Answer:
x- 3y - 7=0
Step-by-step explanation:
the line in the slope-intercept form:
m= 1/3 and point given (1, -2) by using which we find y-intercept:
- b= y-1/3x
- b= -2- 1/3*1= - 7/3
General form of a line is: ax+by+c= 0
converting:
- y= 1/3x- 7/3 ⇒ 3y= x- 7 ⇒ x- 3y - 7=0
Answer:
a) The cost of buying this car is of £6200.
b) The monthly payment is of £450.
Step-by-step explanation:
The cost of buying a car is given by:
cost = 12 X monthly payment + deposit
a) Find the cost of a car when the monthly payment is £350 and the deposit is £2000.
So
cost = 12*350 + 2000 = 4200 + 2000 = 6200
The cost of buying this car is of £6200.
b) The cost of another car is £8000. Find the monthly payment when the deposit is £2600.
Again, the formula is applied. So
cost = 12 X monthly payment + deposit
8000 = 12x + 2600
12x = 5400
x = 5400/12
x = 450
The monthly payment is of £450.
Answer:
1. √32
2. 4
3. 5
4. √29
5. √10
6. 5√2
Step-by-step explanation:
Use Pythagoras
Keep in mind: The entire line segment (VX) is equal to 14.
Let's see how the line segment looks like first.
Line segment VX is 14 units long.
14
______________
V X
W is on the line segment somewhere, and VW is equal to 3.
3 ?
______________
V W X
We have to solve for the <em>?.</em> Let's put ? as x. So now we are solving for x.
We have to set up our equation like this:
x + 3 = 14
Since our unknown value plus 3 is equal to 14, we have to subtract 3 from 14 to get our answer.
14 - 3 = 11
3 11
______________
V W X
Answer:
a = 2
b = 5
Step-by-step explanation:
Given :
(ar^b)^4 = 16r^20 ; a and b are positive integers :
Opening the bracket :
a^4r^4b = 16r^20
a^4 = 16 - - - - - (1)
r^4b = r^20 - - - (2)
a^4 = 16
Take the 4th root of both sides :
(a^4)^(1/4) = 16^1/4
a = 2
From (2)
r^4b = r^20
4b = 20
Divide both sides by 4
4b/4 = 20/4
b = 5
Hence ;
a = 2
b = 5
