Answer:
The answer is: y = 2/3x - 3
Step-by-step explanation:
Given point: (3, -1)
Given equation: y = 2/3x - 5, which is in the form y = mx + b where m is the slope and b is the y intercept.
Parallel lines have the same slope. Use the point slope form of the equation with the point (3, -1) and substitute:
y - y1 = m(x - x1)
y - (-1) = 2/3(x - 3)
y + 1 = 2/3x - 6/3
y + 1 = 2/3x - 2
y = 2/3x - 3
Proof:
f(3) = 2/3(3) - 3
= 6/3 - 3
= 2 - 3
= -1, giving the point (3, -1)
Hope this helps! Have an Awesome Day!! :-)
Answer:
Step-by-step explanation:
The given expression to us is ,
Now take the LCM as ( x - 1 ) and Simplify , we have ,
Simplifying further , we get ,
Hence the second option is correct .
Answer:
q = log4 / log0.53
q = -2.189
Step-by-step explanation:
(0.53)^q = 4
Taking log of both sides!
q log 0.53 = log 4
q = log 4 / log 0.53
q = 0.602 / -0.275
q = - 2.189
This can be checked to confirm correctness.
Substituting q = -2.189
(0.53)^ -2.189 = 1/ 0.249
= 4.01 Proved!
(Note that the "1" is because of the negative sign)
Exponent is the expression in where you convert product factor expression into a shorter expression. So really you use it to make the question simpler and shorter(easier to understand).
Answer:
<h2>x = 10</h2>
Step-by-step explanation:
If the triangles are similar, then the corresponding sides are in proportion:



<em>cross multiply</em>
<em>use distributive property </em><em>a(b + c) = ab + ac</em>

<em>subtract 20x from both sides</em>
