Answer:
Step-by-step explanation:
Which statement is true about the graphs shown? A) Only graph A represents a proportional relationship. B) Only graph B represen
ts a proportional relationship. C) Graph A and graph B both represent a proportional relationship. D) Graph A and graph B both represent a non-proportional relationship.
2 answers:
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Answer:
1)
2)
3)
4) 40
5)
Step-by-step explanation:
1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:
2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:
3) Apply the Distributive property and the Product property of exponents. Then, you obtain:
4) is a square of a sum, then, by definition you have:
Then:
The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40
5) Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:
Answer:
the correct options are:
(–1, 3), (–2, 2) and (–5, –1)
Step-by-step explanation:
Given that a line passes through two points
A(-2, -4) and B(4, 2)
Another point P(0, 4)
To find:
Which points lie on the line that passes through P and is parallel to line AB ?
Solution:
First of all, let us the find the equation of the line which is parallel to AB and passes through point P.
Parallel lines have the same slope.
Slope of a line is given as:
Now, using slope intercept form () of a line, we can write the equation of line parallel to AB:
Now, putting the point P(0,4) to find c:
So, the equation is
So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.
So, the correct options are:
(–1, 3), (–2, 2) and (–5, –1)