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stepladder [879]
4 years ago
5

Find the value of M when -5(M+1)≤23

Mathematics
1 answer:
Mice21 [21]4 years ago
8 0

Answer:

M ≥ -5  3/5

Step-by-step explanation:

-5(M+1)≤23

Distribute -5

-5M -5 ≤23

Add 5 to each side

-5M -5+5 ≤ 23 +5

-5M ≤ 28

Divide each side by -5, remembering to flip the inequality

-5M/-5 ≥ 28/-5

M ≥ -28/5

M ≥ -5  3/5

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Q: Write the slope intercept form of the equation of the line through the given point with the given slope.
Lelechka [254]
6)

\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ 2}}\quad ,&{{ -1}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 0
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-1)=0(x-2)
\\\\\\
y+1=0\implies \boxed{y=-1}

8)

\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ 5}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-1=3(x-5)
\\\\\\
y-1=3x-15\implies y=3x-15+1\implies \boxed{y=3x-14}
7 0
3 years ago
Kaylee drove 75.5 miles in 54 minutes,if she continues to drive at the same rate, how long will it take her to drive 250 miles?
Crazy boy [7]

Answer:

179 minutes

Step-by-step explanation:

  1. Divide both sides by 75.5 to see how many minutes it would take to drive 1 mile. (54 / 75.5) =108/151
  2. She can drive 1 mile in 108/151 minutes
  3. Times by 250. (108/151 * 250) 178.8
  4. 179 to nearest minute
7 0
3 years ago
4x - 9 = 6 - X<br> What is the answer please
vodka [1.7K]

collect the like terms

4x - 9 = 6-x

4x + x= 6+9

and then complete the equation

5x = 6 + 9

5x = 15

x = 15 ÷ 5

x = 3

4 0
3 years ago
Read 2 more answers
TO ANYONE WHO WILL HELP ME..
NikAS [45]

Answer:

there isn't a math question

Step-by-step explanation:

4 0
3 years ago
∠C and ​ ∠D ​ are vertical angles with  m∠C=−x+26 and  m∠D=2x−10 .   What is m∠D ?
Valentin [98]
Vertical angles are made by two intersecting lines .and they are always equal
<span>∠C and ​ ∠D are equal.
so  </span><span>−x+26 =2x-10
-3x=-36
x=36/3
x=12</span>°

∠D= 2x-10
put value of x here
∠D=24-10
∠D=14°
3 0
3 years ago
Read 2 more answers
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