Well, <span>y=2/3x+4 is already in slope-intercept form, therefore </span>
.
so, a perpendicular line to a line with that slope, will have a negative reciprocal slope
so then, what's the equation of a line whose slope is -3/2 and goes through -2,-2?
![\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ -2}}\quad ,&{{ -2}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies -\cfrac{3}{2} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-2)=-\cfrac{3}{2}[x-(-2)] \\\\\\ y+2=-\cfrac{3}{2}(x+2)\implies y+2=-\cfrac{3}{2}x-3\implies y=-\cfrac{3}{2}x-5](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Blllll%7D%0A%26x_1%26y_1%5C%5C%0A%25%20%20%20%28a%2Cb%29%0A%26%28%7B%7B%20-2%7D%7D%5Cquad%20%2C%26%7B%7B%20-2%7D%7D%29%0A%5Cend%7Barray%7D%0A%5C%5C%5C%5C%5C%5C%0A%25%20slope%20%20%3D%20m%0Aslope%20%3D%20%7B%7B%20m%7D%7D%3D%20%5Ccfrac%7Brise%7D%7Brun%7D%20%5Cimplies%20-%5Ccfrac%7B3%7D%7B2%7D%0A%5C%5C%5C%5C%5C%5C%0A%25%20point-slope%20intercept%0A%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%7B%7B%20y_1%7D%7D%3D%7B%7B%20m%7D%7D%28x-%7B%7B%20x_1%7D%7D%29%7D%5Cimplies%20y-%28-2%29%3D-%5Ccfrac%7B3%7D%7B2%7D%5Bx-%28-2%29%5D%0A%5C%5C%5C%5C%5C%5C%0Ay%2B2%3D-%5Ccfrac%7B3%7D%7B2%7D%28x%2B2%29%5Cimplies%20y%2B2%3D-%5Ccfrac%7B3%7D%7B2%7Dx-3%5Cimplies%20y%3D-%5Ccfrac%7B3%7D%7B2%7Dx-5)
(x • (y³)) - 32xyz²
Pull out like factors :
xy³ - 9xyz² = xy • (y² - 9z²)
Factoring: y² - 9z²
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B² =
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : y² is the square of y¹
Check : z² is the square of z¹
Factorization is : (y + 3z) • (y - 3z)
Final result :
xy • (y + 3z) • (y - 3z)
The answer would be A.
If you distribute 8 to 2x and 4, you’ll get 16x+32.
Answer:
Step-by-step explanation:
5(3m + n) = 15m + 5n
Answer:
Look at my step-by-step explanation
Step-by-step explanation:
since its an equilateral, all the sides are equa;
since there are 3 sides, you multiply the equation by 3
3(1.75x-2)
5.25x-6
