find the standard form, center, and radius of the following circles
1. x2+y2-4x+8y-5=0
2. 4x2+ 4y2+36y+5=0

Answers

Answer 1

Answer: The standard form a circle is (x−h)2+(y−k)2=r2 , where (h,k) is the center of the circle and r is the radius of the circle. Therefore, the center of the circle is at (2,4) and the circle has a radius of 5 .

Step-by-step explanation:


Related Questions

Which expression is equivalent to 3(x + 6)?

Answers

Step-by-step explanation:

the answer is 3x+18. vb. bbb b

If a tractor trailer rig is driven 422.4 mi at 64 mi/ on interstate highways, how long does the trip take

Answers

Answer: 6.6 hours

Step-by-step explanation:

Time = Distance/Speed

Time = 422.4 miles/64 mi/h

Time = 6.6 h

How many triangles can be formed with segments measuring 9.125 ft, 15.378 ft, and 24.503 ft?

none

one

more than one

Answers

Answer:

None Hope this helps :D

Step-by-step explanation:

Took the test

Answer:

none

Step-by-step explanation:

Prepare an amortization schedule for a three-year loan of $57,000. The interest rate is 8 percent per year, and the loan calls for equal annual payments. How much interest is paid in the third year? How much total interest is paid over the life of the loan?

Answers

To repay this loan in three years we must make annual payments of $23,560.

How to calculate how much we should pay annually?

To calculate the payments that we must make each year, taking into account the 8% interest, we must carry out the following operations:

$57,000 ÷ 3 = 19,000

To calculate the interest equivalent to 8%:

$57,000 ÷ 100 = $570$570 × 8% = $4,560

So, to calculate the total per year that we must pay, we must add both values:

$19,000 + $4,560 = $23,560

Finally, to know how much we pay in total for the interest on the loan, we multiply the value of the interest by the years that the loan lasted:

$4,560 × 3 = $13,680

Learn more about loan in: https://brainly.com/question/11794123

Toni's brownie recipe calls for 2 teaspoons of salt to 3 teaspoons of vanilla. How many teaspoons of salt does Toni need to every one teaspoon of vanilla?

Answers

Answer:

2/3

Step-by-step explanation:

What is the measure of Angle y in this figure?


Two intersection lines. All four angles formed by the intersecting lines are labeled. Clockwise, the angles are labeled 163 degrees, z degrees, y degrees, and x degrees.


Tip: Angles that are across from each other (vertical angles) are congruent.


163°

27°

37°

180°

Answers

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Here, in the given figure. Angle y° forms vertical opposite angle pair with Angle 163°, therefore they have equal values.

that means ~

[tex]\qquad \sf  \dashrightarrow \: y \degree = 163 \degree[/tex]

Just look at the picture please and thank you ​

Answers

Answer:

5/8 acre per each hour.

Step-by-step explanation:

Please look at photo :)

Answers

Answer:

it would be x-14

Step-by-step explanation:

This is translated to a algebra equation

Question 7 options:
Given the following definitions:

U = {a, b, c, d, e, f, g}

A = {a, c, e, g}

B = {a, b, c, d}

Find A ∪ B

Answers

Step-by-step explanation:

(A u B ) = A union B = A + B

(A u B ) = ( a, b,c,d,e,g)

I need help on this math question

Answers

Answer:

0 is the answer

Step-by-step explanation:

0 the answer is 0

If ABCD is dilated by a factor of 2, the
coordinate of D' would be:
5
4
3
С
2.
B.
-8
-7
-6
-5
-4
-3
-2
-1 0
1
2
3
4
5
6
7
8
9
10
11
-1
A
-2
D
-3
D' = ([?], [ ]
=
Enter

Answers

Answer: (6, -4)

Step-by-step explanation:

Assuming the dilation is centered at the origin, you can simply double the coordinates. This gives you [tex]D'(3 \times 2, -2 \times 2) = (6, -4)[/tex]

Determine the solution set of (3x + 1)2 - 100 = 0. answer options are (3.-3) O (3.-11/3) O (-1V3.-3)​

Answers

Answer:

Substituting the {3,-11/3} the equation is satisfied for the both values individually. Also it can be satisfied by solving the equation 3x2+2x-33=0 and giving the roots as x=3 and x=-11/3

Step-by-step explanation:

I think

What is the perimeter of a square with a length of 57 meters?

Answers

Answer:

228

Step-by-step explanation:

All four sides of a square are equal.

57×4=228

Answer:

228

Step-by-step explanation:

took the quiz


Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answers

Solution:

Rise and run stated in graph below.

To find the slope of the line, we need to use the formula "Rise/Run".

Looking at the graph, we can tell that

The rise is 3 unitsThe run is 12 units

When rise/run used:

Rise/Run = 3/12 = 1/4

Thus, the slope is 1/4.

Find the ordered pairS of
y = 4x + 3.

Answers

Answer:

*View the attached graph*

Step-by-step explanation:

Some ordered pairs of y = 4x + 3 are:

(0,3)

(-1,-1)

(-2,-5)

(1,7)

(-3,-9)

Hope this helps!

what is the lateral surface area area of a cuboid​

Answers

Answer:

Lateral surface area - The sum of surface areas of all sides except the top and bottom face of solid is defined as the lateral surface area of a solid. So the lateral surface area (L.S.A) of the cuboid is = 2(lh+bh)=2h(l+b)

Answer:

Lateral surface area of a cuboid = 2h(l + w)

where w = width, l = length and h = height

Step-by-step explanation:

Lateral Surface Area = Total Surface Area - Area of top and bottom faces

Let w = width

Let l = length

Let h = height

Lateral Surface Area = 2(lw + wh + lh) - (2 × l × w)

                                  = 2lw + 2wh + 2lh - 2lw

                                  = 2lh + 2wh

                                  = 2h(l + w)


If f(x) = 2x^3 + 18x^2 + 56x + 40 and x + 1 is a factor of f(x), then find all of
the zeros of f(x) algebraically.

Answers

Answer:

-3, 0, 0.5, and 3

A number is multiplied by 6 and that product is added to 2 the sum is equal to the product of 2 and 19 find the number.

Answers

Answer:

Lets call the missing number x

so

(6x = x + 2) = 2 * 19

(6x -x = 2) = 38

Marcella states that the product of 11.759.69 and 24.205 is approximately 290,000. Which
method should be used to check her answer
A. round the numbers to 11,000 and 20, then multiply
B. round the numbers to 12,000 and 20, then multiply
C. round the numbers to 11,000 and 24, then multiply
D. round the numbers to 12,000 and 24, then multiply

Answers

Answer: D.

Step-by-step explanation:

round the numbers to 12,000 and 24, then multiply

0.15(w+2)=0.3+0.2w I need help

Answers

Answer: w=0

Step-by-step explanation:

Step 1 Solve by distributing 0.15w+0.15\cdot2=0.3+0.2w

Simplify the arithmetic 0.15w+0.3=0.3+0.2w

Step 2 Subtract 0.2w from both sides 0.15w+0.3-0.2w=0.3+0.2~w-0.2w

Group like terms: 0.15w-0.2w+0.3=0.3+0.2w-0.2w Simplify the arithmetic -0.05w+0.3=0.3+0.2w-0.2w Group like terms -0.05w+0.3=0.2w-0.2w+0.3 Simplify the arithmetic -0.05w+0.3=0.3

Step 3 Subtract 0.3 from both sides -0.05w+0.3-0.3=0.3-0.3 Simplify the arithmetic -0.05w=0.3-0.3 Simplify the arithmetic -0.05w=0 Isolate the X

then equals w=0

Find a line that is perpendicular to y = 2/5x-1 that goes through (3,6)

Answers

Answer:

[tex]\sf y=-\frac{5}{2}x+\frac{27}{2}[/tex]

Step-by-step explanation:

given equation:

[tex]\sf y = \frac{2}{5} x -1[/tex]

using the formula: y = mx + b

Here, we can determine 2/5 is the slope

if perpendicular: -1/m → -1/2/5 → -5/2

using the formula:

[tex]\sf y - y1 = m ( x - x1)[/tex]

[tex]\sf y - 6 = -\frac{5}{2} ( x - 3 )[/tex]

[tex]\sf y - 6 = -\frac{5}{2} x - \frac{15}{2}[/tex]

[tex]\sf y = -\frac{5}{2} x + \frac{15}{2} +6[/tex]

[tex]\sf y=-\frac{5}{2}x+\frac{27}{2}[/tex]

The lowest level energy that an electron can have in the Bohr model of the Hydrogen atom is called the?

Answers

The lowest level energy that an electron can have in the Bohr model of hydrogen atom is called

Step-by-step explanation:

ground State

Following question answer

Answers

Answer:

P ( A ∩ B ) = 7

Step-by-step explanation:

→ State the formula

P ( A ∪ B ) = P ( A ) + P ( B ) - P ( A ∩ B )

→ Substitute in the numbers

23 = 13 + 17 - P ( A ∩ B )

→ Solve

P ( A ∩ B ) = 7

Plot and connect the points A(1,-5), B(-4,-3), C(3,-3), and find the area of the triangle it forms.

Answers

Answer:

  7 square units

Step-by-step explanation:

Two of the points are on the horizontal line y = -3, so it is convenient to call that the "base" of the triangle. The length of the base is the difference in the x-coordinates of its end points:

  b = 3 -(-4) = 7

The height is measured perpendicular to the base, so is the vertical distance from the line y=-3 to the third point. That distance is the difference between -3 and the y-coordinate of point A:

  -3 -(-5) = 2

The triangle has a base of length 7 and a height of 2. Its area is ...

  A = 1/2bh

  A = 1/2(7)(2) = 7 . . . . square units

2>-4 multiply both sides by -2

Answers

Answer:

-4 < 8

Step-by-step explanation:

2 x -2 = -4

-4 x -2 = 8

Hello.

Multiply both sides by -2:

2>-4

-4<8

Notes:

When we multiply or divide both sides by a negative number, we flip the inequality sign.If we multiply or divide a negative by a negative, we get a positive.

I hope it helps.

Have an awesome day.

[tex]\boxed{imperturbability}[/tex]

Can the sides of a triangle have lengths 5, 1, and 1?
yes

OR
no

Answers

Answer:

No they cannnot

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

It probably can cause not ALL sides of triangles are equal to each other

I need with these problems

Answers

Answer:

1. [tex]\frac{5}{6}[/tex]

3. [tex]\frac{7}{0}[/tex] (undefined slope)

5. [tex]-\frac{7}{4}[/tex]

7. [tex]24[/tex]

Step-by-step explanation:

slope (m)

rate of change (r)

1. m = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{8-3}{13-7} =\frac{5}{6}[/tex]

3. m = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{4-(-3)}{9-9} =\frac{7}{0}[/tex] (undefined slope)

5. m = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{-1-6}{0-(-4)} =\frac{-7}{4}=-\frac{7}{4}[/tex]

7. r = [tex]\frac{f(b)-f(a)}{b-a}=\frac{24-0}{1-0}=\frac{24}{1}=24[/tex]

Hope this helps!

The Equation of L1, is y=5x+1
The Equation of L2, is 2y-10x+3=0
Show that these two lines are parallel

Answers

Parallel lines are lines that have equal slope

It is true that the two lines are parallel

How to show that the lines are parallel

The equations of the two lines are given as:

y = 5x + 1 and 2y - 10x + 3 = 0

Both equations are linear equations, and a linear equation is represented as:

y = mx + b

Where m represents the slope.

For equation L1, the slope is:

m = 5

For equation L2, we have:

[tex]2y - 10x + 3 = 0[/tex]

Divide through by 2

[tex]y - 5x + 1.5 = 0[/tex]

Make y the subject

[tex]y = 5x - 1.5[/tex]

This means that the slope of equation L2 is also 5

When the slopes are equal, then the lines are parallel

Hence, the two lines are parallel

Read more about parallel lines at:

https://brainly.com/question/13763238

1Given: 32, 18, 24, 17, 16, 32,
28, 68, 71 and 15, the mode of
the distribution is
A. 71
B. 56
C. 32
D. 15

Answers

Answer:

32, 32 is shown twice.

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Set of Data (Prioritized):

15, 16, 17, 18, 24, 28, 32, 32, 68, 71

To find the median:

Count how many times each number occurs. The number that occurs the most is the mode, and that number is 32.

Therefore, the mode is equal to 32.

Determine the number of solutions of each system of equations.

-14x - 20y = 42
-14x - 20y = 42

A. Infinitely many solutions
B. There are two solutions
C. One solution
D. No solutions

PLEASE HELP ♡

Answers

Answer:

A. Infinitely many solutions

Step-by-step explanation:

You have written the same equation twice. Basically you have two variables, x and y, but only one condition binding them. As long as one changes you can determine the other.

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