Formula used: 40+x = 4x-3 x is used for <em>ET</em>
Step-by-step explanation:
40+x = 4x-3
<u>+</u><u>3</u> <u>+</u><u>3</u>
43+x = 4x
<u>-</u><u>x</u> <u>-</u><u>x</u>
<u>43</u> = <u>3x</u>
3 3
14.3 = x
then substitude this on 5x+3 on <em>W</em><em>T</em> and you arr good
Answer:

Step-by-step explanation:
A road is perpendicular to a highway leading to a farmhouse d miles away.
An automobile passes through the point of intersection with a constant speed
= r mph
Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.
Then by Pythagoras theorem,
h² = d² + x²
By taking derivative on both the sides of the equation,




When automobile is 30 miles past the intersection,
For x = 30

Since 
Therefore,


<span>Let the extension of the length and width be x.
The new dimensions are: Length = 8+x
Width =3+x
Area = 104 ft squared
Area of a rectangle = Length x Width
Therefore,
(8+x)(3+x) = 104
x^2 +11x +24=104
x^2 +11x +24-104=0
x^2 +11x-80=0
Factorize using splitting the middle term method.
X^2 +16x-5x-80=0
x(x+16)-5(x+16)=0
(x-5)(x+16)=0
either x-5 = 0 or x+16=0
x=5 or x=-16
length and width measure cannot be negative.
Therefore, the extension of the length and width is 5 feet each.</span>
Answer:
3. 18 + 18 + 7 + 7 = 50
4. 120 degrees
Step-by-step explanation:
5+2(3x-4)=12x-11 is 5+6x -8 = 12x -11, 5-8+11= 12x-6x, “8= 6x” so option B is correct