"The quotient of a number and -6, increased by 8, is -11."
1 answer:
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Since ABC is equilateral, all 3 sides have equal length. side AC is 8 units since side BC is 8 units.
Line BD is placed in the middle, making D the midpoint of side AC.
knowing this information we can determine that the length of DC is 4 units (half of AC)
since triangle BDC is a right triangle, we can use the side lengths in the pythagorean theorem to find the length of BD
a²+b²=c² where a & b = legs of triangle , and c= hypotenuse (longest side)
we are given the hypotenuse and found one leg so we can plug our values into the equation to find the third
4² + b²= 8²
16 + b² = 64
b² = 48
b =
b= 4√3 or about 6.928 units
hope this helped
The linear equation for the given situation is represented as:
20x + 12y = 1,300
correct answer option: b
<h3>What is a linear equation with two variables?</h3>A general linear equation in two variables is defined as an equation of the form ax + by + c = 0, where x and y are the two variables and a, b, and c are real numbers and a and b are non-zero (x and y).
Given:
We use variables to represent the cost of the big and the smaller boxes.
According to the question, let x be the selling price of the big boxes.
The selling price of the bigger boxes is y.
The total selling price of the smaller boxes is 20x.
The total selling price of the bigger ones is 12y.
Now we know he is making a profit of $1,300 on the total transaction.
Hence the linear equation in two variables for the given situation is represented as:
20x + 12y = 1,300
To learn more about linear equations in two variables visit:
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I understand that the question you are looking for is:
Jackson sells two types of toolboxes. he plans on selling them during a farming fair this weekend. He estimates he will sell 20 of the smaller boxes (X) and 12 of the larger boxes (Y). if he'd like the profit to be $1300, which of the following best displays the equation that represents this information?
A- y+12=20(x-1300)
B- y=- x+
C- 20x+12y=1300
D- 12y=20x-1300