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3 years ago

Twice a number plus 5 is -3. I don’t understand it help please

Mathematics

1 answer:

VMariaS [17]3 years ago

5 0

Answer:

2n+5 =3

n=-1

The number is -1

Step-by-step explanation:

Let n be the number

Twice the number

Plus 5

2n+5

is means equals

2n+5 =3

Now we want to solve

Subtract 5 from each side

2n+5-5 = 3-5

2n = -2

Divide each side by 2

2n/2 = -2/2

n = -1

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2 years ago

If (m, 2) is on a circle with center (−3, 2) and radius 8, what is a value of m?

Talja [164]

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -3}}\quad ,&{{ 2}})\quad 
% (c,d)
&({{ m}}\quad ,&{{ 2}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}$

$\bf \textit{we know the distance from m,2 and -3,2(center) is the radius}
\\\\\\
d=8\implies 8=\sqrt{[m-(-3)]^2+[2-2]^2}
\\\\\\
8=\sqrt{(m+3)^2+(0)^2}\implies 8=\sqrt{(m+3)^2}\implies 8^2=(m+3)^2
\\\\\\
64=(m+3)^2\implies \sqrt{64}=\sqrt{(m+3)^2}\implies 8=m+3
\\\\\\
8-3=m$

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3 years ago