A² + b² = c²
90² + 120² = c²
c² = 8100 + 14400
c² = 22500
c = √22500
c = 150
Answer: The diagonal distance is 150m long
4/5 - 3/5 is 1/5, which is the nswer.
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:
Step-by-step explanation:
1. Given that: y = (5 x 9) + (1 x 9)
= 45 + 9
= 54
Using repeated reasoning;
y = (5 x 9) + (1 x 9)
factoring 9 in the equation, we have;
y = 9 (5 + 1)
= 9 (6)
= 54
2i. 7 x 6 = (5 x 6) + (2 x 6)
= (5 + 2)6
= 7 x 6
= 42
ii. 7 x 9 = (5 x 9) + (2 x 9)
= (5 + 2)9
= 7 x 9
= 63
iii. 7 x 7 = (5 x 7) + (2 x 7)
= (5 + 2)7
= 7 x 7
= 49
Therefore, the factors that Pam used repeatedly are 5 and 2.
3. 7 x 8 = (LX) + (LX)
= X(L + L)
Representing L and X by a number,
7 x 8 = (4 x 7) + (4 x 7)
= 7(4 + 4)
= 7(8)
= 7 x 8
= 56
Thus, the generalization is true.