Answer:
15
Step-by-step explanation:
using the rule of exponents
=
=
=
= 15
Line segment LM is dilated to create L'M' using point Q as the center of dilation and a scale factor of 2.
2 answers:
Answer: 6 units
Step-by-step explanation:
Given: Line segment LM is dilated to create L'M' using point Q as the center of dilation and a scale factor of 2.
Since in dilation , to calculate the distance of a point on image from center point we need to multiply scale factor to the distance of corresponding point on pre-image from center point .
Thus we have,
Hence, the length of segment QM' = 6 units.
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The algebraic expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)
<em><u>Solution:</u></em>
Given the statement:
Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen
Let us first understand the given statement,
Let the number be "x"
" sum of a number and four" means x + 4
"Three sets of a sum of a number and four" translated to 3(x + 4)
"sum of seven times the same number and thirteen" means 7x + 13
<em><u>Thus the algebraic expression for given statement is:</u></em>
<em><u>Using distributive property in above expression</u></em>
Therefore,
<em><u>Combine the like terms</u></em>
Thus the required expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)