The function
is a line. As such, its domain and range is the whole real number set
, and it has no horizontal nor vertical asymptotes.
Moreover, there's no constant term, so it's x and y intercept is the origin (0,0).
Answer:
1. QS and RT= 15
2. Im not positive but I think it's TQ=18
Step-by-step explanation:
For question 1, you would do 6x+3=8x-1 and solve to get the result of x=2
Then you'd plug in 6 and get QS and RT=15
For the second one I am unsure because I wasn't positive how to solve but it seems like the side RQ might be 1/2 of TQ. Sorry if thats wrong I can try and help more if you need
Answer: 348 and 355
Step-by-step explanation:
Let two positive numbers are x and y
so,
when the difference is 7 then equation will become
x-y=7 Eq(1)
when product is 2439 then equation will become
x*y=2438 Eq (2)
By rearranging Equation (2)
x= 2438/y Eq(3)
Now put the value of x as in eq (3) in eq(1) to get y's value
(2438/y)-y=7
(2438-1)/y =7
2437 / y =7
2437/7 =y
y=348.14 approx 348
Put the value of y in Eq(1) for x
x-348=7
x=7+348
x=355
so the two positve numbers are 355 and 348
For Check
x-y=7
355-348=7
7=7
Answer:
Yes, Triangles ABE and CDB are similar by AA Similarity Postulate
Step-by-step explanation:
we know that
If two triangles are similar, then its corresponding angles are congruent
In this problem
Triangles ABE and CDB are similar by AA Similarity Postulate (the three interior angles are congruent)
Because
If BE is perpendicular to AD
then
BE is parallel to DC
therefore
m<EBA=m<DCB -----> by corresponding angles
m<AEB=m<DBC=90 ----> right angles
m<EAB=m<BCD -----> the sum of the interior angles of a triangle must be equal to 180 degrees
Answer:
YES
Step-by-step explanation:
It does
if you think about the difference between the first term of y and the first term of x it is 4. then you take the difference between the second term of y and the second term of x which is 7. Then take the difference between the third value of y and the third value for x which is 10. The difference between those differences is 3 which is constant!
Hope that helps :)