Answer:
(-3,-8)
Step-by-step explanation:
okay so what we can do here is elimination
we can do this first by multiplying the entire second equation by 2
so then it would become
2(5x-2y=1)
10x-4y=2
now we can add the two equations together which will eliminate y
so
-8x+4y=-8 plus
10x-4y=2 equals
2x=-6
we did that by combining like terms
next we can simplify that
x=-3
now we can plug that into the equation
-8(-3)+4y=-8
simplify
24+4y=-8
4y=-32
y=-8
our answer would be
(-3,-8)
Answer:
2. The amount of soup in a can
3. The amount of chips in a bag of chips
5. The amount of chocolate that makes up a chocolate bar.
Step-by-step explanation:
Volume is the amount that a substance or object occupies, or that is enclosed within a container, so 1 and 4 wouldn't make sense since 1 is a shadow that doesn't take up anything three dimensional, and same goes with 4.
Answer:
x=0,-2
Step-by-step explanation:
Solve the solution by equaling them to each other and solve for x.
x^2+5x+6=3x+6
x^2+5x-3x+6-6=0
x^2+2x=0 (factor out one x)
x(x+2)=0
x has two solutions since there are two options of solving.
1. x=0/(x+2)
x=0
2. x+2=0/x
x+2=0
x=-2
25-7=18
18/25=x/100
the scale factor is 4
multiply 18*4
72%
First, we circumscribe a rectangle about the parallelogram as shown in the figure. The size of this rectangle is 10 by 6 clearly.
Between the rectangle and the parallelogram 4 triangles are formed, 2 by 2 congruent. We are going to remove the area of these 4 triangles from 60 (the area of the rectangle) and thus get the area of the parallelogram.
Note that one of the triangles has side lengths 4; 4. Thus, the area of this triangle is (4*4)/2=16/2=8 (square units.)
Each of the other two non-congruent triangles to the above have sides of length 6;2, so the area of each is (6*2)/2 =6 (square units.)
Thus, the area of the parallelogram is 60-8-8-6-6=60-16-12=60-28=32 (square units.)
Answer: 32 (square units.)