Go backwards with the problem. 4 times a number would mean 4x. 2 more means you're adding 2. so your answer should be 4x+2
For this case we have the following system of equations:
We multiply the first equation by -4:
We have the following equivalent system of equations:
We add the equations:
We find the value of the variable "x":
Thus, the solution of the system is:
See the graphic in the attached image
ANswer:
See the graphic in the attached image
Answer: Yes. The answer is: [C]: "1 " .
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Explanation:
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The equation for a line, in "slope-intercept format" , is:
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→ y = mx + b ;
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in which "b" = the y- intercept; or the value of 'x' when "y = 0" ;
"m" = the slope; which is also the coefficient of "x".
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In "slope-intercept format", the "y" remains isolated on the left-hand side of the equation, with no "coefficient" (other than the "implied coefficient" of "1").
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So, if the two particular lines are parallel, and we know that the slope is "1" for EACH line; (that is, "m = 1" for each line); then the PRODUCT of the two slopes is:
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→ m² = m * m = 1² = 1 * 1 = 1 .
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→ The answer is: Answer choice: [C]: "1" .
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54 pieces. Here is why:
1 yard = 3 feet
18 yards * (3 feet)/yard = 18*3 feet = 54 feet
Note that the yard units cancel out, leaving the answer in feet.
