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hichkok12 [17]
3 years ago
8

Completely factor 4a^2-12a+8

Mathematics
2 answers:
Nikitich [7]3 years ago
7 0

Answer:

4(a - 2)(a - 1)

Step-by-step explanation:

4a^2 - 12a + 8 =

First, factor out a common factor from all terms.

= 4(a^2 - 3a + 2)

To factor a^2 - 3a + 2, you need two numbers whose product is 2 and whose sum is -3. Since the product is a positive number, 2, the two numbers are either both positive or both negative. Since the sum is negative, -3, then both numbers must be negative. The two numbers are -1 and -2.

= 4(a - 2)(a - 1)

lutik1710 [3]3 years ago
5 0

Answer:

4(a-1)(a-2)

Step-by-step explanation:

take out 4 (common factor)

4(a^2-3a+2)

then use box method to factor

 <u>   a         -1</u>

a<u>  a^2     -a</u>

<u>-</u>2<u> -2a      2</u>

4(a-1)(a-2)

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Roman55 [17]
How do you find the correct equation? Follow these steps.

First, plug 0 in for X and solve for Y . Does the y value match what is on the graph? 0 in this case?

a. 0 = -2(0) True - This could be an answer
b. 0 = 0 + 4 False - This cannot be an answer
c. 0 = 2(0) True - This could be an answer
d. 0 = 0 - 4 False - This cannot be an answer

Now we are down to 2 possible answers A and C. Now take another point on the line, say x=-2 and repeat, does the answer match what is on the graph? (4). 

a. 4 = -2(-2) True
c. 4 = 2(-2) False

As only A matches, A must be the answer. With graphing problems, when you have to find the correct equation, always choose X=0 as the first point (assuming it has a Y value) and eliminate answers. I hope this helps.
5 0
4 years ago
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Airida [17]

Answer:

Step-by-step explanation:

If you use the triangle inequality theorem you just add the first two sides to determine if the number is bigger than the third side if so it can form a triangle that's the first step. Just repeat with a b and c a+b a+c and b+c, and it will help you determine what type of triangle it is.

I believe the first set can, angle a and c are larger than angle b I can't be sure about the other one. I'm sorry I hope this helps push you some direction forward.

6 0
3 years ago
Can you help me with my work
coldgirl [10]

Answer:

1. 9 or -9

2. 3.6  or  -3.6

3. 12 and -12

4. The quadratic function has no real roots.

Step-by-step explanation:

1. Solve x² -81 = 0

x² -81 = 0

x² = 81

x = ±√81

x = 9      or   x = -9


2. solve 2x² - 26 = 0

 2x² - 26 = 0

2x² = 26

x² = 13

x = ±√13

∴ x = 3.6      or    x = -3.6


3. f(x) = x² - 144

let f(x) = 0

x² - 144 = 0

x² = 144

x = ±√144

x = 12   and  x = -12


4. f(x) = x² + 25

let f(x) = 0

x² + 25 = 0

x² = -25

x = ±√(-25)

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7 0
3 years ago
Find the diameter of the wheel. 0.6ft
s344n2d4d5 [400]

Answer:

Diameter of the wheel = 1.2 feet

Step-by-step explanation:

Radius of a wheel = Distance between a point on the circumference and the center of the circle

Diameter of a wheel = 2(radius of the circle)

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Therefore, diameter of the wheel is 1.2 feet.

5 0
3 years ago
Trapezoid WKLX has vertices W(2, −3), K(4, −3), L(5, −2) , and X(1, −2) . Trapezoid WKLX ​ is translated 4 units right and 3 uni
guapka [62]
Okay, so first of all, if the trapezoid was translated right 4,
Then all the (x)'s should be 4 more than the original value
For example: (2,-3) <span>→ (6,-3)
Now since the Trapezoid was translated down 3,
Then all the (y)'s should be 3 less than the original value
For example: (2,-3) </span><span>→ (2,-6)
Now do this to all the Vertices
</span>(6,-6)(8,-6)(9,-5)(5,-5)
Final Answer: <span>Option 2</span>
7 0
3 years ago
Read 2 more answers
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