Please help with this
Answers
check the picture below.
well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like, however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.
[tex]\bf e(\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad f(\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-2}{)}\implies \implies \cfrac{-2}{0+2}\implies \cfrac{-2}{2}\implies -1 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf d(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad f(\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{)}{)}\implies \cfrac{0+1}{0+2}\implies \cfrac{1}{2} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope~of~ef}{-1\implies \cfrac{-1}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{-1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{1}{1}\implies 1}}[/tex]
so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.
Answer\ __o_o__/ lil i don’t kniw
if a = 1, and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.
[tex]Square root of a^6b times, cube root of a^2b^7[/tex]x = ±sqrt(10)
step-by-step explanation:
5 - 2x² = -15
subtract 5 from each side
5-5 - 2x² = -15-5
-2x^2 = -20
divide by -2 on each side
-2x^2 /-2= -20/-2
x^2 =10
take the square root on each side
sqrt(x^2 )=±sqrt(10)
x = ±sqrt(10)
check:
5 - 2x² = -15
+sqrt(10)
5 - 2(sqrt(10))² = -15
5 -2(10) = -15
5 -20 = -15
-15 = -15
-sqrt(10)
5 - 2(-sqrt(10))² = -15
5 -2(10) = -15
5 -20 = -15
-15 = -15