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2 years ago

11

The Owens family has saved up $50,000 for a down payment on a house. They are going to use this money as the %10 down payment th

eir lender is requiring them to make to purchase the house. What is the price of the house that the Owens family is buying

1 answer:

fenix001 [56]2 years ago

4 0

The price of the house is $500,000.

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Find two numbers such that the sum of their squares is 100. The square of the larger number is equal to the sum of the product o

Shtirlitz [24]

Answer with Step-by-step explanation:

Let x and y are two numbers

According to question

$x^2+y^2=100$ ....(1)

Suppose x is larger than y

$x^2=x(4y+8x)$

$x=4y+8x$

$x-8x=4y$

$-7x=4y$

$y=-\frac{7}{4}x$

Substitute the value of y

$x^2+(-\frac{7}{4}x)^2=100$

$x^2+\frac{49}{16}x^2=100$

$\frac{16x^2+49x^2}{16}=100$

$\frac{65}{16}x^2=100$

$x^2=\frac{16\times 100}{65}$

$x=\sqrt{\frac{1600}{65}}=\frac{40}{\sqrt{65}}=\frac{40}{65}\sqrt{65}=\frac{8}{13}\sqrt{65}$

$y=-\frac{7}{4}\times \frac{8}{13}\sqrt{65}=-\frac{14}{13}\sqrt{65}$

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2 years ago

6 Which expression below has a coefficient of 3?

geniusboy [140]

option c is the correct cofficient of 3

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3 years ago

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True or False: A relation passing the horizontal line test is a function.

rosijanka [135]

Answer:

True.

Step-by-step explanation:

Remember that the horizontal line test checks if a function is one-to-one. If a horizontal line passes through a graph more than once, the function has more than one x-value for at least one y-value.

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3 years ago

A Ferrari drove 300 kilometers in one and a half hours. How fast was the car going?

irga5000 [103]

I'm assuming you mean how many mph when you refer to how fast the car was going.

So 300 km = 1.5 hrs

1.) Find the number of km per hour
Since we have the equation 300km = 1.5hr, we can just divide 1.5 (to isolate the number of hours) on both sides.

You should get 200 km = 1 hour

2.) Convert km to miles
To do this, you must know the conversion 1 km = 0.621371192 miles

So to convert 200 km to miles, just multiply 200 x 0.621371192.

You should get 124.274238.

That means the Ferrari drove at a pace of roughly 124 mph :)

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Is it essary to rename 4 1/4 if you subtract 3/4 from it.

Archy [21]

No . because you would then have 2/4 which is 1/2 50%

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3 years ago