Answer:
Yes
Step-by-step explanation:
In the first equation, sub in (-3x/2) for y:
3x+4y=12
3x+4(-3x/2)=12
3x-(12x/2)=12
3x-6x=12
-3x=12
x=-4
y=-3x/2
y=-3(-4)/2
y=12/2
y=6
Since x=-4 and y=6, (-4,6) is a solution.
Answer:
Store C
Step-by-step explanation:
Simply divide the price by the amount to determine which store has the best price efficiency.
A : 12.99 / 100 = .129¢ per oz
B : 9.49 / 70 = .136¢ per oz
C: 10.98 / 90 = .122¢ per oz
Store C has the best price efficiency
Answer:
Proved
Step-by-step explanation:
Given: EC || AC, DB || AC, ∠A = ∠F
Prove: ΔMDF ∼ ΔNCA
Solution
See diagram attached to the solution to better understand the following workings.
Redrawing ΔMDF or rotating to be facing the same direction.
EC is parallel to AC
DB parallel to AC
Using similar triangle theorem:
If ΔMDF ∼ ΔNCA
Ratio of Corresponding sides would be equal
(adjacent of ΔMDF)/(adjacent of ΔNCA) = (Opposite of ΔMDF)/(opposite of ΔNCA) = (hypotenuse of ΔMDF)/(hypotenuse of ΔNCA)
DF/ CA = MD/NC = FM/AN
∠A = ∠F
∠M = ∠N
∠D = ∠C
Since the ratio of Corresponding sides and angle are equal, ΔMDF is similar to ΔNCA.
ΔMDF ∼ ΔNCA
Answer:
Step-by-step explanation:
Your welcome
Answer:
x = -12
Step-by-step explanation:
Set logs up on both sides-
log 16^x = log 64^x+4
The variable goes behind because of the exponent log <em>property</em> (exponents are permitted to go behind the log to multiply)-
x * log 16 = x + 4 * log 64
Divide both logs out-
log 64/log 16 = 1.5
Simplify-
x = x+4(1.5)
1.5x + 6 = x
Remove 1.5-
1 - 1.5 = -.5x
Simplify-
-.5x = 6
Divide both sides-
6/-.5x = -12
Hence, the answer would be -12
