Answer:
The scale factor is 5 because the increase in each side of the shape is *5
Cost of one hosta is $5 and cost of one geranium is $9.
Step-by-step explanation:
Let,
Cost of one hosta = x
Cost of one geranium = y
According to given statement;
13x+3y=92 Eqn 1
6x+14y=156 Eqn 2
Multiplying Eqn 1 by 6
![6(13x+3y=92)\\78x+18y=552\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=6%2813x%2B3y%3D92%29%5C%5C78x%2B18y%3D552%5C%20%5C%20%5C%20Eqn%5C%203)
Multiplying Eqn 2 by 13
![13(6x+14y=156)\\78x+182y=2028\ \ \ Eqn\ 4](https://tex.z-dn.net/?f=13%286x%2B14y%3D156%29%5C%5C78x%2B182y%3D2028%5C%20%5C%20%5C%20Eqn%5C%204)
Subtracting Eqn 3 from Eqn 4
![(78x+182y)-(78x+18y)=2028-552\\78x+182y-78x-18y=1476\\164y=1476](https://tex.z-dn.net/?f=%2878x%2B182y%29-%2878x%2B18y%29%3D2028-552%5C%5C78x%2B182y-78x-18y%3D1476%5C%5C164y%3D1476)
Dividing both sides by 164
![\frac{164y}{164}=\frac{1476}{164}\\y=9](https://tex.z-dn.net/?f=%5Cfrac%7B164y%7D%7B164%7D%3D%5Cfrac%7B1476%7D%7B164%7D%5C%5Cy%3D9)
Putting y=9 in Eqn 2
![6x+14(9)=156\\6x+126=156\\6x=156-126\\6x=30](https://tex.z-dn.net/?f=6x%2B14%289%29%3D156%5C%5C6x%2B126%3D156%5C%5C6x%3D156-126%5C%5C6x%3D30)
Dividing both sides by 6
![\frac{6x}{6}=\frac{30}{6}\\x=5](https://tex.z-dn.net/?f=%5Cfrac%7B6x%7D%7B6%7D%3D%5Cfrac%7B30%7D%7B6%7D%5C%5Cx%3D5)
Cost of one hosta is $5 and cost of one geranium is $9.
Keywords: linear equation, subtraction
Learn more about linear equations at:
#LearnwithBrainly
Answer:
area of the triangle= 1/2 × base × height
24 = 1/2 × 4 × height
height. = 24/2
= 12 inches
answer is third option
Answer:
Step-by-step explanation:
(2^8 ⋅ 3^−5 ⋅ 6^0)^−2 ⋅ 3
(2^8 ⋅ 3^−5 ⋅ 6^0)^−6
(a^m)^n=a^m*n
So,
(2^8*-6) * (3^−5*-6) * (6^0*-6)
(2^-48) (3^30) (6^0)
a^0=1
So,
(2^-48) (3^30) (1)
<u>(2^-48) (3^30)</u>
I hope this helps you friend!
1) surface area = 18m^2 * pi * 26m = <span>8424pi m^2</span>