M= 5/7
explanation: Slope is equal to the change in
y
y
over the change in
x
x
, or rise over run.
m
=
change in y
change in x
m
=
change in y
change in x
The change in
x
x
is equal to the difference in x-coordinates (also called run), and the change in
y
y
is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1
x
2
−
x
1
m
=
y
2
-
y
1
x
2
-
x
1
Substitute in the values of
x
x
and
y
y
into the equation to find the slope.
m
=
3
−
(
−
2
)
9
−
(
2
)
m
=
3
-
(
-
2
)
9
-
(
2
)
Simplify.
m
=
5
9
−
(
2
)
m
=
5
9
-
(
2
)
Simplify the denominator.
Tap for more steps...
m
=
5
7
Answer:
C = (5/9F) - (160/9)
Step-by-step explanation:
F = 9/5C + 32
F - 32 = 9/5 C
C = 5/9 (F-32)
C = (5/9F) - (160/9)
Step-by-step explanation:
just take -4.5 the right side
Answer:
Step-by-step explanation:
3x2 - y2 = 9.........(1)
x2 + 2y2 = 38......(2)
Let x^2 = a and y^2 = b
:- the two equations becomes
3a - b = 9..........(3)
a + 2b = 38.......(4)
Multiplying (4) by 3
3a + 6b = 114........(5)
Substracting (3) from (5)
3a - 3a + 6b - (-b) = 114 - 9
6b +b = 105
7b = 105
b = 105/7
b = 15
And 3a - b = 9 putting b = 15
3a - 15 = 9
3a = 15+9
3a = 24
a = 24/3
a = 8
And
x^2 = a
x^2 = 8
x = √8
x = √(4×2)
x = 2√2
Also y^2 = b
y^2 = 15
y = √15
This is a square matrix whose entries are real and rows and columns are orthogonal unit vectors.
