Answer:
a=(2/5), b = (-2,6)
Step-by-step explanation:
well slope formula is rise/run. So for the first one you start at the point rise 2 run 5 and you reach the endpoint. That is how you know you got the correct slope. (2/5)
For the second one you start at the first point and you cannot go up because it is a negative slope you run 6 till you hit the other point go down 2. Since you go down 2 that would make it -2. (-2,6)
Answer:
Alison wins against Kevin by 0.93 s
Step-by-step explanation:
Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration 
, we have the following equation of motion
where s (m) is the total distance, ta = 3 s is the time
Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration 
, we have the following equation of motion:
tk = 4 s is the time
Since we can conclude that 
, so Alison would win.
The time it takes for Alison to cover the entire track
The time it takes for Kevin to cover the entire track
So Alison wins against Kevin by 6.93 - 6 = 0.93 s
4x - 5y = -15
y = -3x + 22
Plug in your y= equation into the y variable in the other equation
4x - 5 (y) = -15
^^
y = (-3x + 22) = -15
4x - 5 (-3x + 22) = -15
Distribute
4x + 15x - 110 = -15
Combine like terms and add 110 over to -15
19x = 95
Then, divide the whole equation by 19
x = 5
Then, plug in your x into your y= equation
y = -3 (5) + 22
y = -15 + 22
y = 7
<em><u>x = 5</u></em>
<em><u>y = 7</u></em>
<em><u>(5, 7)</u></em>
Answer:
Approximately 15.05 ft
Step-by-step explanation:
You need to use tangent for this question.
Since tan θ = 
to find the Opposite, we need to rearrange the equation to:
Adjacent × tan θ = Opposite.
So if you insert 62 for θ and 8 feet for Adjacent, you will get:
8 × tan(62) = Opposite.
and you will get approximately 15.05 feet for your Opposite side
Order of Operation is commonly referred to as PEMDAS, an acronym for "Please excuse my dear aunt Sally," which references the order in which operations should be calculated when solving a math problem.
P = parentheses
E = exponent
M = multiply
D = divide
A = add
S = subtract
So you don't always have all of these components, but you consider the ones present in the problem in front of you. If there is no multiplication, but there is division and a set of parentheses, then you FIRST solve what's inside the parentheses, then you divide. If you have some examples, I'll show you.
