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3 years ago

This question is for only the smart students

1 answer:

7 0

5a−3b2(9)a4b6(3)a2b3(10)ab2=1350a7b13a3=1350a4b13

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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+4x-41=0$

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

3 years ago

One problem with the widespread use of email is that you receive too much of it.

Kobotan [32]

The answer for your question is True because it says that "Widespread" by that you already know widespread means that it goes every where and you would get it more then one so for that your answer is true:)

Hope this helps:)

6 0

3 years ago

If a car travels 180 km on 12 liters of gas, how many km per liter does the car get? Express in simplest form.

lora16 [44]

Answer:

5 kilo-meters per liter of gas

Step-by-step explanation:

180 divided by 12 would be 180 / 12 = 5 km per liter

(P.S., pls mark me brainliest, and have a nice day)

6 0

3 years ago

A juice shop needed 360 oranges to make 40 L of fresh-squeezed juice.

hoa [83]

D. 540

360/40=9
9•60=540

5 0

3 years ago

What letter stays the same when reflected over the x-axis

valina [46]

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:

6 0

2 years ago