Here,
let width(b)be x then,
length (l)=9cm+x
area =112 sq cm
now,
area of rectangle=l*b
or, 112=(9+x)x
or, 112=9x+x^2
or, 0=x^2+9x-112
or, 0=x^2+(16-7)x-112
or, 0=x^2+16x-7x-112
or, 0=x(x+16)-7(x+16)
or, 0=(x-7)(x+16)
either,
0=x-7
or,7=x
x=7cm
Or,
0=x+16
or, -16=x
x= -16[impossible,as distance is never negative] so,
x=7cm
therefore,length = 7cm + 9 cm = 16cm and width = 7cm.
;)
Ok I took it in steps the answer that is 100% more certain is 1/8. The fraction is 1/8 that they take home.
Answer:
d
Step-by-step explanation:
12
Answer:
y = - 
x - 3
Step-by-step explanation:
The equation of a line in slope- intercept fprm is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 7 is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - , thus
y = - x + c ← is the partial equation of the perpendicular line
To find c substitute (3, - 4) into the partial equation
- 4 = - 1 + c ⇒ c = - 4 + 1 = - 3
y = - x - 3 ← equation of perpendicular line
Answer:
A
Step-by-step explanation:
Using the recursive formula with a₁ = 5 , then
a₂ = 2a₁ - 7 = 2(5) - 7 = 10 - 7 = 3
a₃ = 2a₂ - 7 = 2(3) - 7 = 6 - 7 = - 1
a₄ = 2a₃ - 7 = 2(- 1) - 7 = - 2 - 7 = - 9 → A
