Since y=3x+15
sub 3x+15 for y in other equation
2x+3(3x+15)=1
2x+9x+45=1
minus 45
11x=-44
divide 11
x=-4
sub
y=3x+15
y=3(-4)+15
y=-12+15
y=3
(-4,3)
Answer:
Only the isosceles trapezoid has an area of 32 cm².
Step-by-step explanation:
Let's calculate the area of each polygon.
For the two triangles we have:

This polygon does not have an area of 32 cm².
For the rectangle we have:

This polygon does not have an area of 32 cm².
For the rectangle trapezoid we have:
So, this polygon does not have an area of 32 cm².
Finally, for the isosceles trapezoid:
This polygon does have an area of 32 cm².
Therefore, only the isosceles trapezoid has an area of 32 cm².
I hope it helps you!
<span>Cone Volume = (<span>π<span> • r² •<span> h) ÷ 3
radius^2 = (3 * Volume) / (PI * height)
</span></span></span></span><span>radius^2 = (3 * 12) / (PI * 3)
radius^2 = (36)/ (</span><span>9.4247779608) </span><span>
radius^2 = </span>
<span>
<span>
<span>
3.8197186342
</span>
</span>
</span>
radius =
<span>
<span>
<span>
1.95</span></span></span>
Packet of 12 pencils = p
Packet of 30 rulers = r
p = £2.15
r = £6.00
£35 = 4r + xp
£35 = 4(£6.00) + x(£2.15)
£35 = £24 + £2.15x
£11 = £2.15x
x = 5.12
Since she can buy 5.12 packets of pencils, it is equal to 5 packets of pencils.