Answer: y= x-2
Step-by-step explanation:
Perpendicularity entails the slope of line a is -1 divided by the slope of line b
m1= (-1/m2)
From y=Mx +c
We compare with x-4y=7
y=(1/4)x-7/4
Meaning m2= 1/4
m1= -1/(1/4)= -1*4= -4
((y-y1)/(x-x1))= ((y2-y1)/(x2-x1))=m1
x1= 2, y1= -4
((y-(-4))/(x-2))= -4
((y+4)/(x-2))= -4
Cross multiply
y+4= -4(x-2)
y= x-2
Answer:
<h2>
3,654 different ways.</h2>
Step-by-step explanation:
If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).
Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.
nCr = n!/(n-r)!r!
Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.
29C3 = 29!/(29-3)!3!
29C3 = 29!/(26!)!3!
29C3 = 29*28*27*26!/26!3*2
29C3 = 29*28*27/6
29C3 = 3,654 different ways.
This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders
C
length= 10 cm
width= 4 cm
height= 2 cm
10*4= 40
40*2= 80
Answer:
The girl which read 3/6 of a chapter book read more pages than the other girl.
Step-by-step explanation:
We need to compare between
so, the denominator of both fractions should be the same number
Factor of 6 = 1 * 2 * * 3
Factor of 8 = 1 * 2 * 2 * 2
-------------------------------------------
The common denominator = 1 * 2 * 2 * 2 * 3 = 24
Then compare between
So, the fraction of the great numerator will be the great fraction
∴
==================================================
<u>Another solution:</u>
Convert both fractions to decimal:
3/8 = 0.375
3/6 = 0.5
0.5 > 0.375
===================================================
<u>Third Solution: </u>
As the numerators are equal
The fraction of least denominator is the great fraction
So, 3/6 > 3/8
65,130 that should be the answer...