3x - 1 = 9x + 2
3x (-3x) - 1 (-2) = 9x (-3x) + 2 (-2)
-3 = 6x
-3/6 = 6x/6
-1/2 = x
hope thsi helps
Answer:
b
Step-by-step explanation:
to prove if NP is tangent to MN
we could prove if NPM is a right triangle
By pythagorean theorem
a^2+b^2=c^2
where a=MN=33
b=NP=180
c=MP=MQ+QP=152+33=185
so
33^2+180^2=185^2
but
1089+32400 is not equal to 34225
33489 is different from 34225
Answer:
Percentage increase in volume will be
33.1
%
Step-by-step explanation:
Let the each edge of cube be
100
units.
Then its volume is
100
3
=
1000000
cubic units.
If each edge increases by
10
%
it becomes
110
units
and volume becomes
110
3
=
1331000
cubic units
Therefore increase in volume is
1331000
−
1000000
=
331000
cubic units
and percentage increase in volume is
331000
1000000
×
100
%
=
331
10
%
=
33.1
%
Answer:
second option, IQR = 13-6 = 7 and Range = 17-6 = 11
Step-by-step explanation:
<span>9 hamburgers and 3 fries for 24.75 and 6 hamburgers and 4 fries for 19.50 can be represented by
9h + 3f = 24.75 and
6h + 4f = 19.5
Multiply by 4 36h + 12f = 99
and multiply by -3 -18h -12f = -58.5
12f and -12f cancel each other out
36h - 18h = 99 -58.5
18h = 40.5
h = 2.25
hamburgers cost 2.25
9h + 3f = 24.75
9(2.25) + 3f = 24.75
3f = 24.75 - 20.25 = 4.50
f = 150
fries cost 1.50
One hamburger and one fries can be represented by :
h + f
2.25 + 150 = 3.75</span>
