16 2/3
you just need to multiply 4 1/6 by 4
Answer:
The third choice
Step-by-step explanation:
We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be 
, since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.
1. 4g= 37-5
⇒ 4g= 32
⇒ g= 32/4
⇒ g= 8
2. c= 5*6
⇒ c= 30
3. f+4= 3*5
⇒f+4= 15
⇒ f= 15-4
⇒ f= 11.
4. b+6= 30/5
⇒ b+6= 6
⇒ b= 6-6
⇒ b=0
5. a-5= 60/5
⇒ a-5= 12
⇒ a= 12+5
⇒ a= 17
6. e+2= 45/5
⇒ e+2= 9
⇒ e= 9-2
⇒ e= 7
7. d-5= 12/3
⇒ d-5= 4
⇒ d= 4+5
⇒ d= 9
8. m-4= 16/4
⇒ m-4= 4
⇒ m= 4+4
⇒ m= 8
9. q+6= 30/5
⇒ q+6= 6
⇒ q= 6-6
⇒ q= 0
10. h/3= 3+5
⇒ h/3= 8
⇒ h= 8*3
⇒ h= 24
11. 3c= 3-5
⇒ 3c= -2
⇒ c= -2/3
12. x/3= 6-7
⇒ x/3= -1
⇒ x= -1*3
⇒ x= -3
13. 6p= 2+1
⇒ 6p= 3
⇒ p= 3/6
⇒ p= 1/2
14. 2d-7= 27/3
⇒ 2d-7= 9
⇒ 2d= 9+7
⇒ 2d= 16
⇒ d= 16/2
⇒ d=8
15. b-3= 5/2
⇒ b-3= 2.5
⇒ b= 2.5+3
⇒ b= 5.5
16. y-1= 1/3
⇒ y= 1/3+1
⇒ y= 1 1/3
17. 5v= 9-3
⇒ 5v= 6
⇒ v= 6/5
⇒ v= 1.2
18. n-3 = 3*6
⇒ n-3= 18
⇒ n= 18+3
⇒ n= 21
19. t+10= 1*4
⇒ t+10= 4
⇒ t= 4-10
⇒ t= -6
20. 3c+4= 3*5
⇒ 3c+4= 15
⇒ 3c= 15-4
⇒ 3c= 11
⇒ c= 11/3
⇒ c= 3 2/3
Hope this helps~
Actually, this answer would be true. Why?
The first equation is: a(sub <em>n</em>) = 8, 13, 18, 23
The second is: a(sub 1)=8 ; a(sub <em>n</em>)= a(sub <em>n</em>-1)+5
if you wish to find the second term, plug two into the equation for <em /><em>n</em>
8+5=13
to find the third, plug the second term, 13, in for <em>n.</em>
13+5=18.
Hope this helped! I know it's a bit on the late side, but at least you can get the general idea!
Answer:
B'(16,14)
Step-by-step explanation:
First find the coordinates of the vertex B. The center of the square M is the midpoint of the diagonal AC. Since A(2,7) and C(8,1), the center has coordinates
Point M is also the midpoint of the diagonal BD. Let B has coordinates (x,y), then
Hence, B(8,7).
Now, the dilation by a scale factor 2 with the center of dilation at the origin has the rule
(x,y)→(2x,2y).
Thus,
B(8,7)→B'(16,14).
