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3 years ago

Solve the equation. X^2 + 22x = -40 The solutions to the equation are

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

3 0

Answer:

$x_{1}=-2$

$x_{1}=-20$

Step-by-step explanation:

$x^2 + 22x = -40$

$x^2 + 22x+121 = -40+121$

Completing Square:

$(x+11)^2=81$

$x+11=\pm\sqrt{81}$

$x=-11\pm9$

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Step-by-step explanation:

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Sedaia [141]

Answer:

Step-by-step explanation:

We know that vector addition is scalar addition.

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2 years ago

We did not find results for: A measure of malnutrition, called the pelidisi, varies directly as the cube root of a person's w

asambeis [7]

$\bf \qquad \qquad \textit{double proportional variation}\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\$

$\bf \begin{cases}
p=pedalisi\\
w=weight\\
s=\textit{sitting height}
\end{cases}\quad 
\begin{array}{llll}
%pelidisi, varies directly as the cube root of a person's weight in grams and inversely as the person's sitting height in centimeters.
\textit{pelidisi varies directly}\\
\textit{as cube root of weight}\\
\textit{and inversely to }\\
\textit{sitting height}
\end{array}\implies p=\cfrac{k\sqrt[3]{w}}{s}\\\\
-------------------------------$

$\bf \textit{we know that }
\begin{cases}
w=48,820\\
s=78.7\\
p=100
\end{cases}\implies 100=\cfrac{k\sqrt[3]{48820}}{78.7}
\\\\\\
100\cdot 78.7=k\sqrt[3]{48820}\implies \cfrac{7870}{\sqrt[3]{48820}}=k
\\\\\\
thus\qquad \boxed{p=\cfrac{\frac{7870}{\sqrt[3]{48820}}\sqrt[3]{w}}{s}}
\\\\\\
\textit{now, what is \underline{p} when }
\begin{cases}
w=54,688\\
s=72.6
\end{cases}?\implies p=\cfrac{\frac{7870}{\sqrt[3]{48820}}\sqrt[3]{54688}}{72.6}$

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3 years ago

Area of 16+8×+×^2meters. What is the side length

wolverine [178]

Answer:

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Step-by-step explanation:

The trinomial x² +8x +16 is a perfect square trinomial, so factors as ...

x² +8x +16 = (x +4)²

Assuming the side length is one of the factors of the given area, it will be ...

side length = (x +4)

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3 years ago