Answer:
Step-by-step explanation:
Given that:
x + 4y = 30
x - 2y = 0
Subtracting both equations:
6y = 30
y = 30/6
y = 5
Putting in above equation
x + 4(5) = 30
x + 20 = 30
x = 10
i hope it will help you
Answer:3x^2-5x+2=0
Step-by-step explanation:
Format of a quadratic equation= ax^2 +bx+c
Let x=1 and 2/3
When x=1
x-1=0.......(1)
When x=2/3
x-2/3=0.........(2)
Compare the equations
(x-1)(x-2/3)=0
x^2-2/3x-x+2/3=0
x^2-5/3x+2/3=0
Multiply all terms by 3
3x^2-5x+2=0
Answer:
d or c
Step-by-step explanation:
Answer:

Step-by-step explanation:
we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces
so
![SA=b^{2}+4[\frac{1}{2}bh]](https://tex.z-dn.net/?f=SA%3Db%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7Dbh%5D)
where
b is the length side of the square base
h is the height of the triangular face
Remember that
Each lateral triangular face is a triangle 45°-90°-45°
so

we have

so

substitute in the formula
![SA=6^{2}+4[\frac{1}{2}(6)(3)]=72\ ft^{2}](https://tex.z-dn.net/?f=SA%3D6%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%286%29%283%29%5D%3D72%5C%20ft%5E%7B2%7D)
Answer:
B. 104
Step-by-step explanation:
Just find the area of the wall and subtract the area of the window. The area of the wall is 10 times 11 which is 110. The area of the window is 2 times 3 which is 6. 110 minus 6 is 104.