Answer:
b = -6
Step-by-step explanation:
We use the general equation a*x^2 + bx + c = 0, the Quadratic Equation.
Compare it to 2x^2 - 6x - 20 = 0
b = -6 here
Answer:
A. 2x + 150y = 1,500
2x + 120y = 1,320
The flights were $300 each, and they stayed 6 nights.
B. $1,380
Step-by-step explanation:
Let x be the cost of the flight (in one side) and y be the number of nights on their vacation.
A. Brenda had a fancy room for $150 per night, then she paid $150y for y nights. Brenda's total is $1,500, then
Brenda's friend had a smaller room for $120 per night, then she paid $120y for y nights. Brenda's friend total is $1,320, then
Subtract two equations:
Substitute into the first equation:
Hence
2x + 150y = 1,500
2x + 120y = 1,320
The flights were $300 each, and they stayed 6 nights.
B. If a third friend joined them and stayed in a mid-range room for $130 per night, then he paid 
The total cost is
You said there were 40 yellow carsso 40×9 is 360
Answer:
The 3rd option
Step-by-step explanation:
To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.
This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent
We know that m<D=m<E
We also know that m<DCA=m<ECB because they are vertical angles.
Vertical angles are always congruent.
Therefore, the triangles are similar.
The correct similarity statement would be 1, since <D corresponds with <E.
Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.
A pair of alternate interior angles would be <D and B or or <E and <A
There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.
Hence, the correct choice would be 1 only.
When the signs of the two numbers are the same, the answer will be positive. When the signs of the two numbers are different, the answer will be negative.
