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Ray Of Light [21]
3 years ago
6

How do you know that substitution gives the answer to a system of equations?

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0
It gives the answer to a system of equations because it explains it
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Simplify 8 + 3{x - 2[x + 5(x + 3)]}.<br><br> -33x + 82<br> 33x - 82<br> -33x - 82
77julia77 [94]

Answer:

<h2>-33x - 82</h2>

Step-by-step explanation:

Use

PEMDAS:

P      Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

and the distributive property a(b + c) = ab + ac.

1)\qquad5(x+3)=5x+15\\\\2)\qquad x+5(x+3)=x+5x+15=6x+15\\\\3)\qquad2[x+5(x+3)]=2(6x+15)=12x+30\\\\4)\qquad x-2[x+5(x+3)]=x-(12x+30)=x-12x-30=-11x-30\\\\5)\qquad3\{x-2[x+5(x+3)]\}=3(-11x-30)=-33x-90\\\\6)\qquad8+3\{x-2[x+5(x+3)]\}=8+(-33x-90)=-33x-82

5 0
3 years ago
Simplify the expression: 15−3[2+6(−3)]
Sedaia [141]
The correct answer is 63 i hope this helps out, have a nice day!!!
6 0
3 years ago
Read 2 more answers
Help solving this math problem
daser333 [38]

Diagram of two triangles

The two triangles are similar because they are both right triangles, meaning that one angle is 90° and the other two are acute (less than 90°).

The diagram on the left is missing its hypotenuse - the variable <em>c</em><em>.</em><em> </em>The hypotenuse is opposite of the right angle. The diagram on the right side is missing one of its legs.

Note: The hypotenuse is the <em>longest</em><em> </em>side of a right triangle.

Word Problen

The legs are 21 blocks and 20 blocks because they are by the right angle. Use the Pythagorean theorem to find the diagonal path's length, which is the hypotenuse.

{a}^{2}  +  {b}^{2}  =  {c}^{2}

Standard form of Pythagorean theorem.

{21}^{2}  +  {20}^{2}  =  {c}^{2}

Equation with the legs substituted and the missing hypotenuse value - <em> </em><em>c</em><em>.</em>

841 =  {c}^{2}

Square the legs and add.

\sqrt{841}  = c

29 = c

Take the square root and simplify. The square root of 841 is 29 and -29, but distance is positive.

Thus the diagonal distance is 29 blocks.

Check by substituting.

5 0
3 years ago
-(x-4)=2x+6 <br><br> please show ur work too ill give brainiest + points
Olin [163]

Answer:

this is the answer, sorry it took a while

4 0
3 years ago
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At a wildlife preserve,
kakasveta [241]

Answer:

you have to add the numbers . when ever there is a total that means to add

Step-by-step explanation:

13+14=27

4 0
3 years ago
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