Answer:
132 cm²
Step-by-step explanation:
Consider the shape as a trapezoid with a rectangle added on top.
The area of the trapezoid is (7+19)/2 × 8 =104
The area of the rectangle is 7×4 = 28
Add the two areas: 104+28= 132
OR consider the shape as a tall rectangle with the two triangles added to the sides.
The area of the rectangle is 7(4+8) = 84
The area of the triangles is 8(19-7)/2= 48
[Each triangle is 24 cm²]
Add those areas
84+48=132
Same result: 132 cm²
Answer:
8 from the box on right corner
Answer:
I’m pretty sure the square root between two Integers is when you have a non perfect square root for example the square root of 92. Since it is not perfect you have to estimate it and you use a numeric line to do it so in this case the square root of 92 would have to go in between the nearest perfect square roots from both sides which are 81 and 100. In the line you would see it as 9 and 10 and you have to estimate the value which in this case would be about 9.6
Step-by-step explanation:
1 )
1st and 2nd equation (multiply 1st by -2 ):
-2x - 10 y + 8 z = 20
2 x - y + 5 z = -9
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- 11 y + 13 z = 11 / * ( -20 )
1st and 3rd:
- 2 x - 10 y + 8 z = 20
2 x - 10 y - 5 z = 0
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- 20 x + 3 z = 20 / * 11
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220 y - 260 z = -220
- 220 y + 33 z = 220
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z = 0, y = -1, x = - 5
2 )
2 x - y + 5 = -4
- 2 x + 3 y - 5 = - 10
Substitution: y = 2 x + 9
- 2 x + 3(2 x + 9 ) = -5
4 x = - 32, x = -8, y = -7, z = 5
3 )
x + y + z = 11
1.5 x+3 y +1.5 z = 21
x = 2 y
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3 y + z = 11 / * (-2)
6 y + 1.5 z = 21
------------------------
- 6 y - 2 z = -22
6 y + 1.5 z = 21
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-0.5 z = -1, z = 2, y = 3, z = 6
Answer: the store used 6 pounds of peanuts, 3 pounds of almonds and 2 pounds of raisins.
Answer:
3x-x+2=4
Step-by-step explanation:
The domain of f(x)=2^x would be the x values. This would include all values that you can input as x in order to make this problem work. The domain of a function is usually all real numbers. The range of f(x)=2^x would be the y values. This would include all values that would be the output for the y value. An example of this would be if you used 2 as x then the function would read f(x)=2^2. The y would equal 4 which would be included in the range of this function. To find the domain and range of the inverse you would follow the proper steps to get the inverse of the function which would be x=2^y. The domain would be the x values and the range would be the y values. If you put 4 as x which would be your input for the domain you would get 2^4 = 16 for the y which would be the range.
