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adoni [48]
3 years ago
10

Consider the equation 40x-25y=15

Mathematics
1 answer:
Tems11 [23]3 years ago
4 0

Answer:

The second equation can be written by equation (1) is given below

8x-5y=3

The two equations represents the same line and therefore they have an infinite number of solutions that are true for both equations.

Step-by-step explanation:

Given equation is 40x-25y=15\hfill (1)

To find the second equation to create the given system of equations to have infinitely many solutions :

The second equation can be written by equation (1) is given below

8x-5y=3

The two equations represents the same line and therefore they have an infinite number of solutions that are true for both equations.

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X^2+y^2=25 Y= 2x - 5<br>What are the x coordinates
weeeeeb [17]

Answer:

(0, -5) and (4, 3)

Step-by-step explanation:

I assume you're looking for the coordinates of the intersections, if any.

Solve by substitution:

x² + (2x − 5)² = 25

x² + 4x² − 20x + 25 = 25

5x² − 20x = 0

5x (x − 4) = 0

x = 0 or 4

So the coordinates are (0, -5) and (4, 3).

6 0
3 years ago
The function f(x) = -3cos(3x+ x/4 ) has amplitude of what
Pepsi [2]

Answer:

amplitude = 3

Step-by-step explanation:

The standard form of a cosine function is

f(x) = a cos(bx + c) + d

amplitude = | a |, period = \frac{2\pi }{b}

phase shift = - \frac{c}{b}, d is the vertical shift

Given the above function, then

amplitude = | - 3 | = 3

5 0
3 years ago
Two long conducting cylindrical shells are coaxial and have radii of 20 mm and 80 mm. The electric potential of the inner conduc
Marianna [84]

Answer:

v = 1.45 × 10⁷ m/s

Step-by-step explanation:

Given:

Inner radius of the cylinder, r₁ = 20 mm = 0.2 m

outer  radius of the cylinder, r₂ = 80 mm = 0.8 m

Potential difference, ΔV = 600V

Now, the work done (W) in bringing the charge in to the inner conductor

W = \frac{1}{2}mv^2

where, m is the mass of the electron = 9.1 × 10⁻³¹ kg

v is the velocity of the electron

also,

W = qΔV

where,

q is the charge of the electron = 1.6 × 10⁻¹⁹ C

equating the values of work done and substituting the respective values

we get,

qΔV =  \frac{1}{2}mv^2

or

1.6 × 10⁻¹⁹ × 600 = \frac{1}{2}\times 9.1\times 10^{-31}v^2

or

v = \sqrt\frac{2\times 600\times 1.6\times 10^{-19}}{9.1\times 10^{-31}}

or

v = 14525460.78 m/s

or

v = 1.45 × 10⁷ m/s

7 0
3 years ago
A random sample of records of electricity usage of homes in the month of July gives the amount of electricity used and size (in
pickupchik [31]

Answer:

E) They are using less electricity than expected.

Step-by-step explanation:

The residual mean value is the observed value minus the predicted or expected value. If it is negative it means that the expected value of electricity usage is higher than the observed electricity usage value, so they are using less electricity than expected.

6 0
4 years ago
Read 2 more answers
The base length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle?
bagirrra123 [75]

Answer:

4 sq ft

Step-by-step explanation:

1/2 x 4 x 2

8 0
3 years ago
Read 2 more answers
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