Answer:
a) 2 b) -1/2
Step-by-step explanation:
a) im pretty sure the question only asks for the slope of the parallel line y=2x+3, that that would be 2 because they have the same slope
b) the question is phrased weird, but im assuming it wants the same thing from a, (the slope) and the slope of a perpendicular like is always the opposite reciprocal of the original number
for example in y=2x+3:
2 is the original slope
meaning that the perpendicular would be -1/2
<em>the</em><em> </em><em>images</em><em> </em><em>above</em><em> </em><em>are</em><em> </em><em>just</em><em> </em><em>examples</em><em> </em><em>and</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>related</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>answer</em>
The system of equations is:
2x+1.5y=20
x+y=12
When you solve it you get:
x=4 hamburger bun packages
y=8 hot dog bun packages
Answer:
x=16
Step-by-step explanation:
1/2 ( x - 4 ) = 1/3 ( x + 2)
distribute both sides
1
/2
(x−4)=
1/
3
(x+2)
(
1
/2
)(x) + (
1/
2
)(−4) =(
1
/3
) (x)+(
1/3
)(2)(Distribute)
1
/2
x+−2=
1
/3
x+
2
/3
1
/2
x+−2=
1
/3
x+
2
/3
Step 2: Subtract 1/3x from both sides.
1/2x -2 -1/3
x
x=
1
/3
x +
2/3 −
1/
3
x
1
/6 x−2=
2/
3
Step 3: Add 2 to both sides.
1
/6
x −2+2=
2/
3 +2
1
/6
x =
8
/3
Step 4: Multiply both sides by 6.
6*(
1/6
x) =6*(
8
/3
)
x=16
<span>C) The triangles could have the same shape but not necessarily the same size.
</span>