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natita [175]
3 years ago
14

Considering the expression x/2 + y2. Which statements are true?Mark all that apply.

Mathematics
1 answer:
Svet_ta [14]3 years ago
7 0

Answer:

  D.  8/2 +(-10)² = 104

Step-by-step explanation:

To find which statements are true, evaluate the expression for the given variable values. You do this by putting the numbers in place of the respective variables, then doing the arithmetic.

The respective expression values are ...

  A 83 ≠ 37 . . . . (4/2) +9² = 2 +81 = 83

  B 31 ≠ 61

  C 52 ≠ 61

  D 104 =104 . . . . true statement

__

I find it less tedious to write a function into a calculator or spreadsheet and let it do the repetitive math. Examples of the calculation are shown above.

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Please help!!
yarga [219]

Because this is a fourth degree that will be tricky to factor as it is, we will do a u substitution. Let x^2=u. We can now rewrite that polynomial in terms of u: u^2-7u-8=0. Filling into the quadratic formula we have u=\frac{7+/-\sqrt{49-4(1)(-8)}}{2}. Simplifying down u=\frac{7+/-\sqrt{81}}{2} and u=\frac{7+9}{2} or u=\frac{7-9}{2}. That means that u = 8 or u = -1. But don't forget that we let u=x^2, so we have to put x-squared back in for u. That gives us x^2=8 which simplifies down to +/-2\sqrt{2}. That also gives us x^2=-1. When we take the square root of -1, we have to use the fact that -1 = i^2, so we sub that in to get x=+/-i. All in all, your solutions are as follows: 2\sqrt{2},-2\sqrt{2},i,-i which is choice b.

7 0
3 years ago
Which Expression is equivalent to 8x - 2y + x + x
Ray Of Light [21]
8x -2y + x+x simply combine like terms 8x+ x + x= 10x therefore 10x-2y is equivalent
4 0
3 years ago
Read 2 more answers
Simplify.
Dafna11 [192]

Answer:

C. 2x^2-7x+7

Step-by-step explanation:

(3x^2-2x+2)-(x^2+5x-5)     <em>Given</em>

From the given you will subtract like terms from both parenthesis.

3x^2-x^2=2x^2

-2x-5x=-7x

2-(-5)=7                      

6 0
2 years ago
1. Write a two-column proof.
Alexandra [31]

Answer:

Check it below, please

Step-by-step explanation:

Hi there!

Let's prove segment AB is perpendicular to CD. Attention to the fact that a two column proof has to be concise. So all the comments can't be exhaustive, but as short as possible.

Let's recap: An isosceles triangle is one triangle with at least 2 congruent angles.

Statement                     Reason

\overline{AB} \cong \overline{AC}\\                     Given

\widehat{ACB} \:bisects\: \overline{AB}        Isosceles Triangle the altitude, the bisector coincide.          

\overline{AD} \cong \overline{DB}               Bisector equally divide a line segment into two congruent      

m\angle CDA =m \angle CBD=90^{\circ} Right angles, perpendicular lines.                  

\overline{CD}\perp \overline{AB}                    Perpendicular Line segment      

8 0
3 years ago
I NEED HELP PLEASE, THANKS! :)
NISA [10]

Answer:   \bold{b)\quad \dfrac{2\pi}{3},\dfrac{4\pi}{3},0}

<u>Step-by-step explanation:</u>

Note the following identities: tan² x = sec²x - 1

                                                 \sec x=\dfrac{1}{\cos}

tan² x + sec x = 1

(sec² x -1) + sec x = 1

sec² x + sec x - 2 = 0

(sec x + 2)(sec x - 1) = 0

sec x + 2 = 0     sec x - 1 = 0

sec x = -2          sec x = 1

\dfrac{1}{\cos x}=-2\qquad \dfrac{1}{\cos x}=1\\\\\cos x=-\dfrac{1}{2}\qquad \cos x=1\\\\x=\dfrac{2\pi}{3}, \dfrac{4\pi}{3}\qquad x=0

8 0
3 years ago
Read 2 more answers
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