Hello :)
3x+y=27
-3x+4y= -42
+____________
(3x -3x) + (y+4y) = (27-42)
0 + 5y = -15
y = -3
Put "-3" for "y" in the system:
3x + y =27
3x -3=27
3x = 30
x = 10
Answer = x:10 y: -3
Have a nice day :)
Answer:
a rational number
Step-by-step explanation:
a rational number + a rational number will always be a rational number.
Solution:
There are four kinds of rigid transformations.
1. Reflection
2. Rotation
3. Translation
4. Dilation
1. The Meaning of term reflection is when we reflect something through a line or mirror the distance of object from line of reflection on both sides are same. The two images Preimage and image are congruent.
2. Rotation means rotating an object or geometrical shape through an angle. An angle can be of any measure that is 0,30°,45°,90°,...... In rotation the two , image and preimage are congruent.
3. While in translation , we shift something from a place to another place keeping the two images,that is image and preimage are congruent.
In all three,either in reflection, rotation,or translation there is no change in shape and size, the two that is image and Preimage are congruent.
Check the forward differences of the sequence.
If 
, then let 
be the sequence of first-order differences of 
. That is, for n ≥ 1,
so that 
.
Let 
be the sequence of differences of ,
and we see that this is a constant sequence, 
. In other words, is an arithmetic sequence with common difference between terms of 2. That is,
and we can solve for 
in terms of 
:
and so on down to
We solve for 
in the same way.
Then
and so on down to
Answer:
Fraction of the original board left = 
Step-by-step explanation:
Let the length of the board is = l feet
Marty saws off 
of a wooden board.
Length of the board left = l - 
= 
feet
He saws off 
of the remaining board,
Board left = ![(\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})]](https://tex.z-dn.net/?f=%28%5Cfrac%7B4%7D%7B5%7D%29l-%5B%28%5Cfrac%7B4%7D%7B5%7D%29l%5Ctimes%20%28%5Cfrac%7B3%7D%7B4%7D%29%5D)
= 
= 
feet
He finally saws off 
rd of the remaining board.
Board left = ![\frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7Dl-%5B%5Cfrac%7B1%7D%7B5%7D%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%5Dl)
= 
= 
feet
Fraction of the original board left = 
=
