Answer:
x= -26
Step-by-step explanation:
-14 = x + 12
x = -14-12
x= -26
Answer:
Mariya is 1 year old
Vikram is 7 years old
Step-by-step explanation:
Here, we want to know the present ages of Mariya and Vikram.
Let the present age of Mariya be M and the present age of Vikram be V
From the question, we are told that in 6 years time, Mariya will be as old as Vikram is now
Thus, mathematically;
M + 6 = V ••••••(i)
Furthermore , in 2 years time Vikram will be 3 time older than Mariya
Mathematically;
( V + 2) = 3( M + 2)
V + 2 = 3M + 6
V = 3M + 6-2
V = 3M + 4 •••••••(ii)
So let’s equate the V
3m + 4 = m + 6
3m -m = 6-4
2m = 2
m = 1
But V = m + 6
V = 1 + 6
V = 7
For the case of a line through
(
2
,
7
)
and
(
1
,
−
4
)
we have
slope
m
=
Δ
y
Δ
x
=
−
4
−
7
1
−
2
=
−
11
−
1
=
11
Using the point
(
2
,
7
)
we can write the equation of the line in point slope form as:
y
−
7
=
m
(
x
−
2
)
where the slope
m
=
11
.
That is:
y
−
7
=
11
(
x
−
2
)
To get point intercept form, first expand the right hand side so...
y
−
7
=
11
x
−
(
11
⋅
2
)
=
11
x
−
22
Then add
7
to both sides to get:
y
=
11
x
−
15
=
11
x
+
(
−
15
)
This is point intercept (
y
=
m
x
+
c
) form with slope
m
=
11
and intercept
c
=
−
15
.
Answer:
D
Step-by-step explanation:
