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zloy xaker [14]
3 years ago
14

How do I solve this equation by linear combinations

Mathematics
1 answer:
Tatiana [17]3 years ago
7 0
What’s the equation given ?
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What is the equation of the circle with center (−3, 1) that passes through the point (−5, 3)?
Mariulka [41]

Answer:

( x + 3)^2 + ( y - 1)^2 = 8

Step-by-step explanation:

The equation of a circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( x , y) - any point on the circle

( a, b) - center of the circle

r^2 - radius of the circle

( -3 , 1) - center - ( a, b)

a = -3

b = 1

( -5 , 3) - point - ( x, y)

x = -5

y = 3

Step 1: substitute the center into the equation

( x -(-3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + ( y - 1)^2 = r^2

Step 2 : sub the point into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( -5 + 3)^2 + ( 3 - 1)^2 = r^2

(-2)^2 + 2^2 = r^2

4 + 4 = r^2

8 = r^2

Step 3 : sub the radius into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + (y - 1)^2 = 8

Therefore, the equation of the circle is

( x + 3)^2 + (y - 1)^2 = 8

6 0
3 years ago
Help me please!! I have no clue what the answer is
lina2011 [118]

Answer:

-7a + 11

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How do you determine the slope interscept equation of two given pointa
DiKsa [7]

Step-by-step explanation:

To find the slope intercept form of any equation using two points, you first need to find the slope. You can do this using the slope formula below.

m(slope) = (y2 - y1)/(x2 - x1)

In this equation, we find the slope by putting in the values we have given the points. The first point you have would be (x1, y1). So if your first point is (3, 1), you would put 3 in for x1 and 1 in for y1. Then you do the same for the second point using (x2, y2).

After you've solved that equation and got m, you can use point-slope form. Take your first point and your newly found slope and plug the values into the following equation.

y - y1 = m(x - x1)

After this, you can solve for y and that will be your slope intercept form.

7 0
3 years ago
Which equation represent a line that passes through (-2,4) and has a slope of 2/5
Mila [183]
Equation of a line is given by y - y1 = m(x - x1); where m is the slope.
y - 4 = 2/5 (x - (-2))
y - 4 = 2/5 (x + 2)
4 0
3 years ago
A new shirt costs $14.99. If the shirt in sale for 1/5 off its price, about much would you save. SOLUTION PLS
Tasya [4]

Answer:

As per the given condition:

A new shirt costs $14.99.

If the shirt has a sale for \frac{1}{5} off its price.

Now, we find how much you save on this shirt:

First find the \frac{1}{5} of $14.99

i.e,  

\frac{1}{5} \times \$14.99 = \frac{\$14.99}{5} =\$ 2.998

⇒ you have the discounted value is $ 3 .

You pay for the shirt is: $14.99 -$ 2.998 = $11.992

Therefore, you would save $2.998 or $ 3 in buying your new shirt.


5 0
3 years ago
Read 2 more answers
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