. What is the solution set for this inequality? -3r+5<-7 please answer quickly!

Mathematics

1 answer:

irinina [24]2 years ago

4 0

Answer:

r>4

Step-by-step explanation:

-3r+5<-7

-3r+5-5 <-7-5

-3r<-12

-3r/3

12/3

r>4

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Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form? 5x + 3y = 18 5x – 3y = 30

ddd [48]

$\bf C(\stackrel{x_1}{3}~,~\stackrel{y_1}{-5})\qquad 
D(\stackrel{x_2}{6}~,~\stackrel{y_2}{0})
\\\\\\
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-(-5)}{6-3}\implies \cfrac{0+5}{6-3}\implies \cfrac{5}{3}
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\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{5}{3}(x-3)\implies y+5=\cfrac{5}{3}(x-3)$

$\bf \stackrel{\textit{multiplying both sides by LCD of 3}}{3(y+5)=3\left[ \cfrac{5}{3}(x-3) \right]}\implies 3y+15=5(x-3)
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3y+15=5x-15\implies -5x+3y=-30\implies \stackrel{\textit{multiplying by -1}}{5x-3y=30}$

bearing in mind the standard form uses all integers, and the x-variable cannot have a negative coefficient.

6 0

3 years ago

Read 2 more answers

98 POINTS!<br> d(e-f)=g<br> Solve For f.

Lubov Fominskaja [6]

d (e - f) = g

de - df = g

df = de - g

f = ed - g/d

Hope helps-Aparri

5 0

2 years ago