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Vilka [71]
3 years ago
13

In two or more complete sentences, explain how to solve the cube root equation,

%5D%7Bx%2B1%7D%20%2B2%3D0" id="TexFormula1" title=" \sqrt[3]{x+1} +2=0" alt=" \sqrt[3]{x+1} +2=0" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
nordsb [41]3 years ago
5 0
Isolate the root expression:

\sqrt[3]{x+1}+2=0\implies\sqrt[3]{x+1}=-2

Take the third power of both sides:

\sqrt[3]{x+1}=-2\implies(\sqrt[3]{x+1})^3=(-2)^3

Simplify:

(\sqrt[3]{x+1})^3=(-2)^3\implies x+1=-8

Isolate and solve for x:

x=-9

Since the cube root function is bijective, we know this won't be an extraneous solution, but it doesn't hurt to verify that this is correct. When x=-9, we have

\sqrt[3]{-9+1}=\sqrt[3]{-8}=\sqrt[3]{(-2)^3}=-2

as required.
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The amount of turn between two straight lines that have a common end point is called __________.
Anton [14]

Answer:

Angle

Step-by-step explanation:

In the image I added you can observe that the common endpoint is called a vertex, and<em> the "turn" or aperture formed between the two straight lines (or arms) that converge in the vertex, </em><em>is the angle</em><em> </em>and it can be measured on degrees.

I hope you find this information usefun and interesting! Good luck!

4 0
4 years ago
Mr.Gonzales showed student part of a prime factorization of 90. One factor is missing . What number completes this prime factori
Katarina [22]

Answer:

24

Step-by-step explanation:

8 0
4 years ago
Find all of the polar coordinates of point P if p=(1,-pi/6)
Mama L [17]

Answer:

The all polar coordinates of point P are  (1 , -pi/6 + 2nn) and (-1, -pi/6+(2n+1)n).

Step-by-step explanation:

The polar coordinates can be written as (r,Ф)= (r,Ф+2nn) or (r,Ф) =(-r,Ф+(2n+1)n) and n is any integer value.

We are given p=(1,-pi/6)

P(r,Ф), then r = 1 and Ф = -pi/6

The polar coordinates will be

P(r,Ф)= (r,Ф+2nn)  = (1 , -pi/6 + 2nn) and n is any positive integer and the value of r is positive.

P(r,Ф) =(-r,Ф+(2n+1)n) = (-1, -pi/6+(2n+1)n) and n is any positive integer and the value of r is negative.

The all polar coordinates of point P are  (1 , -pi/6 + 2nn) and (-1, -pi/6+(2n+1)n)

6 0
3 years ago
Read 2 more answers
I need help asap !!!!!!
OLEGan [10]

Answer:

B. ZJ = 85

C. KH = 68

Step-by-step explanation:

Given that ZK, ZL, ZM are perpendicular bisectors of ∆GHJ, they form a circumcenter which is equidistant from the vertices of ∆GHJ. According to the circumcenter theorem, ZH = ZG = ZJ = 85.

Also each median formed is equal. This means: KH = GH, LH = LJ, MG = MJ

Since HG = 136, KH = ½ of 136 = 68.

The two options that are true are:

B. ZJ = 85

C. KH = 68

4 0
3 years ago
9<br> 9. What is the slope of the line y = 3x + 2?
gregori [183]

Answer:

3

Step-by-step explanation:

this equation is written in the form of

y = mx + b

where m = slope

so the slope is 3

6 0
3 years ago
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