Answer:
The value of v is 3/4.
Step-by-step explanation:
First, you have to convert mixed number into improper fraction :

In order to find the value of v, you have to substract 3/4 to both sides :





The coordinates of r is ( 4, -1 )
Answer:
7 feet
Step-by-step explanation:
Oak tree = x
14 : x as 60 : 30
Simplify the right ratio
14 : x as 2:1
Get the same first number in both ratios by multiplying 2:1 by 7
14 : x as 2(7) + 1(7)
14 : x as 14 : 7
Since the first number in each ratio is the same, we know that that x and 7 are equal
x = 7
Hope this helps, feel free to let me know if you would like a further explanation :)
Answer:

Step-by-step explanation:
First, multiply the 3 and the 7 together, and then "multiply" the exponents -8 and 3. (However, when "multiplying exponents, you're really just adding them together: -8 + 5)
(
)^2
Then, multiply the -5 and -2 together, giving you:

Answer:
b
Step-by-step explanation:
The equation:
3
x
2
−
5
x
−
12
=
0
is in the form:
a
x
2
+
b
x
+
c
=
0
with
a
=
3
,
b
=
−
5
,
c
=
−
12
The roots are given by the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
x
=
5
±
√
(
−
5
)
2
−
4
(
3
)
(
−
12
)
2
(
3
)
x
=
5
±
√
25
+
144
6
x
=
5
±
√
169
6
x
=
5
±
13
6
That is:
x
=
5
+
13
6
=
18
6
=
3
or
x
=
5
−
13
6
=
−
8
6
=
−
4
3