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enyata [817]
3 years ago
6

The set of odd numbers greater than 7 infinite or finite?

Mathematics
1 answer:
mars1129 [50]3 years ago
4 0
There are infinite odd numbers greater than 7

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Prove that lines 3x-4y=12 and 3y=12-4x are perpendicular.
Svetllana [295]

Answer:

see explanation

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes equals - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Consider the given equations

3x - 4y = 12 ( subtract 3x from both sides )

- 4y = - 3x + 12 ( divide terms by - 4 )

y = \frac{3}{4} x - 3 ← in slope- intercept form

with slope m = \frac{3}{4}

3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )

y = - \frac{4}{3} x + 4 ← in slope- intercept form

with slope m = - \frac{4}{3}

Then

\frac{3}{4} × - \frac{4}{3} = - 1

Since the product of their slopes = - 1 then the lines are perpendicular

3 0
2 years ago
Calculate the length of the circumference of a circle with radius of 4.5cm <br><br> Pie=3
Butoxors [25]
Circunference=2 times pi time r
if pi=3 and r=4.5
circunerence=2 times 3 times 4.5=3 times 2 tiimes 4.5=3 times 9=27
answer is 27cm

5 0
3 years ago
Read 2 more answers
How many solutions does the following system of equations have?
olganol [36]
The answer would be two
8 0
3 years ago
The equation t^3=a^2 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A
ankoles [38]

Answer:

     2√2

Step-by-step explanation:

We can find the relationship of interest by solving the given equation for A, the mean distance.

<h3>Solve for A</h3>

  T^3=A^2\\\\A=\sqrt{T^3}=T\sqrt{T}\qquad\text{take the square root}

<h3>Substitute values</h3>

The mean distance of planet X is found in terms of its period to be ...

  D_x=T_x\sqrt{T_x}

The mean distance of planet Y can be found using the given relation ...

  T_y=2T_x\\\\D_y=T_y\sqrt{T_y}=2T_x\sqrt{2T_x}=(2\sqrt{2})T_x\sqrt{T_x}\\\\D_y=2\sqrt{2}\cdot D_x

The mean distance of planet Y is increased from that of planet X by the factor ...

  2√2

8 0
2 years ago
Jenny runs a cake making business.  She receives an order for 6 carrot cakes. Here are the ingredients for 1 carrot cake. How mu
Ivahew [28]
Since the mix ingredient is 1 carrot cake, Jenny is going to need 6 mixed spices for 6 carrot cakes.
8 0
3 years ago
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