Find the value of x a. 65 b. 48.7 c. 77 d. 39.3
1 answer:
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The length of pencil A is 5 cm
<em><u>Solution:</u></em>
Let the length of pencil A be "x"
Let the length of pencil B be "y"
Let the length of pencil C be "z"
<em><u>The total length of pencils A, B and C is 29 cm</u></em>
Therefore,
length of pencil A + length of pencil B + length of pencil C = 29
x + y + z = 29 ------------ eqn 1
<em><u>Pencil A is 11 cm shorter then pencil B</u></em>
x = y - 11 ------- eqn 2
<em><u>Pencil B is twice as long a pencil C</u></em>
y = 2z
------ eqn 3
<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>
<em><u>Substitute y = 16 in eqn 2</u></em>
x = 16 - 11
x = 5
Thus length of pencil A is 5 cm
original slope = -4/3
parallel slope = -4/3
Explanation:For a line to be parallel to anpother line, the slope of both lines must be equal.
We need to find the slope of the given line by picking any two points on the line.
Using points (-6, 5) and (0, -3)
slope formula:
The equation of the given line: y = mx + b
b = y-intercept = -3
y = -4/3x - 3
The equation line parallel to the one above could be:
y = -4/3 x + 7
This because the slope are the same
original slope = -4/3
parallel slope = -4/3
plotting the graph of the lline parallel to the first one:
