Answer: The width is 7 meters. The length is 10 meters.
Step-by-step explanation: Area = Length × width
Length is 2w - 4
Substitute that value for length, then solve for w.
70 = w(2w - 4)
70 = 2w² - 4w reorganize to quadratic equation form
2w² - 4w -70 = 0 These are All even numbers; factor out 2 (divide all by 2)
w² - 2w - 35 = 0 factor this
(w - 7)(w + 5) set each factor = 0 and calculate the value of w.
w+5=0 w= -5 (disregard this one because dimensions of real rectangles can't be negative)
w - 7 = 0 w = 7 <u>The width is 7</u>
Substitute into the original expressions to get the value of Length.
2(7) -4 = L 14 - 4 = L The<u> Length is 10.</u>
Check by substituting into the original equation:
w × 2w -4 = 70
7 × 2(7) -4 = 70
7 × 10 = 70 TRUE!
w
Answer:
Option d. is the correct choice.
Step-by-step explanation:
8 can be written as √8 x √8 = √64
So, given expression will become:
= √64 x √6
= √384
Best Regards!
Answer:
y = (-3/4)x -2
or: y = -0.75x -2
Step-by-step explanation:
First, find the slope of the line that it parallel to. Using equation
slope m = (y2-y1)/(x2-x1),
slope of line that passes through points (4, 0) and (0, 3)
= (3 - 0) /( 0-4)
= -3/4
Since the lines are parallel, both of them have the same slope, which is -3/4.
The point (0, -2) is actually the point of y -intercept (c) of the new line, so we can simply use the slope-intercept form to find the equation of line.
y = mx + c
y = (-3/4)x + (-2)
y = (-3/4)x -2
1 year = 3.6 % depreciation
100-3.6=96.4
so you do 35,865 ×0.964 = 34,573.86
so the price after a year is £34,573.86
to find out what the price is after 10 years you do 34,573.86 (0.964) to the power of 10
which equals £23961.73
I hope that was helpful :)
Answer:
B. 7
Step-by-step explanation: 6/24= 1/4 so 7/24>1/4
