Answer:
180
Step-by-step explanation:
Answer:y = - 2x + 17
Step-by-step explanation:
The equation of a line, represented in the slope-intercept form, is
y = mx + c
Where
Slope = m
c = intercept
Looking at the equation given,
y=1/2x + 8
Slope,m = 1/2
If a line is perpendicular to a another line, then the slope of one line is equal to the negative reciprocal of the other line. It means that the slope of the perpendicular line that passes through that passes through ( 4, 9 ) will be -2
To determine c,
We will substitute m = -2, y = 9 and x = 4 into the slope intercept equation,
y = mx + c. It becomes
9 = -2 × 4 + c
9 = -8 + c
c = 9 + 8 = 17
The equation becomes
y = - 2x + 17
50• 40= $2000
The answer is multiply 50 and 40
Answer:
The simplest radical form of the cubic root is ![3x^2y^4\sqrt[3]{2x}](https://tex.z-dn.net/?f=3x%5E2y%5E4%5Csqrt%5B3%5D%7B2x%7D)
Step-by-step explanation:
Cube root of 54x^8y^12
That is:
![\sqrt[3]{54x^8y^12}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54x%5E8y%5E12%7D)
Can be simplified as:
![\sqrt[3]{54x^8y^12} = \sqrt[3]{54}\sqrt[3]{x^8}\sqrt[3]{y^12}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54x%5E8y%5E12%7D%20%3D%20%5Csqrt%5B3%5D%7B54%7D%5Csqrt%5B3%5D%7Bx%5E8%7D%5Csqrt%5B3%5D%7By%5E12%7D)
We find each separate simplification, and multiply them:
Cubic root of 54:

So
![\sqrt[3]{54} = \sqrt[3]{2*3^3} = 3\sqrt[3]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54%7D%20%3D%20%5Csqrt%5B3%5D%7B2%2A3%5E3%7D%20%3D%203%5Csqrt%5B3%5D%7B2%7D)
Cubic root of x^8
![\sqrt[3]{x^8} = \sqrt[3]{x^6*x^2} = x^2\sqrt[3]{x^2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E8%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E6%2Ax%5E2%7D%20%3D%20x%5E2%5Csqrt%5B3%5D%7Bx%5E2%7D)
Cubic root of y^12
![\sqrt[3]{y^{12}} = y^4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7By%5E%7B12%7D%7D%20%3D%20y%5E4)
Multiplying all these terms:
![\sqrt[3]{54}\sqrt[3]{x^8}\sqrt[3]{y^12} = 3\sqrt[3]{2}(x^2\sqrt[3]{x^2})(y^4) = 3x^2y^4\sqrt[3]{2x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54%7D%5Csqrt%5B3%5D%7Bx%5E8%7D%5Csqrt%5B3%5D%7By%5E12%7D%20%3D%203%5Csqrt%5B3%5D%7B2%7D%28x%5E2%5Csqrt%5B3%5D%7Bx%5E2%7D%29%28y%5E4%29%20%3D%203x%5E2y%5E4%5Csqrt%5B3%5D%7B2x%7D)
The simplest radical form of the cubic root is ![3x^2y^4\sqrt[3]{2x}](https://tex.z-dn.net/?f=3x%5E2y%5E4%5Csqrt%5B3%5D%7B2x%7D)
7 x 6 = $52
there will be no kids attending haha.