
To simplify the fraction, divide the numerator / denominator ( cancel ) by the highest common factor of 25 and 30, that is 5
=
in simplest form
The translation <u>3 units to the right and 2 units down the plane</u> will result in the coordinates D' (-1, 1),E'(-2, -1) and F' (1, -2)
<h3>
Translation of coordinates</h3>
Translation is a transformation technique used to change the position of an object on an y-plane.
For instance translating a coordinate (x, y) into (x-3,y -2) means a shift of the image <u>3 units to the right and 2 units down the plane. In </u>order to get the corresponding coordinates, we will subtract 3 from the x-coordinates and 2 from the y-coordinates.
Given the coordinate of the triangle DEF as shown;
ΔDEF
D(2, 3),
E(l, 1), and;
F(4, O)
The translation <u>3 units to the right and 2 units down the plane</u> will result in the coordinates D' (-1, 1),E'(-2, -1) and F' (1, -2)
Learn more on translation here: brainly.com/question/12861087
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Answer:
The equation that would be used for the zero product property on will be (x-5)(x-10)=0
Option B is correct.
Step-by-step explanation:
We need to solve the equation 
Solving the equation:

Now, we would factorise to find value of x

So, the equation that would be used for the zero product property on will be (x-5)(x-10)=0
Option B is correct.
Answer: y = -4x + 4
<u>Step-by-step explanation:</u>
use the product formula (ab' + a'b) to find the derivative:
x * (1 - 2x)³
a = x a' = 1
b = (1 - 2x)³ b' = 3(-2)(1 - 2x)²
= -6(1 - 2x)²
<u>ab' + a'b</u>
= x(-6)(1 - 2x)² + 1(x)
= -6x(1 - 2x)² + x
Plug in the given x-values to find the slope:
= -6(1)(1 - 2(1))² + (1)
= -6(-1)² + 1
= -6 + 1
= -5
Next, input the slope and the point into the Point-Slope formula:
y + 1 = -5(x - 1)
y + 1 = -4x + 5
y = -4x + 4