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3 years ago

What is the correct solution to (x+2)(x+5)

Mathematics

1 answer:

elena-s [515]3 years ago

7 0

Answer:

x^2+7x+10

Step-by-step explanation:

multiply the first by first and first by second

multiply the second by first and second by second

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An office building has two elevators. One elevator starts out on the 4th floor, 35 feet above the ground, as it's defending at a

Harman [31]

Answer:

The system of equations to represent the situation are $y = 35 - 2.2x$ and $y=1.7x.$

Step-by-step explanation:

Given:

An office building has two elevators.

One elevator starts out on the 4th floor, 35 feet above the ground, as it's defending at a rate of 2.2 feet per second.

The other elevator starts out at ground level and is rising at a rate of 1.7 feet per second.

Now, to write a system of equations to represent the situation.

Let the number of seconds for which the elevator is descending be $x\ seconds.$

So, the descended feet is $2.2x$ feet for $x\ seconds.$

As given the elevator is at 4th floor, 35 feet above ground.

Thus, from 35 feet the elevator has descended $2.2x$ feet for $x\ seconds$ .

Now, let the final position of elevator be $y.$

So, it would be:

$y = 35 - 2.2x.$

Now, as given the other elevator starts out at ground level and is rising at a rate of 1.7 feet per second.

So, the elevator has been raised $1.7x$ feet for $x\ seconds.$

As the elevator starts out at ground level.

Thus, $y=1.7x.$

Therefore, the system of equations to represent the situation are $y = 35 - 2.2x$ and $y=1.7x.$

8 0

3 years ago

You wish to use #18 tungsten wire at 20°C to make a 10 Ω resistor. What length of wire will be required for this job? Hint: Be s

MaRussiya [10]

Answer:

Length of the wire = 145.84 m

Step-by-step explanation:

Given : You wish to use #18 tungsten wire at 20°C to make a 10 Ω resistor.

To find : Length of wire will be required for this job.

Solution :

The #18 tungsten has a radius of $r=5.1\times10^{-4}m$ .

The resistivity of the tungsten at 20° is $\rho=5.6\times10^{-8}\Omega m$ .

The formula that relates resistance and resistivity is

$R=\rho\frac{L}{\pi r^2}$

where L is the length of the wire, R is the resistor, $\pi r^2$ its section and $\rho$ is the resistivity .

Now, we can calculate L :

$L=\frac{R\pi r^2}{\rho}$

$L=\frac{(10)(3.14)(5.1\times10^{-4})^2}{5.6\times10^{-8}}$

$L=\frac{816.714\times10^{-8}}{5.6\times10^{-8}}$

$L=\frac{816.714}{5.6}$

$L=145.84 m$

Therefore, Length of the wire = 145.84 m

6 0

3 years ago

All 136 students in the Math Club went on a field trip. Some students rode in vans which hold 8

IrinaK [193]

Answer: 3 buses, 2 vans
Explanation: let x be number of buses, y be number of vans,
136= 40x+8y
5=x+y
Use simultaneous equation,
136-8(5)= 40x +8y - 8(x+y)
96= 32x
x = 3
When x=3, y= 2

5 0

2 years ago

Please help if your good at maths :(<br>on the image <br>with the steps Please

lesya692 [45]

The answer might be 8

5 0

3 years ago

What is the inverse one to one function of f(x) = square root of x-2???

alexira [117]

$f(x) = \sqrt{x - 2} \\y = \sqrt{x - 2} \\y^{2} = (\sqrt{x - 2})^{2} \\y^{2} = x - 2 \\x^{2} = y - 2 \\x^{2} + 2 = y \\x^{2} + 2 = f^{-1}(x)$

6 0

3 years ago

What is the correct solution to (x+2)(x+5)​

What is the correct solution to (x+2)(x+5)