If the center of the circle were moved from the origin to thepoint (h, k) and point P at (x, y) remains on the edge of the
circle, which could represent the equation of the new
circle?
O (h + x)2 + (k + y)2 = 22
0 (x – n)2 + (y – k)2 = p2
O (k + x)2 + (h + y)2 = 22
0 (x – k)2 + (y – 5)2 = 12

Answers

Answer 1

Answer:

The equation of the new circle will be,

⇒ (x - h)² + (y - k)² = r².

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Now, If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle.

Then, Equation of the new circle,

(x - h)² + (y - k)² = r²

Where center = (h, k)

radius = r

Hence, the equation of the new circle will be,

⇒ (x - h)² + (y - k)² = r².

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Answer 2

Answer:

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

Step-by-step explanation:

I just answered it and it’s correct

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Need help fast! Where does the line y=x-9 cross the y axis? Same with the line y=-2x-3 . Please give me a detailed method as well as an explanation as i need to know this for my end of year exam:)

Answers

y = x - 9 meets the y-axis at (0,-9) y = -2x - 3 meets the y-axis at (0,-3) This is because for every linear equation, there is a formula corresponding to it as y=mx + c, where (0,c) is where it meets the y-axis. As we assign the value of 0 to x, only c will be left to equal y, being the intercept.

Solve the Systems of equations algebraically 4x+5y=15
-4x+6y+7

Answers
A- (5/4, 2)
B- (2, 5/4)
C- (4/5,2)
D (2, 4/5)

Answers

STEP 1:
4x + 5y= 15
-4x + 6y= 7
add the two above equations; the x term cancels out; solve for y

11y= 22
divide both sides by 11

y= 2

STEP 2:
substitute the y value in step 1 into either original equation

4x + 5y= 15
4x + 5(2)= 15

4x + 10= 15
subtract 10 from both sides

4x= 5
divide both sides by 4

x= 5/4

ANSWER: (A) x= 5/4, y= 2 or (5/4, 2)

Hope this helps! :)

Answer:

5/4, 2 or A on edge 2021

Step-by-step explanation:

took the test :)

100-99+98-97+96-95...2-1=

Answers

100-99=1+98=99-97=2+96=98-95=3
2-1=1

Factor the polynomial by factoring out the GCF.

6y^3 − 9y^2

Answers

Answer:

3y²(2y - 3)

Step-by-step explanation:

Given

6y³ - 9y² ← factor out 3y² from each term

= 3y²(2y - 3)

Which one of the following expressions has an even integer value for all integers a and c ?F. 8a + 2ac
G. 3a + 3c
H. 2a + c
J. a + 2c
K. ac + a^2

Answers

The required expression that has an even integer value for all integers a and c is F. 8a + 2ac.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
We can determine which expressions have an even integer value for all integers a and c by looking at their factors.

An integer is even if and only if it is divisible by 2. Therefore, an expression will have an even integer value for all integers a and c if and only if it contains a factor of 2.

Let's look at each of the given expressions:

F. 8a + 2ac = 2(4a + ac)

This expression has a factor of 2, so it has an even integer value for all integers a and c.

G. 3a + 3c = 3(a + c)

This expression does not have a factor of 2, so it does not have an even integer value for all integers a and c.

H. 2a + c

This expression does not have a factor of 2, so it does not have an even integer value for all integers a and c.

J. a + 2c

This expression does not have a factor of 2, so it does not have an even integer value for all integers a and c.

K. ac + a²

This expression does not have a factor of 2, so it does not have an even integer value for all integers a and c.

Therefore, the expression that has an even integer value for all integers a and c is F. 8a + 2ac.

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Sea level is considered to be 0 feet. A probe released at sea level dropped at a constant rate for 3.25 minutes, reaching an elevation of −35.75 feet relative to sea level.What was the probe's elevation relative to sea level after the first minute?