The variable is x, and the coefficient is 4x
Answer:
Width = 2
Length = 5
Step-by-step explanation:
let A be the area of the rectangle
L be the length of the rectangle
w be the width of the rectangle
<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’
A = L × w
…………………………………………………
A = L × w
⇔ 10 = (w + 3) × w
⇔ 10 = w² + 3w
⇔ w² + 3w - 10 = 0
<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 = 0 :
Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49
then √Δ = 7


-5 is not valid ,because w represents the width
which must be a positive number
Then w = 2
<u><em>Conclusion</em></u>:
Width = 2
Length = 2 + 3 = 5
Answer:
1 2 3 4
Step-by-step explanation:
For the first system, we have
1 - 3x + 3y = -8
or
-3x + 3y = -9
The second equation, however, tells us
-3x + 3y = 13
but -9 ≠ 13, so this system has no solution.
For the second system, notice that multiplying both sides of
4x - 8y = 6
by 1/2 gives
2x - 4y = 3
which is identical to the other equation in the system. Then all point (x, y) that lie on this line are solutions to the system, meaning there are infinitely many solutions.
Answer:
a) 137.9°
b) 12.2° (please refer to explanation because I didn't know what to round to)
Step-by-step explanation:
1a) A supplementary angle will equal 180°, so you must subtract 42.1 from 180
180-42.1 = 137.9
1b) A complementary angle will equal 90°, so you need to use the expression given and add an x for the other part of 90°
8x-20+x = 90
9x-20=90
9x=110
x=12.2