Answer:
Step-by-step explanation:
x² - 12x + a = (x + b)²
x² - 12x + a = x² + 2xb + b²
-12 = 2b and a = b²
b = -6
a = b² = 36
Step-by-step explanation:
Given :-
The length of the garden 8m greater than 2 times the width.
Area of the garden is 280 m²
Let us consider the length as x and width as y.
Sp, we can day length as :-
x = 8 + 2y ---(1)
Now, we know that:-
Area of Rectangle = Length × Breadth
280 = x * y
We can replace the value of x now,
280 = y × ( 8 + 2y)
280 = 8y + 2y²
2y² + 8y - 280 = 0
y² + 4y - 140 = 0
Factorise it.
(y -10)(y + 14)
Cancelling -ve value, we get the width as 10 metres.
<u>Hope</u><u> </u><u>it</u><u> </u><u>helps</u><u> </u><u>:</u><u>)</u>
Csc x · sec x - tan x =
= 1 / sin x · 1 / cos x - sin x / cos x =
= 1 / sinx cos x - sin² x / sin x cos x =
= ( 1 - sin² x ) / (sin x cos x) =
= cos² x / ( sin x cos x ) =
= cos x / sin x = cot x
Hi there! The unit rate per carton is $4.
To find our answer we must divide the total cost by the total cartons bought.
$ 48 / 12 = $4
Answer:
<h3>
- 14</h3>
Step-by-step explanation:
{x - some integer}
2x - the first even integer
2x+2 - the second consecutive even integer
2x+4 - the third consecutive even integer (the largest)
2x + 2x+2 + 2x+4 - the sum of three consecutive even integers
2x + 2x+2 + 2x+4 = -48
6x + 6 = -48
÷3 ÷3
2x + 2 = -16
+2 +2
2x+4 = -14
