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Iteru [2.4K]
3 years ago
6

Which represents the solution set of 5(x+5)<85

Mathematics
2 answers:
boyakko [2]3 years ago
8 0
Divide both sides by 5 , so 5(x + 5)/5 < 85/5  , which will give you <span>x + 5 < 17 , then minus 5 from both sides which will give you x < 12 . hope this helps !</span>
Vlad [161]3 years ago
8 0

Answer:

x < 12

In solution set, we can write it as (-∞, 12)

Step-by-step explanation:

Given inequality: 5(x + 5) < 85

Here we have to solve for "x"

To isolated the variable and constant:

Step 1: Divide both side by 5, we get

x + 5 <  85/5

x + 5 < 17

Step 2: Subtract 5 on both sides, we get

x + 5 - 5 < 17 - 5

x < 12

In solution set, we can write it as (-∞, 12)

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5 Exam-style ABCD is a kite.
Mnenie [13.5K]

let's recall that in a Kite the diagonals meet each other at 90° angles, Check the picture below, so we're looking for the equation of a line that's perpendicular to BD and that passes through (-1 , 3).

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of BD

y = \stackrel{\stackrel{m}{\downarrow }}{3}x-1\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}

\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}

so we're really looking for the equation of a line whose slope is -1/3 and passes through point A

(\stackrel{x_1}{-1}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{1}{3}}[x-\stackrel{x_1}{(-1)}]\implies y-3=-\cfrac{1}{3}(x+1) \\\\\\ y-3=-\cfrac{1}{3}x-\cfrac{1}{3}\implies y=-\cfrac{1}{3}x-\cfrac{1}{3}+3\implies y=-\cfrac{1}{3}x+\cfrac{8}{3}

5 0
2 years ago
3 ( x + 8 ) = 5 -1/2 ( 8x + 18 )
Contact [7]

Answer:

x=-4

Step-by-step explanation:

7 0
3 years ago
Given: 5n-42=12n prove: n=-6
Vikentia [17]

Answer:

n=-6

Step-by-step explanation:

5n-42=12n

5n=12n+24

5n-12n=42

-7n=42

divide each side by -7

n does =-6

3 0
3 years ago
Read 2 more answers
What is the reference angle for 7pi/6​
max2010maxim [7]

Answer:

\frac{\pi }{6}

Step-by-step explanation:

\frac{7\pi }{6} is in the third quadrant

To find the reference angle subtract π from it, that is

reference angle = \frac{7\pi }{6} - π = \frac{\pi }{6}

8 0
3 years ago
If f(x)=3x+2 and g(x)=x2-x find each value. 14. g(2)-2
Katena32 [7]
Value 14 so it must be 55 or something
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3 years ago
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