Can someone help me!!!

Can Someone Help Me!!!

Answers

Answer 1

Answer:

Step-by-step explanation:

Hello, please consider the following.

First of all, we need to complete the squares, then move the constant to the right side, as below.

[tex]x^2+y^2+4x-10y-7=0\\\\(x+2)^2-4+(y-5)^2-25-7=0\\\\(x+2)^2+(y-5)^2=36=6^2[/tex]

And then, we can read the answers from the rearranged equation.

(a) The centre is then (-2,5)

(b) The radius is 6

Thank you.


Related Questions

(0.003s^2 +0.075 -0.027)•0.2

Answers

Answer:

0.0006s2+0.0096

Step-by-step explanation:

In a triangle ABC, AB=AC and ˂A=70°, find the angles,˂B and ˂C








please help !!!!!!! i will mark brainliest for first answer

Answers

Answer:

m<B = m<C = 55

Step-by-step explanation:

Since those two sides are congruent, the base angles are congruent.

m<B = m<C = x

m<A + m<B + m<C = 180

70 + x + x = 180

2x + 70 = 180

2x = 110

x = 55

m<B = m<C = 55

Convert the repeating decimal below into a fraction.
0.234​

Answers

Answer:

the answer is 117/500 hop this helps:)

Step-by-step explanation:

0.234 = 117 / 500

as a fraction

To convert the decimal 0.234 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

0.234 = 0.234/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,

0.234/1

= (0.234 × 1000)

(1 × 1000)

= 234

1000

.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(234,1000) = 2. So,

(234÷2)

(1000÷2)

= 117/500

when reduced to the simplest form.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

I would appreciate it!

Diego plans to save the same amount of money for 10 weeks.He wants to buy a new hammock for $65 and a sleeping bag for $105. how much money should he save each week to buy both items?

Answers

Answer:  17 per week

Step-by-step explanation:

10 weeks = 70 days

105 + 65 = 170

107 / 70 = 2.42857142857

2.42857142857 x 7 days = $17

17 dollars for he can enlighten and if he makes 17 dollars per day and 10 weeks x 4 so 17 x 40 days

A common approach to keeping a record of each customer's account receivable is to use a subsidiary accounts receivable ledger.a. Trueb. False

Answers

Answer:

True

Step-by-step explanation:

The given statement is true as a common approach to keeping a record of each customer's account receivable is to use a subsidiary accounts receivable ledger. An account's receivable subsidiary ledger  is an accounting ledger that shows the transaction and payment history of each customer to whom the business extends credit.

In one day, a book store earned $199 in sales for 4 copies of a new cookbook and 5 copies of a new science fiction novel. On the next day, it earned $152 in sales for 3 copies of the cookbook and 4 copies of the science fiction novel. What was the price of each book?

Answers

Answer:

The cookbook costs $36 per copy while the science fiction costs $11 per copy

Step-by-step explanation:

Here in this question, we are interested in calculating the price of the cookbook and the price of the science fiction novel.

Since we do not know the price of each, we start by assigning variables to stand in for these unknown prices.

Let the price of the cookbook be $x , while the price of the science fiction be $y

Now, on the first day, 4 copies of the cookbook and 5 copies of the fiction;

mathematically that would be 4 * x and 5 * y

We add both and sum to be $199

Thus we have;

4x + 5y = 199 ••••••••••(i)

On the second day;

3 copies of cookbook 3 * x = 3x with 4 copies of science fiction 4 * y

Adding both yielded 152;

Thus, we have ;

3x + 4y = 152••••••••••(ii)

So we need to solve both equations simultaneously to get the values of x and y

4x + 5y = 199

3x + 4y = 152

Multiply equation i by 3 and equation ii by 4

3 * 4x + 5y = 199

4 * 3x + 4y = 152

12x + 15y = 597

12x + 16y = 608

Now, subtract multiplied equation ii from multiplied equation i

(12x-12x) + (15y-16y) = (597-608)

-y = -11

y = 11

To get x, simply substitute in any of the equations;

let’s use equation 1

4x + 5y = 199

4x + 5(11) = 199

4x + 55 = 199

4x = 199-55

4x = 144

x = 144/4

x = 36

can someone help ? i only have 36 min

Answers

Answer:

[tex] \boxed{ \bold{{ \boxed{ \sf8 {x}^{7} + 3 {x}^{6} + {x}^{5} + 5 {x}^{4} - 2 {x}^{3} }}}}[/tex]

Step-by-step explanation:

Here, we have to arrange the polynomial from higher power to lower power.

So, Option C is the correct option

Hope I helped!

Best regards! :D

A biologist measured the length and mass of 20 reptiles. The equation y=0.3x - 2 is the line of best fit for the data, where x is the length, in centimeters, and y is the mass, is grams. Based on the equation what is the approximate length of a reptile that has a mass of 20.5grams

Answers

Answer:

It should be 75 cm if we're taking the same test.

Step-by-step explanation:

y=0.3x-2

20.5=0.3(75)-2

0.3*75=22.5

22.5-2=20.5

20.5=20.5

Using the line of best-fit, it is found that the approximate length of the reptile is of 75 centimetres.

-------------

The mass y, in grams, of a reptile with length of x centimetres is given by:

[tex]y = 0.3x - 2[/tex]

-------------

Mass of 20.5 grams means that [tex]y = 20.5[/tex]The length for this reptile is found solving the line of best-fit for x, thus:

[tex]y = 0.3x - 2[/tex]

[tex]20.5 = 0.3x - 2[/tex]

[tex]0.3x = 22.5[/tex]

[tex]x = \frac{22.5}{0.3}[/tex]

[tex]x = 75[/tex]

The approximate length of the reptile is of 75 centimetres.

A similar problem is given at https://brainly.com/question/24141057

Use cylindrical coordinates.
Find the volume of the solid that is enclosed by the cone
z = \sqrt{x^2+y^2} and the sphere x2 + y2 + z2 = 32.

Answers

Answer: Find the answer in the attachment

Step-by-step explanation:

The volume constrained both by the cone and the sphere is [tex]21.905\pi[/tex] cubic units.

The volume of a solid in cylindrical coordinates ([tex]V[/tex]) can be determined by the following triple integral:

[tex]V = \iiint dz\,r\,dr\,d\theta[/tex] (1)

The solid is constrained by the following equations in cylindrical coordinates:

Sphere

[tex]r^{2}+z^{2} = 32[/tex] (2)

Cone

[tex]z = r[/tex] (3)

The integration limits can be identified by using the following intervals:

[tex]z \in [0, +\sqrt{32-4^{2}}][/tex], [tex]r \in [0,4][/tex], [tex]\theta \in [0,2\pi][/tex]

And the triple integral has the following form:

[tex]V = \int\limits_{0}^{2\pi}\int\limits_{0}^{4}\int\limits_{0}^{+\sqrt{32-r^{2}}} dz\,r\,dr\,d\theta[/tex] (4)

Now we proceed to integrate the expression thrice:

[tex]V = \int\limits_{0}^{2\pi}\int\limits_{0}^{4}\sqrt{32-r^{2}}\,r\,dr\,d\theta = 10.952\int\limits_{0}^{2\pi}\,d\theta = 21.905\pi[/tex]

The volume constrained both by the cone and the sphere is [tex]21.905\pi[/tex] cubic units.

We kindly invite to check this question on triple integrals: https://brainly.com/question/6821707

Find the value of x please help ASAP picture below

Answers

Answer:

7

Step-by-step explanation:

Because these two triangles share an angle and their corresponding sides are parallel, they are similar.

So, we can set up a proportion relating corresponding sides:

10 / (10 + 8) = (3x - 6) / (3x - 6 + 12)

10/18 = (3x - 6) / (3x + 6)

Cross-multiply:

18 * (3x - 6) = 10 * (3x + 6)

54x - 108 = 30x + 60

24x = 168

x = 168/24 = 7

The answer is 7.

~ an aesthetics lover

Convert 2.54 x 10^6 into standard notation

Answers

2540000 because when your writing in standard notation, in this situation your moving the decimal point 6 points to the right and filling the places that don’t have numbers with 0s.

Factor xy−4y+4x−16 by grouping

Answers

Answer:

[tex](y+4)(x-4)[/tex]

Step-by-step explanation:

Given the expression:

[tex]xy-4y+4x-16[/tex]

[tex](xy-4y)+(4x-16)[/tex]

Take the common factor

[tex]y(x-4)+4(x-4)[/tex]

[tex](y+4)(x-4)[/tex]

The factored expression is (x - 4)(y + 4).

To factor the expression xy - 4y + 4x - 16 by grouping, we first group the terms in pairs and look for common factors:

xy - 4y + 4x - 16

Now, let's factor by grouping:

Step 1: Group the terms in pairs.

(xy - 4y) + (4x - 16)

Step 2: Factor out the common factor from each group.

In the first group, we can factor out "y" from the two terms:

y(x - 4)

In the second group, we can factor out "4" from the two terms:

4(x - 4)

Step 3: Notice that both groups have a common factor of (x - 4). Factor it out.

(x - 4)(y + 4)

So, the factored expression is (x - 4)(y + 4).

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Janet gets paid $24 per hour . She heard that this is 3/4 of what Adam is paid. How much is Adam paid per hour

Answers

Answer:

$32

Step-by-step explanation:

24/3= 8

8x4= 32

Adam gets paid $32 per hour

The amount Adam paid per hour is $32.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Janet:

Paid per hour = $24

Adam:

Paid per hour = $32

This means,

3/4 = $24

Multiply 4/3 on both sides.

1 = 4/3 x 24

1 = $32

Thus,

Adam paid $32 per hour.

Learn more about fractions here:

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Calculate the producers' surplus for the supply equation at the indicated unit price p.(Round your answer to the nearest cent.) p = 120 + q; p = 165

Answers

Answer: ps = 1012.5

Therefore the producers' surplus for the supply equation at the indicated unit price p is 1012.5

Step-by-step explanation:

Given that;

p = 120 + q ; p = 165

Now to find the producer's surplus for supply equation p=f(q) at the indicated unit price; we find p

so from p = 120 + q ; p = 165, if we substitute for q

120 + q = 165

q = 165 - 120 = 45

so

ps = ⁴⁵₀ ( 165 - (120+q) dq

ps = ⁴⁵₀ ( 45 - q) dq

USING THE EXPRESSION [ xⁿdx = xⁿ⁺¹ / n+1]

ps =  [45q - q²/2]₀⁴⁵

ps = [45(45) - 45²/2] [45(0) - (0)²/2]  

ps =  [2025 - 1012.5] - [0]

ps = 1012.5

Therefore the producers' surplus for the supply equation at the indicated unit price p is 1012.5

Solve for x: |4x + 12| = 16 (5 points) x = 7, x = −7 x = 1, x = −1 x = 1, x = −7 x = −1, x = 7

Answers

Answer:

x =1     x = -7

Step-by-step explanation:

|4x + 12| = 16

Absolute value equations have two solutions, one positive and one negative

4x+12 = 16          4x+12 = -16

Subtract 12 from each side

4x+12-12 = 16-12          4x+12-12 = -16-12

4x =4                               4x =-28

Divide by 4

4x/4 = 4/4                       4x/4 = -28/4

x =1                                   x = -7

F = 2xi+3yj and σ is the cube with opposite corners at (0,0,0) and (3,3,3), oriented outwards. Find the flux of the flow field F across σ.

Answers

Answer:

the flux of the flow field F across σ = 135

Step-by-step explanation:

Given that :

F = 2xi + 3yj

and σ is the cube with opposite corners at (0,0,0) and (3,3,3) oriented outwards.

Using divergence theorem,

[tex]\iint \ F.ds = \iiint \ div. f \ dV[/tex]

[tex]div \ f = \dfrac{\partial }{\partial x}2x + \dfrac{\partial}{\partial y }(3y)[/tex]

f = 2 +3 = 5

where ;

F = 2xi + 3yj

Thus , the triple integral can now be ;

[tex]= \iiint 5.dV[/tex]

[tex]=5 \iiint \ dV[/tex]

[tex]= 5 \ \int^{3}_{0}\int^{3}_{0}\int^{3}_{0} \ dV[/tex]

= 5(3)(3)(3)

= 135

If x, y, and z are positive integers such that xyz+30xy+21xz+2yz+105x+10y+7z=812, find x+y+z.

Answers

Answer:

x= 2, y= 2, and z= 6

Step-by-step explanation:

If this is a Diophantine equation, add 35 to both sides and factor the left:

(3x+1)(2y+7)(z+5) = 847 = 7 times 112

Each integer factorization of 847 into 3 factors leads to a different number/value of x, y, and z. If the first factor, (3x+1), is 1 more than a multiple of 3, and the second factor, (2y+7), is odd, then x, y, and z will be integers.

For example:

847 = 121 times -7 times -1 gives (x, y, z) = (40, -7, -6) because 121 times -7 times -1 is 847 as well, it checks out.

If x, y, and z need to be positive, then the three numbers/factors need to be greater than 1, 7, and 5. The only combination that works is 7 times 11 times 11, which gives (x, y, z) = (2, 2, 6).

:)

The water level at a local pier rises and falls with the tide. Yesterday, the maximum depth of the water
at the pier was 8 feet, and the minimum depth was 4 feet. High tide occurred at 12:00 AM and low tide
occurred at 12:20 PM. Which function models the depth, in feet, of the water at the pier yesterday, as a
function of time t in minutes past high tide?

Answers

Answer:

The function  is  [tex]D = 2sin ( \frac{\pi}{2} - \frac{\pi}{12} t) + 6[/tex]

Step-by-step explanation:

From the question we are told that

    The  maximum depth is [tex]d = 8 \ ft[/tex]

      The  minimum depth is  [tex]d_i = 4 \ ft[/tex]

Generally the average depth is mathematically represented as

       [tex]d_a = \frac{8 + 4}{2}[/tex]

=>   [tex]d_a = 6 \ ft[/tex]

Generally  the amplitude is mathematically represented as

      [tex]A = d - d_a[/tex]

=>    [tex]A = 8 - 6[/tex]

=>    [tex]A = 2[/tex]

Generally the period is  24 hours given that the the interval between the maximum depth and the minimum depth is half a day

Generally the period is mathematically represented as

         [tex]T = \frac{2 \pi }{w}[/tex]

here w is the angular  frequency

So

     [tex]w = \frac{2 \pi}{24}[/tex]

      [tex]w = \frac{\pi}{12}[/tex]

Generally the depth can be modeled with a sin function as follows

     [tex]D = Acos (wt) + d_a[/tex]

Now  from co-function identity we have  that [tex]for \ cos (z) = sin (\frac{\pi}{2} - z)[/tex]

So  

     [tex]D = Asin ( \frac{\pi}{2} - wt) + d_a[/tex]

     [tex]D = 2sin ( \frac{\pi}{2} - \frac{\pi}{12} t) + 6[/tex]

   

     

The function that models the depth, in feet, of the water at the pier yesterday, as a function of time t in minutes past high tide is; D = 2 sin((π/2) - (π/12)t) + 6

We are given;

Maximum depth; d2 = 8 ftMinimum depth; d1 = 4 ft

Thus;

Average depth; d = (d1 + d2)/2

d = (4 + 8)/2

d = 6 ft

Now, to find the amplitude, we will just subtract the minimum depth from the maximum one to get; A = d2 - d1

A = 8 - 6

A = 2 ft

Now, the period T is a whole day which is 24 hours and so we can find the angular frequency ω from the formula;

ω = 2π/T

Thus;

ω = 2π/24

ω = π/12

Now, the general formula for the depth function is given as; D = A sin(π/2 - ωt) + d

Where;

d_i is average depth

Thus;

D = 2 sin((π/2) - (π/12)t) + 6

Read more about sinusoidal functions at; https://brainly.com/question/2410297

Based on the graph which statement is true
A. He needs1 cup of flour for 1 batch
B. He needs 1 cup of flour for 8 batches.
c. He needs 4 cups of flour for 8 batches
He needs 6 cups of flour for 3 batches
How many flour cups are needed per batch of cookie?
1
1.5
2
2.5

Answers

Answer:

D. He needs 6 cups of flour for 3 batches

Which expression is equivalent to 9^36/9^3 ? A) 1/9^12 B) 9^33 C) 9^12 D) 9^39

Answers

Answer:

[tex]\huge\boxed{\dfrac{9^{36}}{9^3}=9^{33}\to\mathbb{B)}}[/tex]

Step-by-step explanation:

[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m},\ \text{for}\ a\neq0.\\\\\text{We have}\ \dfrac{9^{36}}{9^3}=9^{36-3}=9^{33}[/tex]

Is 0.4/0.8 rational or irrational ?

Answers

Answer:

[tex]\Huge \boxed{\mathrm{ Rational }}[/tex]

Step-by-step explanation:

Rational numbers can be expressed as fractions with whole numbers as the numerator and the denominator.

[tex]\displaystyle \frac{0.4}{0.8}[/tex]

Multiply both the numerator and the denominator by 10.

[tex]\displaystyle \frac{4}{8} =\frac{1}{2}[/tex]

The result is a simplified fraction with both the numerator and the denominator being whole numbers. The result is rational.

Which of the following is equal to 5% of 55% of 555?

Answers

Answer:

Step-by-step explanation:

The correct answer is 15.15.

The solution is 15.2625

The value of the equation 5% of 55% of 555 is A = 15.2625

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as n = 555

Now , let the equation be represented as A

The value of A = 5% of 55% of 555

On simplifying the equation , we get

55 % of 555 = 555 x ( 55/100 )

55 % of 555 = 555 x 0.55

55 % of 555 = 305.25

Now , 5% of 55% of 555 = A

A = 5 % of 305.25

The value of A = 305.25 x ( 5/100 )

The value of A = 305.25 x ( 0.05 )

The value of A = 15.2625

Hence , the value of the equation is A = 15.2625

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Order the expressions from least to greatest.
3^2
2^3– 2^1
2^1+3^1

Answers

Answer:

2¹+3¹ , 2³ -2¹ , 3²

Step-by-step explanation:

to know the magnitude of the value of each expression 3² =9 ,

2³ -2¹ =8-2=6

2¹ +3¹ = 5

f(x)=x2–5x+7, find f(3)

Answers

Answer:

[tex]f(3) = 1[/tex]

Step-by-step explanation:

f(x) = x² - 5x + 7

To find f(3) substitute the value of x that's 3 into f(x) that's replace every x in f (x) by 3

We have

[tex]f(3) = {3}^{2} - 5(3) + 7 \\ = 9 - 15 + 7 \\ = - 6 + 7[/tex]

We have the final answer as

[tex]f(3) = 1[/tex]

Hope this helps you

Perform the indicated operation(s). Write your answer in lowest terms.
7/10÷7/4 = ???

Answers

Answer:

76/86

Step-by-step explanation:

Answer:

76/86 is the answer it is the lowest term

A right triangle has the following vertices (7,-3), (4,-3), (4,9) find the area of a right triangle

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

36 square units

How do you find slopes at specific points with tangent functions??

Answers

Step-by-step explanation:

The slope of the tangent line of a function f(x) is the derivative, f'(x).

Here, we can use exponent rule to find the derivatives:

If y = xⁿ, then y' = nxⁿ⁻¹.

7. g(x) = x²

g'(x) = 2x

g'(2) = 4

8. g(x) = x² − 4x

g'(x) = 2x − 4

g'(1) = -2

9. g(x) = 5/(x + 3)

g(x) = 5 (x + 3)⁻¹

g'(x) = -5 (x + 3)⁻²

g'(-2) = -5

How are the two angles the same?

Answers

Answer:

if ABCD is a rhombus then the diagonal of rhombus bisect it into two equal triangles.

Step-by-step explanation:

In triangles ABC and CDA,

AB= CD (S) because rhombus has equal sides.BC = AD (S) as as reason 1.AC= AC (S) being common side of both triangles

so the triangles are congruent to each other by S.S.S. fact/ axiom

40.7 is the same as 4.07

Answers

Answer:

That would be false

Step-by-step explanation:

if you look at where the decimal is, 40.7 would be bigger

Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3

Answers

Answer:

-15

Step-by-step explanation:

start from the inside and go out.

So first plug in -3 into g(x)

g(-3) = -3 - 7 = -10

then plug in -10 into f(x)

f(-10) = 2(-10) + 5 = -15

so f(g(x)) = -15

Answer:

The answer is - 15

Step-by-step explanation:

f(x) = 2x + 5

g(x) = x − 7

To find f(g(x)) substitute g(x) into f(x) that's replace every x in f(x) by g(x)

That's

f(g(x)) = 2(x - 7) + 5

= 2x - 14 + 5

f(g(x)) = 2x - 9

When x = - 3

Substitute - 3 into f(g(x))

That's

f(g(3)) = 2(-3) - 9 = - 6 - 9 = - 15

Hope this helps you

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