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pickupchik [31]
3 years ago
12

Solving radical equationscheck for extraneous solutions

0%20%3D%20x%20%2B%203" id="TexFormula1" title=" \sqrt{2x + 30} = x + 3" alt=" \sqrt{2x + 30} = x + 3" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
nordsb [41]3 years ago
8 0
\bf \sqrt{2x+30}=x+3\impliedby \textit{we'll squares both sides}
\\\\\\
(\sqrt{2x+30})^2=(x+3)^2\implies 2x+30=x^2+6x+9
\\\\\\
0=x^2+4x-21\implies 0=(x+7)(x-3)\implies x=
\begin{cases}
-7\\
3
\end{cases}

I don't see  an extraneous value there, -7 checks out well if you plug it in the original equation, and so does 3.
Ksenya-84 [330]3 years ago
5 0
I don’t know this question
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#3 Can someone please help me with these questions!!!!
rosijanka [135]

Answer:

Option A 90,68

m\angle 1=90^o

m\angle 2=68^o

Step-by-step explanation:

see the attached figure to better understand the problem

The figure shows a kite

we know that

A kite properties include

1) two pairs of consecutive, congruent sides

2) congruent non-vertex angles

3) perpendicular diagonals

Find the measure of angle 1

we have that

m\angle 1=90^o ----> by the diagonals are perpendicular

Find the measure of angle 2

we know that

triangle AEB is congruent with triangle CEB

so

m\angle EAB=m\angle ECB=m\angle 2

In the right triangle EAB

m\angle EAB+22^o=90^o ----> by complementary angles in a right triangle

so

m\angle EAB=90^o-22^o=68^o

therefore

m\angle 2=68^o

7 0
3 years ago
Math question help please! 24 points
Mars2501 [29]
I think:
y= (25x-50)÷4
7 0
3 years ago
Suponha que uma variável assume os valores: 11 – 8 – 7 – a – 16 – 10 Determine a de modo que a média aritmética seja igual 11.
Elenna [48]

Answer:

a = 14  

Step-by-step explanation:

The mean is the sum of the values divided by the number of values.

\begin{array}{rcl}\text{Mean}&= &\dfrac{11 + 8 + 7 + a + 16 + 10}{6}\\\\\dfrac{52 + a}{6}& = & 11\\52 + a & = & 66\\a & = & 66 - 52\\& = & \mathbf{14}\\\end{array}

4 0
3 years ago
What method would you choose to solve the equation 2x^2-7=9
Margaret [11]
Here is one way to solve for x.

Step 1)  2x^2-7=9

Step 2)  2x^2-7+7=9+7

Step 3)  2x^2=16

Step 4)  (2x^2)/2=16/2

Step 5)  x^2=8

Step 6)  sqrt(x^2)=sqrt(8)

Step 7)  |x|=sqrt(8)

Step 8)  x=sqrt(8) or x=-sqrt(8)

-------------------------------------

Below are explanations/reasons to each of the steps above.

Step 1) Original equation

Step 2) Add 7 to both sides

Step 3) Combine like terms

Step 4) Divide both sides by 2

Step 5) Simplify

Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"

Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x

Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.

-------------------------------------

The two solutions are
x = sqrt(8) or x = -sqrt(8)

3 0
3 years ago
Which of the following functions is graphed below?
11Alexandr11 [23.1K]
We can't tell from the graph whether the left point of each step is included, or the right point. If the left, this is a graph of
  y = 7 + floor(x)
7 0
3 years ago
Read 2 more answers
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