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barxatty [35]
2 years ago
8

What is the slope of the line? 3x-4y=73x−4y=7

Mathematics
1 answer:
Andrei [34K]2 years ago
7 0
To find the slope, we put this in y = mx + b form where m is ur slope.

3x - 4y = 7.....subtract 3x from both sides
-4y = -3x + 7 ...now we divide both sides by -4
(-4/-4)y = (-3/-4)x + (-7/4)...simplify
y = 3/4x - 7/4

y = mx + b
y = 3/4x - 7/4.....so the number in the m position is 3/4 <== ur slope
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Find the vertices and foci of the hyperbola with equation quantity x plus one squared divided by sixteen minus the quantity of y
katrin2010 [14]

Answer:

The vertices are (3 , -5) , (-5 , -5)

The foci are (4 , -5) , (-6 , -5)

Step-by-step explanation:

* Lets study the equation of the hyperbola

- The standard form of the equation of a hyperbola with  

  center (h , k) and transverse axis parallel to the x-axis is

  (x - h)²/a² - (y - k)²/b² = 1

- The length of the transverse axis is 2 a

- The coordinates of the vertices are  (h  ±  a  ,  k)

- The coordinates of the foci are (h ± c , k), where c² = a² + b²

- The distance between the foci is  2c

* Now lets solve the problem

- The equation of the hyperbola is (x + 1)²/16 - (y + 5)²/9 = 1

* From the equation

# a² = 16 ⇒ a = ± 4

# b² = 9 ⇒ b = ± 3

# h = -1

# k = -5

∵ The vertices are (h + a , k) , (h - a , k)

∴ The vertices are (-1 + 4 , -5) , (-1 - 4 , -5)

* The vertices are (3 , -5) , (-5 , -5)

∵ c² = a² + b²

∴ c² = 16 + 9 = 25

∴ c = ± 5

∵ The foci are (h ± c , k)

∴ The foci are (-1 + 5 , -5) , (-1 - 5 , -5)

* The foci are (4 , -5) , (-6 , -5)

4 0
3 years ago
Read 2 more answers
Find the area of following rhombuses. Round your answers to the nearest tenth if necessary.
Andrews [41]

Answer:

505.4 in²

Step-by-step explanation:

½d2= 19×tan 35° = 19×0.7 = 13.3 in

d2 = 2×13.3 = 26.6 in

d1 = 2×19=38 in

the area of Rhombus =

½×38×26.6 = 505.4 in²

3 0
3 years ago
What is what is 2000 * 3000​
elena-14-01-66 [18.8K]

Answer:

600,000

Step-by-step explanation:

5 0
3 years ago
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The edge of each cube used to build this rectangular prism is 12 inch long. Which equation shows the volume of the prism, in cub
Sveta_85 [38]

Answer:

(4/2 × 2/2 × 3/2) in.³ =3 in.³

Step-by-step explanation:

8 0
2 years ago
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Help ? Plz forgot the steps (3z+9)(z-4)
Dafna11 [192]
It's a binomial times a binomial, so you FOIL
First multiply the First numbers
3z*z = 3z(^2)
Then multiply Outers:
3z* -4  = -12z 
Nest, Inners:
9*z = 9z
Finally, the Lasts: 
-4*9 = -36
Then, throw it all together in descending order, starting with the variable of highest degree to lowest:
3z^2 - 12z + 9z - 36
Last of all, simplify coefficients with like terms and you're good to go:
3z^2 - 3z - 36
Hope this helps!
3 0
3 years ago
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