Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points = 
Distance between A(0, -3) and C(2, 8),
AC = 
= 
= 
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD = 
=
=
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.
Answer:
the 3rd one
Step-by-step explanation:
Answer:
(6, 3)
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Alg I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
4x = 8y
2x + 5y = 27
<u>Step 2: Rewrite systems</u>
x = 2y
2x + 5y = 27
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute: 2(2y) + 5y = 27
- Multiply: 4y + 5y = 27
- Combine like terms: 9y = 27
- Isolate <em>y</em>: y = 3
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Plug in y into an original equation to find x.</em>
- Substitute: 4x = 8(3)
- Multiply: 4x = 24
- Isolate <em>x</em>: x = 6
I hope this helps you
2y=14y-36
14y-2y=36
12y=36
y=3
Answer:
D. Graph A
Step-by-step explanation:
First, notice the function can be factored easily:
So we can see that the function hits the y-axis at 2 points:
(-8,0) and (-2,0).
Which of the graphs in the picture show a parabola that hits the y-axis at those points? Graph A is the only option.
So the answer is D. Graph A
