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3 years ago

Choose the number sentence that illustrates the distributive property of multiplication over addition.

Mathematics

1 answer:

Ratling [72]3 years ago

6 0

Answer:

One number sentence shows the distributive property of multiplication over addition. ... (5 + 4) × 3 = (5 × 3) + (4 × 3) is an example of the distributive property. (5 − 4) × 3 = 1 × 3. 1 × 3 is not equal to (1 × 3) − (1 × 3).

Step-by-step explanation:

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3 years ago

S is inversely proportional to t<br> When s = 0.5, t = 7<br> Work out s when t = 0.8

defon

Given:

s is inversely proportional to t.

When s = 0.5, t = 7.

To find:

The value of s when t=0.8.

Solution:

s is inversely proportional to t.

$s\propto \dfrac{1}{t}$

$s=\dfrac{k}{t}$ ...(i)

Where, k is the constant of proportionality.

Putting s=0.5 and t=7, we get

$0.5=\dfrac{k}{7}$

$0.5\times 7=k$

$3.5=k$

Putting k=3.5 in (i), we get

$s=\dfrac{3.5}{t}$

This is the equation of proportionality.

Putting t=0.8, we get

$s=\dfrac{3.5}{0.8}$

$s=4.375
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Therefore, the value of s is 4.375 when t=0.8.

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2 years ago

What is the equation of a line with a slope of -2 that passes through the point (-2,12)?

slavikrds [6]

Answer:

y=-2x + 8 which is the required equation

Which is option C

Step-by-step explanation:

Given:

Slope = m = -2

Given points are ( -2,12)

Which is

x = -2 and y =12

TO find:

Equation of line passing through these points = ?

Solution:

The point slope form of a line is

y = mx + c

Here we don't know the value of c

To find it

Putting y = 12 , x= -2 and y = -2 in the given equation

y = mx + c

Putting values it becomes

12 = (-2)*(-2) + c

12 = 4 + c

Subtracting 4 from both sides

12-4 = 4 -4 + c

8 = c

Now we have

m = -2 and c= 8

So equation of a line is given by

y = mx + c

Putting value of m and c

y = -2*x + 8

y=-2x + 8 which is the required equation

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2 years ago

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