We are given
Vertical asymptotes:
Firstly, we will factor numerator and denominator
we get

We can see that (x-3) is common in both numerator and denominator
so, we will only set x+3 to 0
and then we can find vertical asymptote


Hole:
We can see that (x-3) is common in both numerator and denominator
so, hole will be at x-3=0

Horizontal asymptote:
We can see that degree of numerator is 2
degree of denominator is also 2
for finding horizontal asymptote, we find ratio of leading coefficients of numerator and denominator
and we get
y=1
now, we can draw graph
Graph:
If two triangles are similar, then their side lengths are proportional.
RS / JK = RT / JL
5 / x = 4 / 7
4x = 35
x = 35/4 = 8.75
RT / JL = TS / LK
4 / 7 = 6 / (y + 2)
42 = 4(y + 2)
42 = 4y + 4
4y = 38
y = 38/4 = 9.5
LK = 9.5 + 2 = 11.5 cm
JK = x = 8.75
Hope this helps!
Answer:
Step-by-step explanation:
14/15 - 1/3
= 6/10
In simplest form
= 3/5
Answer:
(x + 5)(x + 10) = 0
Step-by-step explanation:
When you solve for the equation:
, you get that the answer is
.
<em>Hope this helped!!</em>
First we expand the brackets:
-2a + 8 + 6a = 36
4a + 8 = 36
We then need to get the a's onto one side and the numbers onto the other:
4a = 28
We can then divide to get an x by itself:
a = 28/4 = 7