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3 years ago

Equation of a Circle: Mastery Test

Mathematics

1 answer:

xenn [34]3 years ago

7 0

Answer:

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

Step-by-step explanation:

x² + y2 - 2x + 2y - 1 = 0

add the 1 to get it to the other side of the equation

x² + y2 - 2x + 2y = +1

group the x's and y's

(x² -2x) + (y2+2y) = +1

then you'll complete the square on the -2x and + 2y. that just means divide by two and then raise it to the 2nd power.

so (-2/2)^2 and (+2/2)^2

(x²-2x+1)+(y2+2y+1) = 1+1+1

you add the one's to the other side because whatever is done to one side must be done to the other

you'll then need to factor again.

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

to factor it take one of your squared x's, the sign of the middle term within the parentheses , then the square root of the last term within the parentheses. remeber to put your ^2 (raised to the 2nd power) outside of the parentheses when you finish.

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If you bought a stock last year for a price of $67, and it has risen 12% since then, how much is the stock worth now, to the nea

lisabon 2012 [21]

Answer:$75.04

Step-by-step explanation:

last year price=$67

12% of 67

12/100 x 67

(12 x 67) ➗ 100

804 ➗ 100=8.04

Since it has risen by 12%

There new price is 67+8.04=75.04

4 0

3 years ago

Please help i giving brainliest no links

OverLord2011 [107]

I think it is 8,4 let me now if it is right

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3 years ago

How to answer this problem

tangare [24]

<2= 30 degrees since its vertical to the 4th angle.
<1=150 degrees
<3=150 degrees

since angle 3 and the 4th angle are supplementary, which means both angles equal 180 degrees, angle 3 equals 150 degrees.

since angle 3 is vertical to angle 1 it's also 150 degrees since they're congruent.

4 0

4 years ago

What is the range of the function represented by this graph? the graph of a quadratic function with a minimum value at the point

tatiyna

Answer:

see explanation

Step-by-step explanation:

The minimum is at the vertex (- 3, 1 ), that is y = 1

Since the graph is a minimum then it opens vertically up U

The range of the values of y are therefore

range [ 1, ∞ )

7 0

4 years ago

Write a number or expression in each blank space to create true equations.

Rina8888 [55]

Answer:

$7(3+5)=7(3)+7(5)\\15-10=5(3-2)$

Step-by-step explanation:

Both expressions are examples of the distributive property, which basically says "if I have this many groups of some size and that many groups of the same size, I've got this + that groups of that size altogether."

To give an example, if I've got 3 groups of 5 and 2 groups of 5, I've got 3 + 2 = 5 groups of 5 in total. I've attached a visual from Math with Bad Drawings to illustrate this idea.

Mathematically, we'd capture that last example with the equation

$5(3)+5(2)=5(3+2)$ . We can also read that in reverse: 3 + 2 groups of 5 is the same as adding together 3 groups of 5 and 2 groups of 5; both directions get us 8 groups of 5. We can use this fact to rewrite the first expression like this: $7(3+5)=7(3)+7(5)$ .

This idea extends to subtraction too: If we have 3 groups of 4 and we take away 1 group of 4, we'd expect to be left with 3 - 1 = 2 groups of 4, or in symbols: $4(3)-4(1)=4(3-1)=4(2)$ . When we start with two numbers like 15 and 10, our first question should be if we can split them up into groups of the same size. Obviously, you could make 15 groups of 1 and 10 groups of 1, but 15 is also the same as 3 groups of 5 and 10 is the same as 2 groups of 5. Using the distributive property, we could write this as $15-10=3(5)-2(5)=5(3-2)$ , so we can say that $15-10=5(3-2)$ .

4 0

3 years ago