x^2+4x+y^2-10y+20=30 find the center of the circle by completing the square

Answer:

15.33cm

Step-by-step explanation:

when you try to draw out this figure, satisfying the fact that Ad and Ac are both straight lines. you find the ultimately  it forms a right-angled triangle with sides AC and AD and hypotenuse CD.

Now, you may use Pythagoras theorem to solve:

AC^2 + AD^2 = CD^2

12.3^2 + 9.15^2 = CD^2

CD^2 = 235.0125

CD = square root of 235.0125 = 15.33cm

Hope this helps

Answer:

[tex]y= 500(1+0.15)^x[/tex]

Step-by-step explanation:

This problem can be solved using concept of compound interest

In compound interest

if p is the principal amount

and r is the interest rate

then value of principal amount(A) after n years time is given by

A = p(1+r)^n

=>[tex]A = p(1+r)^n[/tex]

__________________________________

in the problem

in place of n we have x years

y is the amount which is the total amount after n years

p is the principal money deposited = $500

r = 15%

substituting these value in the formula for amount after n years we have

[tex]y= 500(1+15/100)^x\\y= 500(1+0.15)^x[/tex]

Thus, function modeling the situation is [tex]y= 500(1+0.15)^x[/tex]

Answer: Are you in summer school pfft

Step-by-step explanation: I won’t help you cheat

Answer:

x=3/2

Step-by-step explanation:

There is only one solution.

Answer: x=3/2

Step-by-step explanation:

Answer:

166.25 cm²

Step-by-step explanation:

W = L - 8

2W + 2L = 54

2(L - 8) + 2L = 54

2L - 16 + 2L = 54

4L - 16 = 54

4L = 70

L = 17.5, W = 9.5

A = 17.5 x 9.5 = 166.25 cm²

Answer:

-5x^2 +x

Step-by-step explanation:

x(x-2)-3x(2x-1)

Distribute

x^2 -2x -6x^2 +3x

Combine like terms

-5x^2 +x

Answer:

x^2-2x-6x^2+3x

x^2+x-6x^2

-5x^2+x

Answer:

Step-by-step explanation:

D

Answer:

Answer choice 4

Step-by-step explanation:

4(5x+3y)

By distributive property, this can be rewritten as:

4(5x)+4(3y)=

20x+12y

or answer choice 4. Hope this helps!

Answer:

4) 20x+12y

Step-by-step explanation:

You have to use distivtive property

I hope this helps

Answer: -x + y = 8

Step-by-step explanation:

So first you are going to want to find the slope of the equation. The equation for that it (y2 - y1)/(x2 - x1) = (10 - 7)/(2 - -1) and that equals 1. So your slope will be 1.

Now you have half of your equation complete, currently it looks like, y = x + b. So we have to find the y intercept. You can do that by plugging in a pair of coordinates into the current equation and solve for b.

Lets plug in (2,10)

10 = 2 + b

10 - 2 = b

b = 8

So now you have your equation in slope intercept form, y = x + 8. Just move the x over to the left side and there is your answer.

-x + y = 8

Answer:

Yes, both are one third of the other number

Step-by-step explanation:

Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.

// have a great day //

Answer:

It takes 0.619 hours (approximately 37 minutes) for the van to catch up with the storm.

They have driven 33.43 miles

They will catch up when their distances are equal.

Step-by-step explanation:

The speed of the van is 54 mph, and the speed of the storm is 33 mph. They are going in the same direction, so the relative speed is the difference of their speeds:

relative speed = 54 - 33 = 21 mph

Now, to find the time when the van reaches the storm, we just need to use the equation:

distance = speed * time

13 = 21 * t

t = 13 / 21 = 0.619 hours

The distance traveled by the van is:

distance = 54 * 0.619 = 33.43 miles

The van will catch up when the distances are equal (the distance of the storm is 13 + 33*0.619 = 33.43 miles)

Answer:

Draw a right triangle and name it ABC- C is your right angle. A is the angle above C and B is the angle on the side of C. AC=12 and CB=5, you have to find AB using the Pythagorean Theorem.

Step-by-step explanation:

Using the Pythagorean Theorem you say:

AB²=AC²+CB²

AB²=12²+5²

AB²=144+25

AB²=169

AB=√169

AB= 13

Answer:

10,000 nickles

Step-by-step explanation:

Since there are 40 nickles in a roll and you have 250, think that you have 250 sets of 40. This means that this question is a multiplication problem.

Multiply 40 x 250. This would give you 10,000.

Don't forget units.

The number of nickels in 250 rolls is 10000

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here, There are 40 nickels in a roll. If I have 250 rolls of nickels, then the number of nickels in total is = 250×40

                                                     = 10000

Hence, The number of nickels in 250 rolls is 10000

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

SA: 456

V: 408

Step-by-step explanation:

To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!

Answer:

619.5cm2

Step-by-step explanation:

Based on what you defined as the parallel sides been 26cm and 33cm and the height been 21cm.

Hence the are of trapezium is half sum of the parallel sides × height.

Expressed mathematically we have:

1/2( 26 +33) × 21 = 1/2 ( 59) × 21 = (59×21)/2= 619.5cm2

Answer:

The slant height which is the distance from the top, down the side, to a point on the base circumference.

Step-by-step explanation:

Answer:

The expression as a sum of terms is [tex]2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }[/tex].

Step-by-step explanation:

The expression to be rewritten has the following form:

[tex]\sqrt{a} \cdot (2\cdot a^{2}-\frac{4}{a} )[/tex]

A polynomial as a sum of terms consists in a sum of terms of the form [tex]c_{i} \cdot a^{k(i)}[/tex], where [tex]c_{i}[/tex] and [tex]k_{i}[/tex] are the i-th coefficient and exponent. The expression has to be expanded to create the sum of terms:

[tex]a^{\frac{1}{2} }\cdot (2\cdot a^{2} - 4\cdot a^{-1})[/tex]

[tex]2\cdot a^{1 + \frac{1}{2} } - 4\cdot a^{-1+\frac{1}{2} }[/tex]

[tex]2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }[/tex]

The expression as a sum of terms is [tex]2\cdot a^{\frac{3}{2} } - 4\cdot a^{-\frac{1}{2} }[/tex].

Answer:

Step-by-step explanation:

110 = 70 + X [ extarior angle property]

or, 110 - 70 = X

or , 40 = X

HOPE IT HELPS ...

MARK ME AS BRAINLIEST IF IT DOES SO

Answer:

multiplying and dividing

Step-by-step explanation:

Answer:

200%

Step-by-step explanation:

make a proportion

100/100% = 200/x%  cross multiply

100x =20000  divide by 100

x = 200

Answer:

200% I think?

Step-by-step explanation:

Step-by-step explanation:

HOPE THE ANSWER IS CORRECT AND USEFUL

Answer:

I believe it’s 2,197 possibilities because there are 13 students and 3 tasks, so you multiply 3 13’s together

13 * 13 * 13 = 2,197

Answer:

All cubes, regardless of size, will have 6 faces and 12 edges.

Answer:

The answer is 2x² + 11x + 12.

Step-by-step explanation:

You have apply Distributive Law,

[tex]a(m + n) = am + an[/tex]

So for this question :

[tex](2x + 3)(x + 4)[/tex]

[tex] = 2x(x) + 2x(4) + 3(x) + 3(4)[/tex]

[tex] = 2 {x}^{2} + 8x + 3x + 12[/tex]

[tex] = 2 {x}^{2} + 11x + 12[/tex]

[tex](2x + 3)(x + 4) \\ = 2x(x + 4) + 3(x + 4) \\ = 2x \times x + 2x \times 4 + 3 \times x + 3 \times 4 \\ = {2x}^{2} + 8x + 3x + 12 \\ = {2x}^{2} + 11x + 12 \\ hope \: it \: helps[/tex]

Answer:

9.5 gallons

Step-by-step explanation:

Josh mixed 2 cartons of orange juice, 3 bottles of soda water and 6 cans of

cocktail fruits to make a fruit punch.

Each carton of juice is 1 gallon and 3 quarts.

Therefore, 2 cartons will be:

2 * (1 gallon + 3 quarts) = 2 gallons and 6 quarts

1 quart = 0.25 gallon

6 quarts = 6 * 0.25 = 1.5 gallons

Therefore, Josh poured 3.5 gallons of orange juice.

Each soda water bottle contains 6 quarts. There are 3 bottles of soda water.

Therefore, the number of gallons that the soda water bottle contains is:

3 * 6 * 0.25 = 4.5 gallons

The  cans of cocktail fruit are 2 pints each. There are 6 cans of cocktail fruit.

1 pint = 0.125 gallon

2 pints = 0.25 gallons

=> 6 cans of cocktail fruit is:

6 * 0.25 = 1.5 gallons

The amount of fruit punch that Josh made is the sum of all components:

3.5 + 4.5 + 1.5 = 9.5 gallons

Using the appropriate arithmetic operation, the total measure of the fruit punch in gallons is 9.5 Gallons

Recall :

Orange juice :

2 cartons = 2(1.75) = 3.5 gallons

Soda water :

3 bottles = 3(6 × 0.25) = 4.5 gallons

Cocktail juice :

6 cans = 6(2 × 0.125) = 1.5 gallons

Total gallons in mixture :

Learn more : https://brainly.com/question/25581049

Answer: Because all individuals in the sample have the same job, so the sample is biased.

Step-by-step explanation:

Ignoring the fact that 30 is a small sample for a large city, we already know that all the people in the sample has the same profession.

Now, we can expect that two dentists win have around the same income, but not all the residents in the city are dentists

A lot of them work in fast food, others may be lawyers, others may be freelancers.

We have a lot of jobs where the income does not coincide with the average income of a dentist, so with the sample of 30 dentists we are not actually representing all the other possible jobs that there are in the city.

If we want a sample that represents the income of all the residents, we should have a random sample (so the sample is not biased, like in this case).

Answer:

C'(1, 2 )

Step-by-step explanation:

The translation (x + 3, y - 2 ) means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus

C(- 2, 4 ) → C'(- 2 + 3, 4 - 2 ) → C'(1, 2 )

Answer:

Ali is 20

Adam is 25

Step-by-step explanation: