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
Plane R and plane P intersect at AB.
Planes are when 3 points that are not on the same line can be used to describe a plane. Plane P is horizontal and Plane R is vertical and these 2 planes intersect at line AB. Intersecting is where these 2 planes meet, therefore line AB is common to both planes.
Shifting a graph down by 5 units is the same as subtracting 5 from the right side. So, k is 5.
The integer values in 3x + 4 be greater than 44 and less
than 100 is 17
<h3>Solving the inequality</h3>
<u>Given data</u>
3x + 4 > 44
3x + 4 < 100
solution
3x + 4 > 44
3x > 44 - 4
3x > 40
x > 13.333
for integer greater than 40 we have
x = 14, 15, 16,.....
3x + 4 < 100
3x < 100 - 4
3x < 96
x < 32 hence x is from 31 down
x = 31, 30, 29,....
so this is x takes value from 14 to 31 which is 17 values
hence the integer values in 3x + 4 be greater than 44 and less
than 100 is 17
Read more on inequalities here: brainly.com/question/24372553
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Answer:
ha? maybe
Step-by-step explanation:
amm im not really sure
