<h3>
Answer: 9</h3>
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Work Shown:
Apply the pythagorean theorem
a^2 + b^2 = c^2
12^2 + b^2 = 15^2
144 + b^2 = 225
b^2 = 225-144
b^2 = 81
b = sqrt(81)
b = 9
Answer:
Step-by-step explanation:
Given system of equations:
To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:
Factor the quadratic:
Apply the <u>zero-product property</u> and solve for x:
Substitute the found values of x into the <u>second equation</u> and solve for y:
Therefore, the solutions are:
Answer:
750 grams of 60% alloy
Step-by-step explanation:
Define x = amount of 60% alloy and y = amount of 20% alloy
Equating the amounts of gold:
0.6x+0.2y = 1000(0.5)
Since there must be 1000 grams total:
x+y = 1000
Writing the 2 resulting equations together:
0.6x + 0.2y = 500
x + y = 1000
Multiply the first equation by 5:
3x + y = 2500
x + y = 1000
Subtracting the 2nd equation from the 1st:
2x = 1500
x = 750
Answer: 750 grams of 60% alloy
Think the 4 less than but not equal to as a equal sign
step 1. isolate the variable ( variable must stand alone)
step 2. subtract 12n -12n=0
step 3. since you subtract 12n from the left you must do the same to the right.
step 4. 13n - 12n =1n
step 5. the equation should look like this -4 less than but not equal to 1n
step 6. isolate the variable n
step 6. divide 1n/1 on the right and on the left -4/1 it equals -4
so, n is -4
Vertex formula = -b/2a
-18/1 = 18.
However, this is just the x value, the vertex is (x,y)
-18*2 + 18(18) - 72 = 576
A) (18,576)
576 dollars made with 18 members is the highest amount made in one day.
B) (12,0) (6,0)
