Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*e-4-(6*e*(45+2*e))=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
(3e - 4) - 6e • (2e + 45) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-12e2 - 267e - 4 = -1 • (12e2 + 267e + 4)
Trying to factor by splitting the middle term
3.2 Factoring 12e2 + 267e + 4
The first term is, 12e2 its coefficient is 12 .
The middle term is, +267e its coefficient is 267 .
The last term, "the constant", is +4
Step-1 : Multiply the coefficient of the first term by the constant 12 • 4 = 48
Step-2 : Find two factors of 48 whose sum equals the coefficient of the middle term, which is 267 .
Step-by-step explanation:
5
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Answer:
<h2>see the answers ⤵️</h2>
Step-by-step explanation:
<h3>to understand the solving steps</h3><h3>you need to know about</h3>
- PEMDAS
let's solve:
Answer:
D
Step-by-step explanation:
Answer:
- width -- 10 ft
- length -- 35 ft
Step-by-step explanation:
We can let x represent the width. Then the length will be represented by (3x+5), a value 5 more than 3 times the width.
The area is the product of length and width, so is ...
A = (3x +5)(x) = 3x^2 +5x
To make the area 350, we can find the value of x from ...
3x^2 +5x = 350
This can be solved a number of ways. One of them is "completing the square".
3(x^2 +5/3x) = 350
We choose to divide by 3 and add the square of half the x-coefficient.
x^2 +5/3x +(5/6)^2 = (350/3) + (5/6)^2
(x +5/6)^2 = 4225/36 . . . . simplify
x +5/6 = ±√(4225/36) = ±10 5/6 . . . . take the square root
x = 10 or -11 2/3 . . . . subtract 5/6
The positive solution is the one of interest: x = 10.
The driveway is 10 ft wide and 35 ft long.
