Answer:
Please see below.
Step-by-step explanation:
I will be using * to express multiplication, and ^ to express squares.
A) Can you find the area of the shape?
Yes, we can.
We can simply multiply 5x - 3 by 2x, as seen below.
(2x)(5x - 3)
2x * 5x = 10x^2
2x * -3 = -6x
Area = 10x^2 - 6x
B) Can you find the perimeter of the shape?
Yes.
Because a rectangle has two sets of equal sides, we can merely multiply the two given measurements by two and add them together to find the perimeter.
2x * 2 = 4x
2(5x - 3) = 10x - 6
4x + 10x - 6 = 14x - 6
Perimeter = 14x - 6
C) If x = 2, what is the area of the shape?
We can just plug in 2 wherever our x shows up.
5x - 3 = 5 * 2 - 3 = 10 - 3 = 7
2x = 2 * 2 = 4
7 x 4 = 28
We can also use our previous formula from A.
10x^2 - 6x
10 * 2^2 - 6 * 2
10 * 4 - 12
40 - 12
28
Our area if 28 if x = 2
Please let me know if any of these are incorrect.
Good for them ! They worked with things that are related to math
and arithmetic, they had some fun, and they learned something.
Much better than just fishing for answers on some boring website.
(2,5)(3,0)
slope = (0 - 5) / (3 - 2) = -5/1 or just -5
y = mx + b
slope(m) = -5
use either of ur points...(2,5)...x = 2 and y = 5
now we sub and find b, the y int
5 = -5(2) + b
5 = -10 + b
5 + 10 = b
15 = b
so ur equation is : y = -5x + 15
or if u need it in point slope form
y - y1 = m(x - x1)
slope(m) = -5
(2,5)...x1 = 2 and y1 = 5
now we sub
y - 5 = -5(x - 2)
Solve the equation for x by finding a,b, and c of the quadratic then apply the quadratic formula,
X=
The correct option is (A) Yes they are similar.
Explanation:
One quadrilateral (the red one) is the scaled version of the other quadrilateral (the blue one).
All you need is to reflect and dilate the blue one to make the red one.
Hence they are similar to each other. The question is asking about similarity; therefore the correct option is (A) Yes they are similar.