Step-by-step explanation:
<u>Given coordinates of the rectangle ABCD:</u>
- A(0, 0), B(a, 0), C(x, y), D(0, b)
Lets first find coordinates of C
We can see that A and B are on same line horizontally, so C and D will be on the parallel line
The distance AB and CD are equal also distance AD and BC are equal, therefore
- AB = a - 0 = a, CD = a
- AD = b - 0 = b, BC = b
<u>So the coordinates of C are:</u>
<u>Now the diagonals:</u>
- AC = √(a-0)² + (b-0)² = √a²+b²
- BD =√(0-a)² + (b -0)² = √a² + b²
Since AC = BD, we can state they are congruent
Answer:
400 + 10 + 7
Step-by-step explanation:
it could be 4 times 100 plus 10 times 1 plus 1 times 7
Answer:
y= -2/3x-2
Step-by-step explanation:
Since we have a point and a slope, we can use the point slope formula
m is the slope. In this case, m is -2/3
y1 is the y coordinate of the point. In this case, it is -2
x1 is the x coordinate. In this case it is 0.
We can substitute these values into the formula
y- -2= -2/3(x-0)
Distribute -2/3
y+2 = -2/3*x + -2/3*0
y+2= -2/3x+0
Subtract 2 from both sides. We want to get y by itself. This is because we want our line to be in y=mx+b form.
y+2-2= -2/3x+0-2
y= -2/3x -2
Given the root of -5+2i, we are asked to describe the best statement that describes the polynomial. The root -5+2i cannot exist without its conjugate root, -5-2i. Complex roots are always accompanied by at least 1 real root. Since there are only 3 roots, there should be one root only, hence the answer is B.<span>
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Answer:
D) 1/16
Step-by-step explanation:
use brackets
follow bedmas rule
B - brackets
E - exponent
D - division
M - multiplication
A - addition
S - subtraction
working is shown in the diagram.
