360) × 2π × r

Making r the subject;

r = (51 × 360)/(2π × 139)

r ≈ 21 cm

8) Area of sector is gotten from the formula;

A = (θ/360) × πr²

A = (220/360) × (π × 9²)

A = 155.5 m²

8 0

3 years ago