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3 years ago

N-10+9n-3 combine the like terms

Mathematics

1 answer:

Shkiper50 [21]3 years ago

3 0

Answer:

10n-13

Step-by-step explanation:

n is positive and 9n is positive so you add 9n and n

9n+n=10n

10 is negative and so is 3 so you do negative 10 minus 3

-10-3=-13

10n-13

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HELP!!

leonid [27]

Answer:

The focus point is (2 , 0) ⇒ answer D

Step-by-step explanation:

* Lets revise the equation of the parabola in standard form

- The standard form is (x - h)² = 4p(y - k)

- The focus is (h, k + p)

- The directrix is y = k - p

- If the parabola is rotated so that its vertex is (h , k) and its axis of

symmetry is parallel to the x-axis, it has an equation of

(y - k)² = 4p(x - h)

- The focus is (h + p, k)

- The directrix is x = h - p

* Lets solve the problem

∵ The equation of the parabola is y = 1/8(x² - 4x - 12)

- Lets make x² - 4x completing square

∵ √x² = x

∴ The 1st term in the bracket is x

∵ 4x ÷ 2 = 2x

∴ The product of the 1st term and the 2nd term is 2x

∵ The 1st term is x

∴ the second term = 2x ÷ x = 2

∴ The bracket is (x - 2)²

∵ (x - 2)² = (x² - 4x + 4)

∴ To complete the square add 4 to the bracket and subtract 4 out

the bracket to keep the equation as it

∴ (x² - 4x + 4) - 4 = (x - 2)² - 4

- Lets put the equation after making the completing square

∴ y = 1/8 [(x - 2)² - 4 - 12]

∴ y = 1/8 [(x - 2)² - 16] ⇒ multiply both sides by 8

∴ 8y = (x - 2)² - 16 ⇒ add 16 to both sides

∴ 8y + 16 = (x - 2)² ⇒ take from the left side 8 as a common factor

∴ 8(y + 2) = (x - 2)²

∴ The standard form of the equation of the parabola is

(x - 2)² = 8(y + 2)

∵ The standard form of the equation is (x - h)² = 4p(y - k)

∴ h = 2 , k = -2 , 4p = 8

∵ The focus is (h , k + p)

∵ h = 2

∵ 4p = 8 ⇒ divide both sides by 4

∴ p = 2

∴ The focus = (2 , -2 + 2) = (2 , 0)

* The focus point is (2 , 0)

6 0

3 years ago

Someone help me with these two. I'll give you brainliest and 25 points!! MATHEMATICIANS OUT THERE HELP

mixer [17]

Hello LovingAngel!

To find the slope, you can use the formulas $\frac{rise}{run}$ as well as $\frac{y^2-y^1}{x^2 - x^1}$ . I am using the latter to calculate and ensuring my answer with the former.

[Note: (x,y) is the format for ordered pairs]

First pair: value 1:(1,5) and value 2:(2,8)
$\frac{y^2-y^1}{x^2 - x^1}$ -> $\frac{8 - 5}{2 - 1}$ -> $\frac{3}{1}$ or 3.

The slope for (1,5) and (2,8) is 3(/1).

Second pair: value 1: (3,1) value 2 (3,-1)

$\frac{y^2-y^1}{x^2 - x^1}$ -> $\frac{-1 - 1}{3 - 3}$ -> $\frac{-2}{0}$
Slope for the second pair is -2/0

Checking work with $\frac{rise}{run}$
1. Slope: 3/1, meaning rise (y) +3 and run (x) +1. (1,5) -> (1+1,5 + 3) -> (2,8) ✔
2. Slope: -2/0, meaning rise (y) -2/drop (y) 2 and run 0. (3,1) -> (3 + 0, 1 + -2) -> (3,-1) <span>✔</span>

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3 years ago

above swimming pool is leaking after 1/2 hour the pool has lead 7/8 of a gallon of water how many gallons of water per hour is a

jekas [21]

Do a proportion. X/7/8=1/1/2. 7/8 x 1= 7/8. Now do 7/8 divided by 1/2. To do this multiply 7/8 by the reciprocal of 1/2 which is 2/1. 7 x 2= 14 and 8 x 1=8. Improper fraction is 14/8. It is 1 6/8 as a mixed number which is simplified to 1 3/4. Answer is 1 3/4

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2 years ago

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Reptile [31]

Answer: X is 15. N is 100

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3 years ago

What is the reference angle for 7pi/6

DanielleElmas [232]

The reference angle is a positive acute angle. Angle 7π/6 in radians= = 7*180°/6 = 210° ( because π rad=180°).
This angle is in the 3rd Quadrant and formula for the reference angle is:
x-180°.
210°-180°=30°
Answer: The reference angle for 7π/6 is 30°.

3 0

3 years ago

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