Answer:
Slope: 3 Y-intercept: 6
Step-by-step explanation:
You want to put this equation into y=mx+b form so it's easier to tell.
Add 3x on both sides.
y = 3x + 6
The slope is always the coefficient (number) in front of the x in the y = mx + b form. 6 is the y-intercept (reason: the y-intercept is when x=0, and when you substitute 0 for x in this, you get y=6).
Answer:
Yes, it is possible
Step-by-step explanation:
In a triangle, the length of the longest side of the triangle cannot be larger than the sum of the lenghts of the two shortest sides.
In formula, this means that:
where
c is the length of the longest side
a, b are the lengths of the shortest side
In this problem, we want to build a triangle using 3 pieces of lumber, each of length:
a = 3 ft
b = 7 ft
c = 8 ft
We can verify that the length of the longest piece of lumber is less than the sum of the lengths of the other two sides, so:
Therefore, yes, it is possible to build a closed triangular pen.
Match the letters. Here's all I can think of:
PQ = TS
QR = SR
PR = TR
Angle P = Angle T
Angle Q = Angle S
Angle R = Angle R
Have an awesome day! :)
Answer:
x = 16 feet
Step-by-step explanation:
I'm guessing the shape given is a rectangle? Anyways, to find the area we multiply the sides, this gives us the equation:
(x - 12)(x - 5) = 44
We can distribute to get
x^2 - 12x - 5x + 60 = 44
x^2 - 17x + 60 = 44
Now, to get the equation equal to zero, we can subtract 44 from both sides:
x^2 - 17x + 16 = 0
To factor this, we are looking for two numbers that multiply to 16 and add up to -17. These two numbers are -1 & -16, therefore, the factored form is:
(x - 1)(x - 16) = 0
We can use the zero product property to say x = 1 and x = 16. We can cross out the solution x = 1, because when plugged in, we get side lengths less than one. So the sole answer is x = 16.
Answer:
3168
Step-by-step explanation:
Here, we have s combination problem as we are selecting. The question is quite straightforward.
What the director needs to do is simply select 10 males from the total 15 males and also select 8 females from the total 11 females and add the results.
To select 10 from 15, we simply compute as 15C10 which equals 3003 ways
To select 8 from 11, we simply compute 11C8 which equals 165 ways
We simply add both to get the numbers of possible casts which is 3003 + 165 = 3168 possibilities
