Answer:
2
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
Answer:
Whenever you assume values, try and make them as accurate as possible i.e. I am looking for consecutive even numbers so I will assume the values to be (2n - 2), 2n and (2n + 2)
s2−r2−q2=(2n+2)2−(2n)2−(2n−2)2s2−r2−q2=(2n+2)2−(2n)2−(2n−2)2
You get: 4n (4 - n)
So the solution must have 4 as a factor, which we see all options do.
To get -20, n(4-n) must be (-5). It will happen when n = 5.
To get 0, n = 0
To get 12, n(4-n) must be 3. It will happen when n = 3
To get 16, n(4-n) must be 4. It will happen when n = 2
There is no way n(4-n) could be 2 if n is an integer so 8 is not possible.Step-by-step explanation:
Top equation, minus 10 both sides to get
3x-2y=-10
bottom equation, minus 4x both sides
5y-4x=8
-4x+5y=8
now elimiate y's
multiply top equation by 5 and bottom equaiton by 2 and add them together
15x-10y=-50
<u>-8x+10y=16 +</u>
7x+0y=-34
7x=-34
divide both sides by 7
x=-34/7
sub back
3x-2y=-10
3(-34/7)-2y=-10
(-102/7)-2y=-10
add (102/7) to both sides
-2y=-10+(102/7)
-2y=(-70/7)+(102/7)
-2y=32/7
divide both sides by -2, or times both sides by -1/2
y=-32/14
y=-16/7
(x,y)
(-34/7,-16/7)
Answer:
Option (2)
Step-by-step explanation:
ΔDEF is a dilation image of ΔABC.
Rule for the dilation,
Scale factor = 
= 
= 
= 
Therefore, scale factor by which ΔABC is dilated is .
Option (2) will be the correct option.
