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Ray Of Light [21]
2 years ago
7

Which is the correct algebraic expression after combining like terms? 6+8x-7-x

Mathematics
2 answers:
kiruha [24]2 years ago
8 0
The answer would be A.) 7x-1
Murrr4er [49]2 years ago
6 0

Answer:

A.) 7x-1

Step-by-step explanation:

It would be this because 8x-x = 7x and 6-7 = -1, so if you combined them you should get 7x - 1

6 +8x -7 -x

8x -x = 7x

6-7 = -1

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Can you tell me which one plz ?
Andreas93 [3]
Just saying you have a 25% chance of getting it right if you guess
7 0
3 years ago
Classify each conic section and write its equations in standard form. Show work.
svp [43]

Answer:

The conic is ellipse of equation (x - 1)²/22 + (y + 4)²/44 = 1

Step-by-step explanation:

* Lets revise how to identify the type of the conic  

- Rewrite the equation in the general form,  

 Ax² + Bxy + Cy² + Dx + Ey + F = 0  

- Identify the values of A and C from the general form.  

- If A and C are nonzero, have the same sign, and are not equal  

 to each other, then the graph is an ellipse.  

- If A and C are equal and nonzero and have the same sign, then  

 the graph is a circle  

- If A and C are nonzero and have opposite signs, and are not equal  

then the graph is a hyperbola.  

- If either A or C is zero, then the graph is a parabola  

* Now lets solve the problem

The equation is 4x² + 2y² - 8x + 16y - 52 = 0

∴ A = 4 and C = 2 ⇒ same sign and different values

∴ The equation is ellipse

* The standard form of the ellipse is

  (x - h)²/a² + (y - k)²/b² = 1

- Lets try to make this form from the general form

- Group terms that contain the same variable, and move the

  constant to the opposite side of the equation

∴ (4x² - 8x) + (2y² + 16y) = 52

- Factorize the coefficients of the squared terms

∴ 4(x² - 2x) + 2(y² + 8y) = 52

- Complete the square for x and y

# To make completing square

- Divide the coefficient  of x (or y) by 2 and then square the answer

- Add and subtract this square number and form the bracket of

 the completing the square

# 2 ÷ 2 = 1 ⇒ (1)² = 1 ⇒ add and subtract 1

∴ 4[(x² - 2x + 1) - 1] = 4(x² - 2x + 1) - 4

- Rewrite as perfect squares ⇒ 4(x -1)² - 4

# 8 ÷ 2 = 4 ⇒ (4)² = 16 ⇒ add and subtract 16

∴ 2[(y² + 8y + 16) - 16] = 2(y² + 8y + 16)² - 32

- Rewrite as perfect squares ⇒ 2(y + 4)² - 32

∴ 4(x - 1)² - 4 + 2(y + 4)² - 32 = 52

∴ 4(x - 1)² - 4 + 2(y + 4)² = 32 + 4 + 52

∴ 4(x - 1)² + 2(y + 4)² = 88 ⇒ divide all terms by 88

∴ (x - 1)²/22 + (y + 4)²/44 = 1

8 0
2 years ago
Given the graph below write the equation of the line.
Scrat [10]

Answer:

y = 2x+8

Step-by-Step Explanation:

The equation should be in the form of y=mx+b

So you already know it's not A. Also you already know it's not D because the line goes at an angle, if "m"(slope) was 0 then the line would be straight horizontal or straight vertical. So that leaves B and C. And finally you know it's not B because the line is going in the positive direction not negative, so the slope has to be positive, also "b" in the equation is the y-intercept, and that's where the line intersects with the y-axis, and you can see that the line intersects at 8 on the graph. Therefore, the answer is C, y=2x+8

Hope this helps!! :)

4 0
2 years ago
Read 2 more answers
Given that 1 kilogram weighs approximately 22 pounds, rewrite 10 pounds as an equivalent number of kilograms
yaroslaw [1]

Answer:

0.4545 kgs.

Step-by-step explanation:

Given that 1 kg weighs approximately 22 pounds.

i.e. 1kg= 22 lbs.

We can use this to convert lbs into kg.

22 lbs = 1 kg

Hence 1 lb = 1/22 = 0.04545 kg

Now to find out the equivalent weight for 10lbs,

we have conversion factor as 1 lb= 0.04545 kg

Hence 10 lbs = 10(0.04545) = 0.4545 kgs

Hence 10 pounds written in equivalent kgs would be0.4545 kgs.

4 0
2 years ago
Find the approximate probability that the total number of credits earned by a random sample of 484 students from that school in
Alex73 [517]

Answer:

The correct answer is B=0.0262

Step-by-step explanation:

91÷3525 = 0.0262

The attached picture below gives a step by step explanation of how I arrived at my answer.

Please let's endeavor to always upload complete questions to avoid wrong answers.

6 0
3 years ago
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