Answer:
y = 1/2x - 3
Step-by-step explanation:
the slope:
the equation:
with the point (4, -1)
I hope this help you
Answer:
ez no picture!!!!
Step-by-step explanation:
Answer:
264 yd³
Step-by-step explanation:
The volume of a triangular pyramid can be found using the formula ...
V = 1/2LWH
where H is the height of the triangular base.
V = 1/2(8 yd)(11 yd)(6 yd)
V = 264 yd³ . . . . volume of the prism
Answer:
-9
Step-by-step explanation:
x² -16 = (x -4)(x +4)
This magnitude of this product can only be prime if one of the factors is ±1. Any other integer value of x will produce a composite number (or zero).
... For x-4 = ±1, x = 3 or 5
... For x+4 = ±1, x = -3 or -5
The values of x that are ±3 both give |x²-16| = 7, a prime.
The values of x that are ±5 both give |x²-16| = 9, not a prime.
The two values of x that are of interest are x=-3 and x=3. Their product is ...
... (-3)·(3) = -9
Answer:
20 males and 7 females
Step-by-step explanation:
Let's say the number of females is x and the number of males is y.
We know that the total number of students is 27, which can also be written as x + y. So, these two expressions are equal: x + y = 27.
There are 13 fewer females than males, so: x = y - 13.
Now, we can use substitution to solve this system of linear equations.
Since x = y - 13, we can plug in y - 13 for x in x + y = 27:
x + y = 27 ⇒ (y - 13) + y = 27 ⇒ 2y - 13 = 27 ⇒ 2y = 40 ⇒ y = 20
Then, we use this value of y to solve for x:
x = y - 13 = 20 - 13 = 7
Thus, there are 20 males and 7 females.
Hope this helps!
