If the number is x, then:
6x+1= (x-1)^2
Now we just need to simplify it
6x+1=(x-1)*(x-1)
6x+1=x^2-2x+1
8x=x^2
8=x
The number is 8.
To check the answer
6*8+1=7^2
49=49
correct :)
Length of square side= 2 cm
Dilation factor= 7/3
Simplify 7/3= 2.33
Apply the dilation factor:
Length of side= 2.33 x 2 = 4.67 cm
As the length of the side of the square is increased in length, which means the dilated image is larger than the original image.
Answer: Larger than then original.
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>
Plug the equation into the above equation
Subtract both sides by 7
Divide both sides by 3 to isolate x
Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>
Plug in x as 12
Subtract both sides by 12 to isolate y
Therefore, the greater number equates to 31.
I hope this helps!
Answer:
35 more cars
Step-by-step explanation:
17, 14, 19, 21, 27, 22, 20 add all of these numbers together
= 140
140 / 7 (number of days) = 20
25 x 7= 175
175 - 140 =35
Okay you have 2 sum unknow lets call them X+Y
so X+Y=33, 4X=108
Get X by it self then plug it in 4X=108
X=-Y+33
4(-y+33)= 108
-4y+132=108 Then subtract the 132
-4y=-24 Y=6 then to find X subtract 33-6=27
Y=6 X=27 if you check it works out
