Answer:
x=5, y=4. (5, 4).
Step-by-step explanation:
2x-3y=-2
4x+y=24
------------------
-2(2x-3y)=-2(-2)
4x+y=24
----------------------
-4x+6y=4
4x+y=24
--------------
7y=28
y=28/7
y=4
4x+4=24
4x=24-4
4x=20
x=20/4
x=5
Answer:
False, they take form of a U shape
Answer:
-8-7= 15
so the answer is 15
Step-by-step explanation:
We know that the formula for the volume of a box is:

Where:
l = length
w = width
h = height
The formula of the surface area of a box is:

Based on the given we know the following:

and

If we factor out the given volume, you can come up with 3 numbers that will satisfy the surface area formula:

Let:
l = 6cm
w = 7cm
h = 13cm
Now let's try this on the surface area formula:





The answer is then:
l = 6cmw = 7cmh = 13cmAny order would be fine.
Answer:
This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:
(x-4)=0 ===> x=4,
so that now you have to plot 2 functions!
For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:
|x-4| = -(x-4)=4-x
Then:
for x<=4, y = -x+4-7 = -x-3
for x=>4, (x-4) is positive, so no changes:
y= x-4-7 = x-11,
Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11
In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:
x=4 and x= 3 for y=-x-3
And just x=5 for y=x-11
The reason is that the absolute value is continuous, so x=4 works for both:
x=4===> y=-4-3 = -7
x==4 ====> y = 4-11=-7!
abs() usually have a cusp int he point where it is =0
Step-by-step explanation: