“Let the width of the garden =x meter
Then length=(x+4) meter
Half perimeter =36 m
So perimeter of garden =(2×36)=72 meters
According to the question
⇒2(l+b)=72
⇒2(x+x+4)=72
⇒2x+2x+4=74⇒4x=64⇒x=16 meters
Hence,the width of the garden =16 meters
The length of the garden =(16+4)=20 meters”
Answer:
Step-by-step explanation:
12x+3y= 15
12x= -3y+15
divide both sides by 12 and you get
x= -3/12y+15/12
simplifying:
x=-1/4+5/4
Answer:
The Cost of yellow shirts is $15 and the cost of purple shirt is $ 60
Step-by-step explanation:
Let cost of one yellow shirt be x
and the cost of one purple shirt be y
On Monday
5x + 7y = 165--------------------(1)
On Tuesday
4x + 11y = 213----------------------(2)
To solve (1) and (2)
multiplying eq(1) with 4
20x + 28y = 660--------------------(3)
multiplying eq(2) with 5
20x + 55y = 1056-------------------(4)
Subtracting (3) from (4)
20x + 55y = 1056
20x + 28y = 660
(-)
-----------------------------------
0x +27y = 405
-----------------------------------

y = 15
Substituting y value in eq(1)
5x + 7(15) = 165
5x + 105 =405
5x =405 -105
5x =300
x = \frac{300}{5}
x =60
The answer
a) the main rule for transformations <span>Rx-axis is as following
original (x, y) --------------- the final coordinates become (x, -y)
so the answer is </span><span>A' (2, -5), B' (4,-6) and C' (3,-1)
b) just put the figure of y= 3, and check the value after projection
it is </span> A' (2, 1), B' (4,0) and C' (3,4)
c) <span>T<-2,5>, the main rule is as following
T(a, b) ----- applying on (x, y) is (a+x, b+y) for the transformed points
in our case, </span><span>A' (0,10), B' (2,11) and C' (1,6)
d) the same method as above for </span><span>d. T<3,-6>, we found
</span><span>A '(5,-1), B '(7,0) and C ' (6,-5)
</span>