Given:
The system of equation is
To find:
The solution of given system of equations.
Solution:
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
Write the given equation in slope intercept form.
The first equation is
...(i)
Here, slope is 
and y-intercept is 4.
The second equation is
...(i)
Here, slope is and y-intercept is -4.
Since the slopes of both lines are same but the y-intercepts are different, therefore the given equations represent parallel lines.
Parallel lines never intersect each other. So, the given system of equation has no solution.
Hence, the correct option is B.
__Data__
The equilateral's lengths are all the same
Also if AB = AD = BD = CD that would mean all those sides have the exact same length
Answers and Explanations
15A. BCD has 2 acute angles and one obtuse angle, so this is an Obtuse Triangle
15B. If beforementioned = 5 cm
Then the perimeter is 5cm x 3 = 15cm
15C. ABC is a Right Triangle
16. abcdef. Measure the angles using a protractor
17. The shortest side of ABC is AB which is 5cm, the longest is AC which is 10cm
Shortest side: Longest side
5cm:10cm
1:2 is the ratio
This problem is asking you to apply the *Pythagorean Theorem*, given the information you’ve been given.
In case you’ve forgotten, the Pythagorean Theorem states that, in any given right triangle, the sum of the squares of the lengths of its legs is equal to the square of the length of its hypotenuse (the side opposite its right angle). If we call the lengths of the legs a and b, and the length of the hypotenuse c, this can be expressed in notation as a^2+b^2=c^2 (it doesn’t matter in this case which leg you pick for a and which you pick for b). Here, if we choose the left leg as a and the bottom leg as b, we’re given that a^2 (the area of a square with sides of length a) is 25 sq. in, and b is 3.5 in. Plugging those values into the equation, we have:
25 + (3.5)^2 = c^2
From here, you don’t even need to solve for c, you just need to find the value of c^2 (since you’re trying to find the area of a square with side lengths c). Just solve the left side of the equation, and you’ll have your answer in square inches.
