Answer:
-18/5 or - 3 3/5.
Step-by-step explanation:
-2/3 (x-3) - x = 8
-2/3x + 2 - x = 8
-2/3x - 3/3x = 8 - 2
-5/3 x = 6
x = 6 * -3/5
x = -18/5
Answer:
D) 82 units
Step-by-step explanation:
ΔBCD ≅ ΔEFG
In congruent triangles, corresponding parts are congruent
BD = EG
4x - 9 = 2x + 15
4x - 9 -2x = 15
2x - 9 = 15
2x = 15 +9
2x = 24
x = 24/2
x = 12
EG = 2x + 15 = 2*12 + 15
= 24 + 15
EG = 39 units
FE = CB = 17 units
Perimeter of ΔEFG = FE + EG + GF
= 17 + 39 + 26
= 82 units
y = (x^2 + 26x) +160 complete the square
y = (x^2 + 26x ) + 160
Split our the constant and use the (b/2)^2
y = (x^2 + 26x + (26/2)^2 ) + 160 - (26/2)^2
since I am adding the new value I must subtract it from the end to keep the balance
y = (x^2 + 26x + 169) + 160 - 169
Now factor parenthesis and combine like terms
y = (x+13)^2 -9 its in the vertex form
Answer:
Mark has 13 marbles
Don has 40 marbles
Step-by-step explanation:
Let the number of Mark's Marbles = M
Let the number of Don's Marble = D
D = 1 + 3M - - - - (1) (Don has 1 more than 3 times the number of marbles Mark has)
D + M = 53 - - - - - (2) (total number of marbles is 53)
puttin the value of D from equation (1) into equation (2)
(1 + 3M) + M = 53
1 + 3M + M = 53
1 + 4M = 53
4M = 53 - 1 = 52
4M = 52
M = 52 ÷ 4
M = 13
finding D by putting the value of M (M = 13) into equation 1
D = 1 + 3M - - - - (1)
D = 1 + 3 (13)
D = 1 + 39
D = 40
∴ Mark has 13 marbles
Don has 40 marbles
Answer:
The first equation must be multiplied by 18 and second equation must be multiplied by 8
Step-by-step explanation:
