First of all, if we want to graph this we will need to make it into slope intercept form
2x - y = 3
add y to both sides
2x = y + 3
subtract 3 from both sides
2x - 3 = y
flip the equation
y = 2x -3
we now know that the y-intercept is at (0, -3)
using that we plot the first point
The slope is 2
(this means up 2 over 1)
using that we make a line
(I'm sure you can graph it ;D)
Hope this helps :)
Answer and Explanation:
If the rectangle is dilated by a scale factor of 2, that means that all of its sides are doubled.
(a) Originally, AB = CD = 15
So, we just multiply 15 by 2: 15 * 2 = 30. Now, A'B' = C'D' = 30 cm
Originally, AC = BD = 8
We just multiply 8 by 2: 8 * 2 = 16. Now, A'C' = B'D' = 16 cm
(b) Basically, the drawing will be of a new rectangle with dimensions of 30 cm by 16 cm.
Multiply both sides by 8 to cancel out the fraction. this comes to 24<5+p. add 5 to both sides. answer: 29<p. Hope this helps!!
The given polynomial is
→ 6 ac - 15 a d- 8 b c + 2 b d
→ 3× 2×a×c - 3×5×a×d - 2×2×2× b×c + 2×b×d
→ 3 a ( 2 c -5 d) - 2 b(4 c -d)
The perimeter of a semicircle consists of two parts. (the curve and bottom)
That curve is half the distance around the circle, since it's been split in half.
The distance around a circle, the circumfrence, is equal to 2πr, where r is the radius of that circle. In this case, the circumfrence of the entire circle would be 16π. and so that curve would have a length of just 8π.
Using 3.14 for π, 8π = 8×3.14 = 25.12.
As for the flat part, that is the diameter (distance across) our circle.
The radius is the distance from the center of a circle to its edge, and always has half the length of the diameter. (you can break the diameter down into two radii)
If our radius is 8 meters, our diameter (the flat part of that semicircle) must be 16.
Now we add up the two parts of the perimeter...25.12 + 16 = 41.12.
