Answer:
1st question: y=1/3x-1
2nd question: y=-2/3x+9
Step-by-step explanation:
Y=mx+b form is what you are using
when a line in parallel to a line they have the same slop wich is m
when a line in perpendicular they have the opposite reciprocal
Examples: 2/5 opposite reciprocal would be -5/2
Answer:
they need to sell 15,000 because 42 percent of 15,00 is 6,300+2500=800
the inequality should be. 2500+0.42s≥8,800
and the number line should have a closed point on 15,000 with the line pointing to the right
9514 1404 393
Answer:
(√7)/3
Step-by-step explanation:
The relationship between tangent and cosine is ...
tan(α) = √(1/cos(α)² -1)
The cosine of the angle is given as 3/4, so the tangent is ...
tan(arccos(3/4)) = √(1/(3/4)² -1) = √(16/9 -1) = √(7/9)
tan(arccos(3/4)) = (√7)/3
Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old
