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3 years ago

Does it matter which way you subtract the values when finding distance? Explain

1 answer:

5 0

So long as you remember that distances are always zero or positive, the order in which you subtract one x-coordinate from another does not matter.

Example: |A-B| = |B-A|.

Communication of this situation is clearer, however, if you write algebraically larger x-coordinate first and the subtrahend second.

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A number has located a distance of 4 units from -3. <br><br> What could the number be?

zhannawk [14.2K]

The number could be -7 or 1

4 0

2 years ago

Suppose a radioactive substance has a half-life of 1000 years. What fraction will be left after 1000 years?

salantis [7]

Answer:

$\frac{1}{2}$

Step-by-step explanation:

The half life is the amount of time it takes a substance to decay to half of its original amount.

Since the radioactive substance has a half life of 1000 years, there will be half of it left after 1000 years.

So, the fraction that will be left after 1000 years is $\frac{1}{2}$

3 0

3 years ago

Read 2 more answers

Look at the rectangle and the square:

OlgaM077 [116]

Answer:

Sam is incorrect

Step-by-step explanation:

We can calculate the lengths of the diagonals using Pythagoras' identity.

The diagonals divide the rectangle and square into 2 right triangles.

Consider Δ SRQ from the rectangle

SQ² = SR² + RQ² = 12² + 6² = 144 + 36 = 180 ( take square root of both sides )

SQ = $\sqrt{180}$ ≈ 13.4 in ( to 1 dec. place )

Consider Δ ONM from the square

OM² = ON² + NM² = 6² + 6² = 36 + 36 = 72 ( take square root of both sides )

OM = $\sqrt{72}$ ≈ 8.5 in ( to 1 dec. place )

Now 2 × OM = 2 × 8.5 = 17 ≠ 13.4

Then diagonal OM is not twice the length of diagonal SQ

5 0

2 years ago

Read 2 more answers

What is the relationship between the ratios?

Lesechka [4]

Answer:

NOT PROPORTIONAL

Step-by-step explanation:

The given two fractions are: $\frac{5}{8}$ and $\frac{8}{10}$ .

Proportional fractions are those which have the same value when to reduced to the simplest form.

Consider two fractions $\frac{p}{q}$ and $\frac{x}{y}$ .

We say they are proportional if $p : q = x : y$ .

Or, if $py = qx$ then we can say the fractions are proportional.

Here the fractions are: $\frac{5}{8}$ and $\frac{8}{10}$ .

LHS: 5 X 10 = 50.

RHS: 8 X 8 = 64.

Clearly they are not equal. So, we can say these two fractions are not proportional.

5 0

2 years ago

Simplify your answer to the previous part and enter a differential equation in terms of the dependent variable xx satisfied by x

rusak2 [61]

Answer:

x'-5x=0, or x''-25x=0, or x'''-125x=0

Step-by-step explanation:

The function $x(t)=e^{5t}$ is infinitely differentiable, so it satisfies a infinite number of differential equations. The required answer depends on your previous part, so I will describe a general procedure to obtain the equations.

Using rules of differentiation, we obtain that $x'(t)=5e^{5t}=5x \text{ then }x'-5x=0$ . Differentiate again to obtain, $x''(t)=25e^{5t}=25x=5x' \text{ then }x''-25x=0=x''-5x'$ . Repeating this process, $x'''(t)=125e^{5t}=125x=25x' \text{ then }x'''-125x=0=x'''-25x'$ .

This can repeated infinitely, so it is possible to obtain a differential equation of order n. The key is to differentiate the required number of times and write the equation in terms of x.

7 0

2 years ago