Ratios and fractions are interchangeable (for the most part). A fraction is a type of ratio. And we've all worked with fractions before, so that's what we'll do here.
I can say that the ratio 3:1 is the same as the fraction 3 / 1. Using that fraction, it is fairly easy to find equivalent fractions.
3 / 1 = 6 / 2 = 9 / 3 = 30 / 10
...And so on
Another example, 5:6 = 5 / 6.
5 / 6 = 10 / 12 = 15 / 18 = 30 / 36
To find equivalent fractions, all you need to do is multiply both the numerator and denominator by the same number. As long as that number is the same (and your multiplication is correct), then the new fraction will be equivalent to the original.
Hope this helps!
F(x) is also known as y, so in this case, x is 3 and y is 7. Therefore, graph f passes through point (3,7).
All these equations are in the form of ax^2 + bx + c = 0, where a, b, and c are some numbers. the discriminants of equations like this are equal to b^2 - 4ac. if the discriminant is negative, there are two imaginary solutions. if the discriminant is positive, there are two real solutions. if the discriminant is 0, there is one real solution.
<span>x^2 + 4x + 5 = 0
</span>b^2 - 4ac
4^2 - 4(1)(5)
16-20
-4, two imaginary solutions.
<span>x^2 - 4x - 5 = 0
</span>b^2 - 4ac
(-4)^2 - 4(1)(-5)
16 + 20
36, two real solutions.
<span>4x^2 + 20x + 25 = 0
</span>b^2 - 4ac
20^2 - 4(4)(25)
400 - 400
0, one real solution.
Answer:
False
Step-by-step explanation:
the <u>dot product</u> between two vectors A and B is:
A·B=AB
where 
is the angle between the vectors, if they are parallel, this angle is zero. so 
and so the dot product is:
A·B =AB
and since 
the dot product is equal to
A·B=AB
The dot product of parallel vectors is NOT zero
Answer:
19
Step-by-step explanation:
114 divided by 6
