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3 years ago

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What is the solution to the equation

xFormula1" title=" - \sqrt{x + 10} = 7" alt=" - \sqrt{x + 10} = 7" align="absmiddle" class="latex-formula">

1 answer:

pentagon [3]3 years ago

5 0

The solution of your problem is shown on the picture below.

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"Find an integer, x, such that 5, 10, and x represent the lengths of the sides of an acute triangle.

Contact [7]

A, b, c - the lengths of the sides of the triangle
and a ≤ b ≤ c
then:
a + b > c and if the triangle is an acute triangle then a² + b² > c².

$1^o\\5\leq10\leq x\\\\\left\{\begin{array}{ccc}5+10 \ \textgreater \ x\\5^2+10^2 \ \textgreater \ x^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textless \ 15\\ x^2 \ \textless \ 125\end{array}\right\to\left\{\begin{array}{ccc}x \ \textless \ 15\\ x \ \textless \ \sqrt{125}\approx11.1\end{array}\right\\\\\boxed{x=11}\\\\2^o\\5\leq x\leq10\\\\\left\{\begin{array}{ccc}5+x \ \textgreater \ 10\\ 5^2+x^2 \ \textgreater \ 10^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x^2 \ \textgreater \ 75\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x \ \textgreater \ \sqrt{75}\approx8.7\end{array}\right\\\boxed{x=9}$

$3^o\\x\leq5\leq10\\\\\left\{\begin{array}{ccc}x +5 \ \textgreater \ 10\\ x^2+5^2 \ \textgreater \ 10^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x^2 \ \textgreater \ 75\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x \ \textgreater \ \sqrt{75}\approx8.7\end{array}\right\\\boxed{x\in\O}\\\\Answer:\boxed{x=9\ or\ x=11}\to your\ answer:\boxed{\boxed{x=11}}$

8 0

3 years ago

Read 2 more answers

What is the slope of a line that runs parallel to y = 2 x + 5?

Ganezh [65]

The equation "y=mx+b" is the slope-intercept forme of a line with slope "m" and y-interceptept (0,b)

In this case:
y=2x+5;
the slope "m" will be equato to : "2".

Answer: the slope is 2.

7 0

3 years ago

Read 2 more answers

Select the number that is the same as 29%.

vlada-n [284]

1/29 or 29/100 would be your awnser

5 0

3 years ago

Y =1/4x + 3<br> Y = -1<br> Help me

kap26 [50]

Y = 7

Explication pas à pas:

x est -3 donc -3 et connectez le x.

Y = -1 / 3 (-3) +5.

Y = 1 + 5

Y = 7

7 0

3 years ago

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 5 rows of the same length, he

timofeeve [1]

Answer:

33 chairs

Step-by-step explanation:

3 0

3 years ago