Answer:
Since the value is always multiplied by the same factor(19), the relationship is proportional.
Step-by-step explanation:
To see if the equation represents a proportional relationship, we see if the division of y by x is always the same
So
Equal, so proportional
We have to determine if the functions are linear or not.
We can do this by rearranging the equations in this form:
where m and b are constants.
<em>NOTE: There are many ways to prove that a function is linear, but this is the easiest for this question. </em>
36.
As this function can not be written in the form y=mx+b, then it is not linear.
37.
This function is now in the form y=mx+b, where m=3/4 and b=-15. Then, this function is a linear function.
Answer:
36. Non-linear.
37. Linear.
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Both the first and second signs are negative,
Let α and β are the roots of the ,
then, we know that the relationship between the zeroes and coefficients of quadratic equations:
Since the product of roots is positive.
So, the signs of the factors will be one positive and one negative.
Hence, Option 'D' is correct.
Basically expand
use FOIL (a way to remember distributive property)
first outer inner last
that is th eorder to multiply them
First: x times 2x=2x²
Outer: x tmes 9=9x
Inner: -8 times 2=-16x
last: -8 times 9=-72
add them
2x²+9x-16x-72
2x²-7x-72
Answer:
B. The square's side length is between 5 and 6.
Step-by-step explanation:
We are given a square with vertices
A(0,0), B(5,2), C(3,7), and D (-2,5)
We solve using the Formula
√(x2 - x1)² + (y2 - y1)²
Where we have (x1, y1) and (x2, y2)
For AB
A(0,0), B(5,2)
= √(5 -0)² + (2 - 0)²
= √5² + 2²
= √25 + 4
= √29
= 5.3851648071
For BC
B(5,2), C(3,7),
= √(3 - 5)² + (7 - 2)²
= √-2² + 5²
= √4 + 25
= √29
= 5.3851648071
For A D
A(0,0),D (-2,5)
√(-2- 0)² + (5 - 0)²
= √-2² + 5²
= √4 + 25
= √29
= √5.3851648071
For CD
C(3,7), D (-2,5)
√(-2 - 3)² + (5 - 7)²
= √-5² + -2²
= √25 + 4
= √29
= 5.3851648071
The lengths of the sides of the square is equal to each other.
Therefore, the statement that is true about this square is option
B. The square's side length is between 5 and 6.