Answer:
(n-2) • (4n+3)
Step-by-step explanation:
4n2-5n-6
Final result :
(n - 2) • (4n + 3)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(22n2 - 5n) - 6
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 4n2-5n-6
The first term is, 4n2 its coefficient is 4 .
The middle term is, -5n its coefficient is -5 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 4 • -6 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3
4n2 - 8n + 3n - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
4n • (n-2)
Add up the last 2 terms, pulling out common factors :
3 • (n-2)
Step-5 : Add up the four terms of step 4 :
(4n+3) • (n-2)
Which is the desired factorization
Final result :
(n - 2) • (4n + 3)
Simplify
3x^2 - x + 7 + 6x^2 - 3
Collect like terms
(3x^2 + 6x^2) - x + (7 - 3)
Simplify
<u>9x^2 - x + 4</u>
Answer:
l=11.25 (total of both lengths, you divide that by 2 for one side.)
Step-by-step explanation:
l*w=20 ft
l=w+2 1/2 ft
w+2 1/2 *w= 20
-2 1/2
2w=17 1/2
divide by 2
w=8.75 l= 11.25
8.75+2.5 = 11.25
Answer:
Therefore the height of the tower is 116.75 m.
Step-by-step explanation:
Given that a pole that is 2.6 m tall casts a shadow that is 1.03 m long.
Here the height of a object directly proportional to the shadow. It means
Height of the object ∝ shadow
Height of the object= k.shadow
[k is the proportional constant.]
[Height of object is denoted by h and shadow is denoted by s]
Then,
[h₁ is the height of the pole and s₁is the length of the shadow]
Again for the tower
[h₂ is the height of the tower and s₂ is the length of the shadow]
Therefore,
............(1)
Given , and
Putting the value of and equation (1)
[cross multiplication]
Therefore the height of the tower is 116.75 m.
Answer:
Step-by-step explanation:
To find the value of y, you can create an equation where two parts of the line are equal to the whole line:
Substitute given values:
Solve for y. Simplify parentheses:
Combine like terms to simplify the equation:
Get the variable on one side of the equation and the constants on the other. Add 9 to both sides:
Subtract 9y from both sides:
Isolate the variable. Divide both sides by 10:
The value of y is 2. Insert this value into each line segment value and solve:
:Done
You can check by using:
This statement is true, so the values are correct.