Equation in slope-intercept form is y = 2x - 6
Step-by-step explanation:
- Step 1: Given slope of the line, m = 2. Form an equation y = mx + b
⇒ y = 2x + b ---- (1)
- Step 2: The line passes through the point (4,2). So it will satisfy the equation. Find b by substituting x = 4 and y = 2.
⇒ 2 = 2 × 4 + b = 8 + b
⇒ b = -6
- Step 3: Form the slope-intercept equation.
⇒ y = 2x - 6
Answer:
b=136, c=44, d=44
Step-by-step explanation:
B is the same measure as A. C = D and A+B+C+D=360; C+D=88; C=44; D=44
check the picture below.
if ∡F = 90° and ∡D = 30°, then the ∡A = 60°, meaning the triangle is a 30-60-90 triangle and therefore we can use the 30-60-90 rule as you see in the picture.
![\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=7\sqrt{3}\\ b=7 \end{cases}\implies A=\cfrac{1}{2}(7)(7\sqrt{3}) \\\\\\ A=\cfrac{49\sqrt{3}}{2}\implies A\approx 42.43524478543749369142](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20triangle%7D%5C%5C%5C%5C%0AA%3D%5Ccfrac%7B1%7D%7B2%7Dbh~~%0A%5Cbegin%7Bcases%7D%0Ab%3Dbase%5C%5C%0Ah%3Dheight%5C%5C%5B-0.5em%5D%0A%5Chrulefill%5C%5C%0Ah%3D7%5Csqrt%7B3%7D%5C%5C%0Ab%3D7%0A%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B1%7D%7B2%7D%287%29%287%5Csqrt%7B3%7D%29%0A%5C%5C%5C%5C%5C%5C%0AA%3D%5Ccfrac%7B49%5Csqrt%7B3%7D%7D%7B2%7D%5Cimplies%20A%5Capprox%2042.43524478543749369142)
I think it is 46 because 21 x 2 is 42 plus 4 equals 46
(-54x^9/y^4)^2/3
(-54x^9)^2/3/(y^4)^2/3
-36x^6/y^2.6
