The expressions equivalent to given expression are:
8f+4g
4(2f+g)
4f+4f+4g
Further explanation:
We will check each expression by simplifying if it is equivalent to the given expression or not.
Given expression is:
Now we will compare each option with given expression
<u>1. 8f+2g</u>
This exprssion is not equivalent to given expression.
<u>2. 2f(4+2g)</u>
This expression is also not equivalent to given expression
<u>3. 8f+4g</u>
This expression is clearly equivakent to the given expression
<u>4. 4(2f+g)</u>
This expression is also equivalent to given expression
<u>5. 4f+4f+4g</u>
This expression is clearly equivalent to given expression
So,
The expressions equivalent to given expression are:
8f+4g
4(2f+g)
4f+4f+4g
Keywords: Equivalent expressions, polynomials
Learn more about polynomials at:
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<em>26.</em>
Step-by-step explanation:
To figure out the missing side of a right triangle, we will use the Pythagorean theorem. This is...
With this Pythagorean theorem, a and b will always be the legs and the c will always be the hypotenuse, no matter what. Now knowing this, we can plug the legs into the equation.
Add the legs together.
Now, since c is squared we will have to find the square root of 676.
= <u>26</u>
Answer:
JM = 7
Step-by-step explanation:
Triangles LMN and LJK are similar, so corresponding sides have teh same ratio:
LM/MN = LJ/JK
14/(JM+3) = (14 +JM)/15
210 = (JM +3)(JM +14) . . . . . multiply by 15(JM +3)
JM² +17JM -168 = 0 . . . . . . . subtract 210; put in standard form
(JM +24)(JM -7) = 0 . . . . . . factor
The values for JM that make this true are 7 and -24. The length must be positive, so ...
JM = 7
Positive. The distance from a number to zero is always positive
Answer:
Elena's run for 1.17 miles in ten minutes
Step-by-step explanation:
From the question
y = 8.5 x ; where x is Distance in miles, and y is time in minutes
and y= 10 minutes
thus on substituting the respected values we get
10 = 8.5 x
⇒ x = 
= 1.17 miles
Therefore Elena's run for 1.17 miles in ten minutes
