Answer:
a=5, b=15
Step-by-step explanation:
we know that
The figure MNLO is a Kite
so
LO=NO and MN=LM
we have
LO=7a-14, NO=b+6
7a-14=b+6 -----> equation A
MN=b, LM=3a
b=3a -----> equation B
Solve the system of equations by substitution
Substitute equation B in equation A and solve for a
7a-14=(3a)+6
7a-3a=6+14
4a=20
a=5
Find the value of b
b=3a ----> b=3(5)=15
therefore
a=5, b=15
Answer:
$2.50
Step-by-step explanation:
Jake's total expenditure is ...
total = admission + c × (number of tickets)
36 = 13.50 + 9c . . . an equation to solve
4 = 1.50 +c . . . . . . . divide by 9
2.50 = c . . . . the cost of one ticket
Each ticket cost Jake $2.50.
Answer:
A,
B
Step-by-step explanation:
If it's a 15 dollar variable fee and a flat 10 our equation looks like this
15c+10
which is the same as A
Now that we know the equation we can just plug a couple of numbers in
when c=3 what is h
15(3)+10=
55
THerefore the answer is B
Given:
A student says that the graph of the equation 
is the same as the graph of 
, only translated upwards by 8 units.
To find:
Whether the student is correct or not.
Solution:
Initial equation is
Equation of after transformation is
Now,
...(i)
The translation is defined as
...(ii)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (i) and (ii), we get
Therefore, the graph of translated left by 8 units. Hence, the student is wrong.
The diameter is 46 and the radius is 11.5
