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:
Part A
it supposed to be x⩾-1/3 since you divided by negative
Step-by-step explanation:
Part A
4-6x⩾-15x+1
step 1: add -6x to both sides
4-6x+6x⩾-15x+6x+1
=4⩾-9x+1
step 2: subtract 1 from both sides
4-1⩾-9x+1-1
3⩾-9x
step 3: do reflexive property and divide
3⩾-9x
= <u>-9x⩽3</u>
-9
x⩽-1/3
and since you divided by negative, the sign must change. so it'll be x⩾-1/3
This one works the same way the last one did.
If -8 is x-2, then x = -6. The corresponding point is (-6, -5).
Answer: 10^2 = x^2 plus 6^2
100= x^2 + 36
64=x^2
8
Step-by-step explanation:
27 multiplied by 10 will give you the answer. 27 x 10 = 270.