Answer:
False
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
= - 
Given a line with m = 
Then the slope of the line perpendicular to it is
= -
= - 
Answer:
235989936000
Step-by-step explanation:
To form 8 letter words from 30 letters
Using permutation :
nPr = n! ÷ (n-r)!
30P8 = 30! ÷ (30-8)!
30P8 = 30! ÷ 22!
30P8 = (30*29*28*27*26*25*24*23)
30P8 = 235989936000 words
Answer: True
Step-by-step explanation:
Given: The ratio of the number of boys to the number of girls at Liam's school is 4:5.
There are 270 students at his school.
Then, Total boys = 
Total girls =
Clearly, (Number of girls) > (Number of boys)
Difference = (Total girls) - (Total boys)
= 150-120
= 30
So, Statement 3: "There are exactly 30 more girls than boys". is absolutely true.
Answer:
vertex = (- 7, - 87)
Step-by-step explanation:
given a parabola in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - 
p² + 14p - 38 is in standard form
with a = 1, b = 14, c = - 38, hence
= -
= -7
substitute x = - 7 into the equation for corresponding value of y
y = (- 7)² + 14(- 7) - 38 = 49 - 98 - 38 - - 87
vertex = (- 7, - 87)