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leonid [27]
2 years ago
8

Factories 24x^2-41x+12

Mathematics
1 answer:
andriy [413]2 years ago
5 0

Answer:

(3x - 4)(8x - 3)

Step-by-step explanation:

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 24 × 12 and sum = - 41

The required factors are - 32 and - 9

Use these factors to split the x- term

24x² - 32x - 9x + 12 ( factor the first/second and third/fourth terms )

= 8x(3x - 4) - 3(3x - 4) ← factor out (3x - 4) from each term

= (3x - 4)(8x - 3) ← in factored form

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Find the cube root of 27d3 + 54a2b + 36ab2 + 8b3​
enot [183]

Answer:

 (3a + 2b)3

Step-by-step explanation:

STEP 1  :

Equation at the end of step 1

 (((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3

Step 2:

(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3

Step 3:

(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3

Step 4:

 ((33a3 +  (2•33a2b)) +  (22•32ab2)) +  23b3

Step 5:

 Factoring:  27a3+54a2b+36ab2+8b3

8 0
2 years ago
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb
den301095 [7]

Answer: b=-a

Step-by-step explanation:

got it right on edgenuity!

4 0
2 years ago
Read 2 more answers
A gecko is in a room that is 12 feet long, 10 feet wide and 8 feet tall. The gecko is currently on a side wall ($10^{\prime}$ by
salantis [7]

Answer: The shortest is 22.4 feet

Step-by-step explanation: For the gecko to walk the shortest distance, it has to go straight from where it is to the celling, diagonally from the celling to the wall where the fly is and straight from the corner of the celling to where the fly is.

straight from where it is to the celling: 1 feet

diagonally from the celling to the wall where the fly:

it is a right triangle hipotenuse what we want, leg 12 and 8. (see picture attached): h² = 12² + 8²    h = √208   h = 14.4 feet

straight from the corner of the celling to where the fly is: 7 feet.

1 + 14.4 + 7 = 22.4

4 0
1 year ago
a polygon of 100 sides has all possible drawn from a chosen vertex to the others. how many triangles are formed
Hoochie [10]

Answer:

98

Step-by-step explanation:

for a 4 sided polygon you can only draw one diagonal from one vertex so it forms 2 triangles.

For 5 sides  you get 3 triangles

For 6 sides  - 4

For 7 sides  - 5

For 8 sides - 6

Looks like we get 2 less triangles than the number of sides in the polygon


Answer for 100 sides is 98 triangles.

7 0
1 year ago
Find the value of x in each case:
timurjin [86]

Answer:

angle FGE = 36

angle GEL = 72

and angle GFH = 144

Step-by-step explanation:

well you know that angle GEF = 180 -2x

and that angle GFE = 180 -4x

so all the angles in triangle GEF must add to 180

so you have 180 = 180 -2x + 180 -4x + x

180 = 360 -5x

5x = 180

x = 36

so angle FGE = 36

angle GEL = 72

and angle GFH = 144

7 0
2 years ago
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