9(p - 4) = -18
Simplify our equation by multiplying the parenthesis out.
(9 × p) + (9 × -4) = -18
Simplify.
9p + (-36) = -18
Get rid of parenthesis.
9p - 36 = -18
Now, since we're trying to isolate "p," we need to add 36 to both sides.
9p - 36 + 36 = -18 + 36
Simplify.
9p = 18
Divide both sides by 9.
9p ÷ 9 = 18 ÷ 9
Simplify.
p = 2
~Hope I helped! :)~
Given/equations formed from text:
I: l=w+3
II: A=l*w
III: new area B=(l-2)*w
IV: B=A-30
substitute l in II with I to remove l:
II': A=l*w=
(w+3)*w=
w^2+3w
substitute l in III with I to remove l:
III': B=(l-2)*w=
(w+3-2)*w=
(w+1)*w=
w^2+w
substitute A and B from II' and III' into IV:
B=A-30
w^2+w=w^2+3w-30
30=2w
w=15
insert w=15 into I:
l=15+3=18
->
A) dimensions of full size rectangle are width 15 and length 18
dimensions of reduced size rectangle are width 15 and length 16
B) full size: 15*18=10*18+5*18=180+90=270cm^2
reduced size: 15*16=10*16+5*16=160+80=240cm^2
18 multiplied with t
Product represents multiplication
The coefficient is 18
and to solve, t/18 is also correct
If the legs of a right triangle are a and b and the hypotnuse is c then
a²+b²=c²
so we are given
the legs are x and √7
and the hypotnuse is √19
so
x²+(√7)²=(√19)²
x²+7=19
minus 7 both sides
x²=12
sqrt both sides
x=√12
x=√(4*3)
x=(√4)(√3)
x=2√3
