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dedylja [7]
3 years ago
14

The vertex form of the equation of a parabola is y=(x+5)^2 + 49. What is the standard form of the equation

Mathematics
2 answers:
svet-max [94.6K]3 years ago
8 0
y=(x+5)^2+49\\
y=x^2+10x+25+49\\
y=x^2+10x+74
3241004551 [841]3 years ago
6 0

Answer:

y=x^2+10x+74

Step-by-step explanation:

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a how much will he have in 4. At the age of 30, Jasmine started a retirement account with $50,000 which compounded interest semi
Natalka [10]

Answer:

6795.70

Step-by-step explanation:

smart people

6 0
2 years ago
Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be
Oksana_A [137]
<h2>Hello!</h2>

The answers are:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

<h2>Why?</h2>

To calculate the speed of the cars, we need to write two equations, one for each car, in order to create a relation between the two speeds and be able to calculate one in function of the other.

So,

Tet be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

x_{FirstCar}=x_o+v*t

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

x_{SecondCar}=x_o+(v+14mph)*t

Now, from the statement that both cars met after 2 hours and 45 minutes, and the distance between to cover (between A and B) is 264 miles,  so, we can calculate the relative speed between them:

If the cars are moving towards each other the relative speed will be:

RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph

Then, since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we have:

2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours

Writing the equation:

264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph

So, the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph

We have that the speed of the second car is equal to 55 mph.

Hence, the answers are:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

Have a nice day!

7 0
3 years ago
Olive estimated it will take about 50 gallons of gas for the whole trip. Use the he equation to determine how much we will spend
Westkost [7]

Answer:

$175

Step-by-step explanation:

3.5 x 50 = $175

8 0
3 years ago
Please help :(( ive been stuck for a while and im super late
Degger [83]

Answer:

-5^11

Step-by-step explanation:

3 0
2 years ago
A 450-square-foot apartment in New York City cost $540,000. What is the price per square foot?
Vika [28.1K]
Maybe somewhere along 23000
4 0
3 years ago
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