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3 years ago

What is the leading coefficient of this expression? *

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

8 0

Answer:

4, 8, and 9

Step-by-step explanation:

» Leading coefficients are coefficients of terms with highest powers.

${}$

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Circle P is described by the equation (x−1)2+(y+6)2=9 and circle Q is described by the equation (x+4)2+(y+14)2=4. Select from th

xeze [42]

Answer:

(a) Circle Q is 9.4 units to the center of circle P

(b) Circle Q has a smaller radius

Step-by-step explanation:

Given

$P:(x - 1)^2 + (y + 6)^2 = 9$

$Q:(x + 4)^2 + (y + 14)^2 = 4$

Solving (a): The distance between both

The equation of a circle is:

$(x - h)^2 + (y - k)^2 = r^2$

Where

$Center: (h,k)$

$Radius:r$

P and Q can be rewritten as:

$P:(x - 1)^2 + (y + 6)^2 = 3^2$

$Q:(x + 4)^2 + (y + 14)^2 = 2^2$

So, for P:

$Center = (1,-6)$

$r = 3$

For Q:

$Center = (-4,-14)$

$r = 2$

The distance between them is:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2$

Where:

$Center = (1,-6)$ --- $(x_1,y_1)$

$Center = (-4,-14)$ --- $(x_2,y_2)$

So:

$d = \sqrt{(1 - -4)^2 + (-6 - -14)^2$

$d = \sqrt{(5)^2 + (8)^2$

$d = \sqrt{25 + 64$

$d = \sqrt{89$

$d = 9.4$

Solving (b): The radius;

In (a), we have:

$r = 3$ --- circle P

$r = 2$ --- circle Q

By comparison

$2 < 3$

Hence, circle Q has a smaller radius

4 0

3 years ago

What is the value of x/3y , when x = 18 and y = 3?

tekilochka [14]

So when you work with variables (x, y or any other letter), when they're beside a number it usually means to multiply.

So 3y can also be written as 3(3). So 3 multiplied by 3 is equal to 9

So now our problem looks like this,

x/9.

Since we already know what x is equal to, our problem will look like this

18/9.

So now all we have to do is divide.

18 divided by 9 is 2

So therefore, your answer is 2.

I hope this helps :)

3 0

4 years ago

The graph shows the speed of a ball in free fall for 10 seconds. Which is the constant of proportionality shown in the graph?

Marizza181 [45]

Given:

The graph shows the speed of a ball in free fall for 10 seconds.

We need to determine the constant of proportionality for the given graph.

Constant of proportionality:

The constant of proportionality can be determined using the formula,

$\frac{y}{x}=k$

Where k is the constant of proportionality.

Let us consider any of the coordinate from the graph and substitute in the formula.

Consider the coordinate (4,40) and substitute in the above formula.

Thus, we have;

$\frac{40}{4}=k$

$10=k$

Thus, the constant of proportionality is 10 meters per second squared.

3 0

3 years ago

Dividing mixed numbers

wariber [46]

The answer would be =11/20--Welcome , hopes this helps :P

4 0

3 years ago

I open a saving account with $200 and plan to put $50 per month in the account.

Akimi4 [234]

Answer:

50m + 200

Step-by-step explanation:

50 times month(s) + starting value

6 0

3 years ago