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2 years ago

PLZZZZ HELP What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?

1 answer:

6 0

$\bf 3y=-4x+2\implies y=\cfrac{-4x+2}{3} \\\\\\ y=\stackrel{\stackrel{slope}{\downarrow }}{-\cfrac{4}{3}}x+\cfrac{2}{3}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so the slope of that line above is really -4/3, now

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{4}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{3}{4}}\qquad \stackrel{negative~reciprocal}{+\cfrac{3}{4}\implies \blacktriangleright \cfrac{3}{4} \blacktriangleleft}}$

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giving brainly, show work! teacher said this was wrong, specifically the sheldon calculations part, so what's the correct answer

Evgen [1.6K]

Step-by-step explanation:

Sheldon's brother shoveled 2/3 of the driveway

Remaining portion = 1 - ⅔

= (3-2)/3

= 1/3

Sheldon shoveled 3/4 of what was left= ¾ × ⅓

= ¼

Sheldon shoveled ¼ or 0.25 of the driveway

Ahmed shoveled ⁴/5 of half of the driveway = 4/5 × ½

= 2/5

Ahmed shoveled 2/5 or 0.4 of the driveway

0.4 > 0.25

therefore, Ahmed will have the larger area to shovel

6 0

2 years ago

Read 2 more answers

If A = (0, 0) and B = (6, 3) what is the length of overline AB ?

Kaylis [27]

Answer:

A= (0,0) and B = (6,3)

We can find the length AB with the following formula:

$d = \sqrt{(x_B -x_A)^2 +(y_B -y_A)^2}$

And replacing we got:

$d = \sqrt{(6-0)^2 +(3-0)^2} = \sqrt{45}= 3\sqrt{5}$

So then the length AB would be $3\sqrt{5}$

Step-by-step explanation:

For this case we have the following two points:

A= (0,0) and B = (6,3)

We can find the length AB with the following formula:

$d = \sqrt{(x_B -x_A)^2 +(y_B -y_A)^2}$

And replacing we got:

$d = \sqrt{(6-0)^2 +(3-0)^2} = \sqrt{45}= 3\sqrt{5}$

So then the length AB would be $3\sqrt{5}$

7 0

3 years ago

∆ABC is reflected across the x-axis, then rotated 90° clockwise about the origin, and finally reflected across the line y = x to

torisob [31]

Answer:

Step-by-step explanation:

Notice that the vertices are A(1,1), B(2,3) and C(2,1).

A reflection across the x-axis give the coordinates A'(1,-1), B'(2,-3) and C'(2,-1). Then, we apply the rotation 90° clockwise about the origin A'(1,1), B'(3, 2) and C'(1, 2).

Finally, a reflection across the line y = x, gives A'(1,1), B'(2,3) and C'(2,1)

Therefore, the coordinates of the image are A'(1,1), B'(2,3) and C'(2,1).