If a cubic foot of stone weighs 150 lb and a cubic foot of iron weighs 480 lb, what fraction of the second weight is the first o
2 answers:
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Answer:
x= -3 and y= 0
Step-by-step explanation:
5x+2y=-15
<u>2x-2y=-6 </u>
<u>7x =-21</u>
x= -3
Putting value of x in equation 1
5(-3) +2y=-15
-15+2y= -15
2y= 0
y= 0
This can be solved with the help of matrices
In matrix form the above equations can be written in the form
=
Let
= A
= X and
= B
Then AX= B
or X= A⁻¹ B
where A⁻¹= adj A/ ║A║ where mod A≠ 0
adj A=
║A║= ( 5*-2- 2*2)= -10-4= -14≠0
X= A⁻¹ B
=- 1/14
=- 1/14
=- 1/14
=- 1/14
=
=
From here x= -3 and y= 0
Solution Set = [(-3,0)]
Answer:
Option (1)
1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.
Step-by-step explanation:
The rest of the question is the attached figure (1).
The statement options are:
1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.
2) Segment B'D' will run through (2, 2) and will be longer than segment BD.
3) Segment B'D' will parallel to segment BD and will be shorter than segment BD.
4) Segment B'D' will be parallel to segment BD and will be longer than segment BD.
==============================================================
See the attched figure (2), which represents Quadrilateral ABCD and the image A'B'C'D'
As shown:
The quadrilateral ABCD with vertices A(1,2), B(2,3), C(4,2) and D(2,1).
Quadrilateral ABCD is dilated by a scale factor of 1 over 2 centered around (2, 2).
So,
The quadrilateral A'B'C'D' will be with vertices:
A'= (1.5,2), B'= (2,2.5), C'= (3,2), D'= (2,1.5)
Comparing the options with the figure (2):
So, the answer is option (1)
1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.
