<img src="https://tex.z-dn.net/?f=%5Csqrt%7B30%2B2x%3Dx%2B3" id="TexFormula1" title="\sqrt{30+2x=x+3" alt="\sqrt{30+2x=x+3" alig

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mina [271]

1 year ago

n="absmiddle" class="latex-formula">

Mathematics

1 answer:

Lelechka [254]1 year ago

6 0

An expression is defined as a set of numbers, variables, and mathematical operations. The value of x is either -7 or 3.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The complete question is "Find the value of x in the expression $\sqrt{30+2x}=x+3$ ".

The given expression $\sqrt{30+2x}=x+3$ can be solved for x as,

$\sqrt{30+2x}=x+3$

Square both the sides of the equation,

$(\sqrt{30+2x})^2=(x+3)^2$

30 + 2x = x² + 9 + 6x

0 = x² + 6x - 2x + 9 - 30

0 = x² + 4x - 21

0 = x² + 7x - 3x - 21

0 = x(x+7)-3(x+7)

0 = (x+7)(x-3)

x = -7, 3

Hence, the value of x is either -7 or 3.

Learn more about Expression:

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BaLLatris [955]

Answer:

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Step-by-step explanation:

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6 0

2 years ago

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Please help me <br> I have to solve the triangle with the law of sines

Nikitich [7]

Check the picture below.

and since a triangle has a sum of 180° for all interior angles.

A = 180 - 39.34 - 25

A = 115.66

$\bf \cfrac{sin(25^o)}{44}=\cfrac{sin(A)}{a}\implies \cfrac{sin(25^o)}{44}=\cfrac{sin(115.66^o)}{a} \\\\\\ a\cdot sin(25^o)=44\cdot sin(115.66^o)\implies a=\cfrac{44\cdot sin(115.66^o)}{sin(25^o)} \\\\\\ a\approx 93.8452\implies \stackrel{\textit{rounded up}}{a = 93.85}$

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7 0

2 years ago

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Use Cramer's Rule to solve the following system: –2x – 6y = –26 5x + 2y = 13

andriy [413]

$\bf \begin{cases}
-2x-6y&=-26\\
\quad 5x+2y&=13
\end{cases}\stackrel{\textit{determinant of the coefficients}}{D=
\begin{bmatrix}
-2&-6\\5&2
\end{bmatrix}}\implies (-4)-(-30)
\\\\\\
D=-4+30\implies \boxed{D=26}\\\\
-------------------------------\\\\$

$\bf x=\cfrac{D_x}{D}\implies x=\cfrac{
\begin{bmatrix}
\boxed{-26}&-6\\\\ \boxed{13}&2
\end{bmatrix}}{D}\implies x=\cfrac{(-52)-(-78)}{26}
\\\\\\
x=\cfrac{-52+78}{26}\implies x=\cfrac{26}{26}\implies \boxed{x=1}\\\\
-------------------------------\\\\
y=\cfrac{D_y}{D}\implies y=\cfrac{
\begin{bmatrix}
-2&\boxed{-26}\\\\ 5&\boxed{13}
\end{bmatrix}}{D}\implies y=\cfrac{(-26)-(-130)}{26}
\\\\\\
y=\cfrac{-26+130}{26}\implies y=\cfrac{104}{26}\implies \boxed{y=4}$

4 0

3 years ago

Plz help w this math problem

Svetllana [295]

Answer:

• for x = 2a√t, make t the subject:

${ \tt{x = 2a \sqrt{t} }} \\ \\ { \tt{ \sqrt{t} = \frac{x}{2a} }} \\ \\ { \boxed{ \tt{t = \frac{ {x}^{2} }{4 {a}^{2} } }}}$

• then find y:

${ \tt{y = {ar}^{2} - 2at}} \\ \\ { \tt{y = {ar}^{2} - 2a( \frac{ {x}^{2} }{4 {a}^{2} } ) }} \\ \\ { \boxed{ \tt{y = {ar}^{2} - \frac{ {x}^{2} }{2a} }}}$

6 0

2 years ago

How in the world do I answer this problem??

galben [10]

Answer:

Step-by-step explanation:

ST is y and SU is 2y-4.

Note that SU = ST + TU = y + 18

So we have 2y - 4 = y + 18

2y - 4 = y + 18

2y = y + 22

y = 22

So ST is 22.

4 0

2 years ago