Collect like terms
-2x is the answer
Answer:
y = 2x - 1
Step-by-step explanation:
The given line is y = 2x - 6.
It is in the y = mx + b form, where m is the slope, so its slope is 2.
We need a line that passes through point P(3, 5) and has slope 2.
y = mx + b
Put the slope in m.
y = 2x + b
Use the given point with x = 3 and y = 5 and solve for b.
5 = 2(3) + b
b + 6 = 5
b = -1
The equation is
y = 2x - 1
The equation of a hyperbola is:
(x – h)^2 / a^2 - (y – k)^2 / b^2 = 1
So what we have to do is to look for the values of the variables:
<span>For the given hyperbola : center (h, k) = (0, 0)
a = 3(distance from center to vertices)
a^2 = 9</span>
<span>
c = 7 (distance from center to vertices; given from the foci)
c^2 = 49</span>
<span>By the hypotenuse formula:
c^2 = a^2 + b^2
b^2 = c^2 - a^2 </span>
<span>b^2 = 49 – 9</span>
<span>b^2 = 40
</span>
Therefore the equation of the hyperbola is:
<span>(x^2 / 9) – (y^2 / 40) = 1</span>
Answer:
when both bottom numbers on a fraction are the same at the lowest form
Step-by-step explanation:
example: 2/4 + 6/8 the common denomenator is 8 as both numbers go into it and you only have to times by 2 so answer would be 10/8 which is also 1 2/8