Answer:
or 
Step-by-step explanation:
When given the following equation,
One must follow the order of operations to solve the equation and get a valid result. The order of operations states the following,
1. Parenthesis
2. Exponents
3. Multiplication/ Division
4. Addition/ Subtraction.
Normally, one would combine the terms in the parenthesis, but since they are unlike terms, one will have to undo the exponents first. Expand the binomial.
Now distribute, multiply every term inside the parenthesis by the term outside,
Simplify,
Inverse operations,
To simplify the equation, divide all terms by (2).
Factor, rewrite the quadratic equation as a product of linear equations,
Solve using the zero product property. The zero product property states that any number times zero equals zero,
Answer:
Line Segment EF passes through the center of the dilatation
Step-by-step explanation:
I just know...
<em>Six (6)</em> different pizzas can be made with one vegetable and one meat.
They are:
1). broccoli, pepperoni
2). broccoli, sausage
3). peppers, pepperoni
4). peppers, sausage
5). onions, pepperoni
6). onions, sausage
Estimate = 700 lbs
Real bear = 634 lbs
Difference = (700 - 634) = 66 lbs
The estimate is <em>66 pounds more</em> than the actual weight.
The estimate is 10.4% too high.
The actual bear weighs 9.4% less than the estimate.
Answer: Choice B) (24,10)
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Work Shown:
2x - 4y = 8
2( x ) - 4y = 8
2( 3y-6 ) - 4y = 8 ... notice x has been replaced with 3y-6
2(3y)+2(-6) - 4y = 8
6y-12 - 4y = 8
2y-12 = 8
2y-12+12 = 8+12 ... add 12 to both sides
2y = 20
2y/2 = 20/2 ... divide both sides by 2
y = 10
If y = 10, then
x = 3y-6
x = 3*10-6 ... replace y with 10
x = 30-6
x = 24
Put together, the solution is (x,y) = (24,10)
which is why the answer is choice B
As a check, we can plug (x,y) = (24,10) into each equation
x = 3y-6
24 = 3*10 - 6
24 = 30 - 6
24 = 24 ... true equation
and similarly for the second equation as well
2x-4y = 8
2*24 - 4*10 = 8
48 - 40 = 8
8 = 8 ... true equation
Both equations are true when (x,y) = (24,10) so the solution is confirmed
Answer:
x= 4
Step-by-step explanation:
