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3 years ago

4. Find the value of r so that the line that passes through the following points has

Mathematics

1 answer:

makkiz [27]3 years ago

7 0

Answer:

r = -9

Step-by-step explanation:

use the slope formula:

(2-0) / (r-3) = -1 /6

cross-multiply:

-1(r - 3) = 2(6)

-r + 3 = 12

-r = 9

r = -9

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Which conic's equation has 2 squares with the same signs and different leading coefficients?

Romashka [77]

We want to see which is the conic equation that has 2 squares with the same sign and different leading coefficients.

We will see that it is the equation of the ellipse.

Now let's see why that is the correct answer.

The general conic equation is of the form:

$A*(x - a)^2 + B*(x - b)^2 = R^2$

Where A and B are the leading coefficients, (a, b) is the center of the figure, and R is the average radius of the figure.

For example, if A = B, this would be the equation of a circle, but we must have two different leading coefficients.

If we write:

A = 1/C

B = 1/K

(both are positive, because "it has two squares with the same signs").

Then we get the equation:

$\frac{ (x - a)^2}{C} + \frac{(x - b)^2}{K} = R^2$

We get the equation we wanted.

The same sign in both square parts and different leading coefficients.

The above equation is the general equation of an ellipse.

If you want to learn more, you can read:

brainly.com/question/10311514

7 0

2 years ago

Which of the following points could be the initial point of vector v if it has a magnitude of 10 an the terminal point (-1,5)?

Eddi Din [679]

Let the initial point of the vector be (x,y). Then the magnitude of the vector v can be written as:

$|v|= \sqrt{ (-1-x)^{2} + (5-y)^{2} }$

The magnitude of vecor v is given to be 10. So we can write:

$10= \sqrt{ (-1-x)^{2} + (5-y)^{2} } \\ \\ 100=(-1-x)^{2} + (5-y)^{2}$

Now from the given options, we have to check which one satisfies the above equation. That point will be the initial point of the vector.

The point in option d, satisfies the equation.

$100=(-1+7)^{2} +(5+3)^{2} \\ \\ 
100=36+64 \\ \\ 
100=100$

Thus, the answer to this question is option D

7 0

3 years ago

You are locked out of your villa in Dubai and the only open window is on the second floor to get inside. You need to borrow a la

vova2212 [387]

Answer:

You are locked out of your villa in Dubai and the only open window is on the second floor to get inside. You need to borrow a ladder from your neighbour. So you will have to propped up ladder against villa, since there is a bush along the edge of the house find the interior angles of the triangle formed to reach window and exterior angles on the ground. Justify your answer.

pls answer pls pls

7 0

3 years ago

Using appropriate properties, find the value of 249² - 248²

Lady_Fox [76]

Answer:

$\boxed{\bold{\huge{\boxed{497}}}}$

Step-by-step explanation:

=> $\sf 249^2 - 248^2$

Using Formula $\sf a^2 - b^2 = (a+b)(a-b)$

Where

a = 249

b = 248

=> $\sf (249+248)(249-248)$

=> $\sf (497)(1)$

=> 497

3 0

3 years ago

Look at the imagine. Help asap.

Stella [2.4K]

2x-1 < x+3

5x-1 > 6-2x

x-5 < 0

solve the inequality for x.

x < 4

x > 1

X < 5

find the intersection

X ∑ {1,4}

Alternative form: {x I 1 < x < 4}

∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern. For example, the sum of the first 4 squared integers, 12+22+32+42, follows a simple pattern: each term is of the form i2, and we add up values from i=1 to i=4.

4 0

1 year ago