Answer:
(3y - 2)(2y - 7)
Step-by-step explanation:
To factorise the quadratic
Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term
Product = 6 × 14 = 84 and sum = - 25
The required factors are - 4 and - 21
Use these factors to split the y- term
6y² - 4y - 21y + 14 ( factor the first/second and third/fourth terms )
2y(3y - 2) - 7(3y - 2) ← factor out (3y - 2) from each term
= (3y - 2)(2y - 7) ← in factored form
Let would be the annual interest rate such that,
I = P x r^t
For the 1st
160.67 = (2000) x r*8/12 ; r = 0.02277
The second case is just the same.
9514 1404 393
Answer:
49°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
∠A +∠B +∠C = 180
(x +32) +(x +41) +(3x +22) = 180 . . . . angles assumed to be in degrees
5x +95 = 180
5x = 85
x = 17
x +32 = 49 . . . . measure of ∠A
A=LW
192=(13+x)((9+x)
192=117+22x+x^2 (subtract 192 from both sides)
x^2+22x-75+0 (factor)
(x+25)(x-3)=0
so x=-25 or 3
Check work
since we are adding x it can only be the positive solution so x=3 so the new dimensions are:
L=13+3=16m
W=9+3=12
check: 16*12=192 so the answer is correct hope this helped
Answer:
Look at my explanation
Step-by-step explanation:
The circumference of a circle is 2πr, so you can set it up like this since the circumference was 22π.
2πr = 22π
divide both sides by 2
πr = 11π
divide both sides by π
you get r = 11
So your radius is 11.
To find the area, you must do πr^2 ("^2" means squared)
if you substitute 11 for r you get
11π^2
you can do 11 squared first
11^2 = 121
the area of the circle = 121π
Keep in mind that they said to use 3.14 for π
so you can do 121 x 3.14
Final Answer: 379.94
