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: x = 1/2
<u>explanation</u>
subtract 3x from both sides
4x+8=10
subtract 8 from both sides
4x=2
divide both sides by 4
x=2/4
simplify
x=1/2 OR x=.5
hope i helped!
Answer:
18.84 estimated, 6π exactly
Step-by-step explanation:
Hi!
<u>The formula for finding the circumference of a circle is 2πr:</u>
In that case, all we need to do <em>first </em>is to divide the diameter by 2, so we can substitute that into the equation.
6 ÷ 2 = 3
So we have 2π × 3 to solve.
2π × 3 = 6π
We can estimate the circumference by multiplying by 3.14.
6 × 3.14 = 18.84
(actually multiplying by π gives 18.849... which is pretty close!)
Thus, the circumference is
.
Hope this helps!
From the given the option moved left 1 unit; reflected across the x axis is the correct.
what is function?
A function from a set X to a set Y in mathematics assigns each element of X exactly one element of Y. The set X is known as the function's domain, and the set Y is known as the function's codomain.
We have to describe the position of the function
relative to the basic function
.
Let the parent function is
.
After shifting one unit right it becomes,
.
After reflection in x axis it becomes,
.
Hence, from the given the option moved left 1 unit; reflected across the x axis is the correct.
To know more about function, click on the link
brainly.com/question/25638609
#SPJ1
Answer: y=2x+3
Step-by-step explanation:
y=mx+b
slope: 2
Y-intercept: 3
I'm sorry if this is wrong!