Answer: a. 30x^2 − 26x − 12
First write the equation in a form to better help visualize.
(5x - 6)(6x + 2)
Then use distributive property on the second binomial from the first binomial. <em>You multiply 5x by 6x and 2, then multiply -6 by 6x and 2.</em>
5x * 6x = 30x^2 (The answer is raised to the power of 2 because you're adding the invisible exponents, aka exponents of 1)
Then multiply 5x by 2
5x * 2 = 10x
Then you repeat the process but with -6 instead of 5x.
-6 * 6x = -36x (It is not raised to a power of 2 because -6 does not have a variable to include the invisible exponent)
-6 * 2 = -12
Now take all of your answers and put them into 1 equation by the order you did them.
30x^2 + 10x - 36x -12
But wait! The answer can still be simplified. All you have to do is combine like terms. <em>However 30x^2 can't be combined with 10x because 10x isn't raised to the second power, terms can only be combined if they have the same variable and exponent.</em>
30x^2 + (10x - 36x) - 12
30x^2 - 26x - 12
Answer:
A quadrilateral become square if all the sides joining the co-ordinate of quadrilateral is equal
Step-by-step explanation:
Here the given co-ordinate of quadrilateral are
G (3, -1) O(1, -6)
L(-4, -4) F(-2, 1)
Line GF = 
GF = 
Similarly for line OG, OL, FL
OG = 
OG = 
OL = 
OL = 
And
FL = 
FL = 
all the sides of quadrilateral GF, OG, OL, FL all equal to 
As all the sides are equal so quadrilateral become square Answer
Given:
A figure of dilation and the center of dilation is O.
To find:
The value of y.
Solution:
The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).



Where, k is the scale factor or constant of proportionality.
So, the scale factor for the given dilation is



We know that,




Divide both sides by 9.



Therefore, the value of y is 12.
A. 11 years old
11 x 2 = 22 - 3 = 19 + 11 = 30
Mike was 3 years TWICE Jasmines age and they made 30 years together
The number pattern would be 8x5 because each starfish has five arms. The answer is 40