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vagabundo [1.1K]
3 years ago
11

If b is between a and c then ab+bc=ac

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
3 0
That's false. Take the numbers 1, 3, and 5.
Let a = 1, b = 3, and c = 5.
ab + bc = ac
3 + 15 = 5
18 ≠ 5
Since 18 does not equal 5, this is false. If you were to use the distributive property on ab + bc = ac, you would get
b(a+c) = ac, which doesn't even make sense.
Have a nice day! :)
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How many solutions exist for the given equation?<br> 12x + 1 = 3(4x + 1) - 2
VladimirAG [237]

Answer:

Infinite

Step-by-step explanation:

3(4x + 1) - 2

= 12x + 3 - 2 (Multiply the sum in the bracket by 3)

= 12x + 1 (Simplify)

This means that:

12x + 1 = 3(4x + 1) - 2

is the same as

12x + 1 = 12x + 1

Hence, anything that is used to substitute x is correct.

4 0
3 years ago
The sum of two numbers is 35. The greater number is 4 less than twice the lesser number. What is the greater number?
zubka84 [21]

Answer: x=13

Step-by-step explanation: ?+?=35

(2x-4)+x=35

3x-4=35

3x=35+4

3x=39

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5 0
3 years ago
Draw a picture to show 3 5/6
Rina8888 [55]
Draw 4 circles and color one in 5/6

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Determine if equation has one solution ,no solution ,or an infinite number of solutions justify the answer
tangare [24]

Answer:

no solution

Step-by-step explanation:

- 4(x + 2) = - 4x - 5 ← distribute parenthesis on left side by - 4

- 4x - 8 = - 4x - 5 ( add 8 to both sides )

- 4x = - 4x + 3 ( add 4x to both sides )

0 = 3 ← False statement

This indicates the equation has no solution

8 0
2 years ago
If the initial velocity stays the same, but the height the projectile is launched from changes , how would the amount of time ch
pickupchik [31]

Answer:

Part A

The height to which the projectile reaches is given by the following formula;

\Delta y = y-y_0 = v_{0y} \times t-\dfrac{1}{2} \times g \times t^2

Where;

v_{0y} = The initial velocity of the projectile = Stays the same

y = The height the projectile reaches

y₀ = The height from which the projectile is launched

g = The acceleration due to gravity

t = The time taken

Given that the projectile has the same initial velocity, the variation of Δy with time, 't', will be the same when the project is launched from a different height, and the time change that it takes for the projectile to reach the maximum height will be the same for the previous launch height

Part B

From the change in eight of the projectile, Δy = y - y₀, the maximum height reached, 'y', is therefore given as follows;

y = Δy + y₀

The maximum height will increase by 'y₀', where 'y₀' is the difference between new height and the previous height, y_i

That is, if y₀ > y_i, the maximum height reached increases and if y₀ < y_i, y₀ will be added as y = Δy - y₀ and the maximum height reached decreases

Step-by-step explanation:

6 0
2 years ago
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