Solution-
We can solve this problem by using the concept of slope.
Slope of a line joining two points A (x1,y1) and B (x2,y2) is given by-
slope of AB= (y2-y1)÷(x2-x1)
We have given the vertices of a triangle as D(-4,1), E(3,-1) and F(-1,-4).
∴ slope of line joining D and E= (-1-1)÷(3-(-4))= -2/7
slope of line joining D and F= (-4-1)÷(-1-(-4))= -5/3
and slope of line joining E and F= (-4-(-1))÷(-1-3)= 3/4
∵ Two lines are perpendicular to each other if product of their slopes= -1
Statement 1 is wrong because, (slope of DE)×(slope of EF)=(-2/7)×(3/4)=-3/14≠ -1
Statement 2 is wrong because, (slope of DE)×(slope of DF)=(-2/7)×(-5/3) =10/21≠ -1
Statement 3 is wrong because,(slope of DF)×(slope of EF)=(-5/3)×(3/4)= -5/4≠ -1
∴Statement 4 is correct.
The answer is C. Your welcome
Answer:
Explained
Step-by-step explanation:
No, Multiplication does not always makes number bigger. When number is Multiplied by any number less than 1 the magnitude of the number decreases. Also any number multiplied by a negative number also reduces the number,
Example 5×2= 10 and 5×0.2= 1 clearly , 1<5
also, 5×(-2) = -10 which is also less than 5.
Well the square root of a number is a number times its self equaling the number you're getting the square root of. For example:
<span>√ 25
</span>
To get sqrt of 25 we need to find a number times its self that equals 25. Lets try 8.
8 x 8 = 64
Well thats much too high, We'll try a lower number.
4 x 4 = 16
Just a little higher.
5 x 5 = 25
Since 5 times itself equals 25 that makes it the sqrt.
So, the √ 25 is 5.
A and D
Explanation: I did this problem in khan academy
