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Alenkinab [10]
3 years ago
8

4x^2-24x+4y^2+72y=76

Mathematics
1 answer:
podryga [215]3 years ago
7 0
<span>Simplifying 4x2 + -24x + 4y2 + 72y = 76
Reorder the terms: -24x + 4x2 + 72y + 4y2 = 76
Solving -24x + 4x2 + 72y + 4y2 = 76
Solving for variable 'x'.
Reorder the terms: -76 + -24x + 4x2 + 72y + 4y2 = 76 + -76
Combine like terms: 76 + -76 = 0 -76 + -24x + 4x2 + 72y + 4y2 = 0
 Factor out the Greatest Common Factor (GCF), '4'. 4(-19 + -6x + x2 + 18y + y2) = 0
 Ignore the factor 4.

</span><span>Subproblem 1
Set the factor '(-19 + -6x + x2 + 18y + y2)' equal to zero and attempt to solve: Simplifying -19 + -6x + x2 + 18y + y2 = 0 Solving -19 + -6x + x2 + 18y + y2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.
The solution to this equation could not be determined.</span>
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Which sequences are arithmetic? Check all that apply.
spin [16.1K]

Answer:

3)    18, 5.5, –7, –19.5, –32, …   sequence is in Arithmetic Progression.

5)     16, 32, 48, 64, 80         sequence is in Arithmetic Progression.

Step-by-step explanation:

If, a, b, c ,k, e ... is a given sequence.

Then the above sequence is in AP if b - a   =  c - b = k - c = ...

or, each term has same COMMON DIFFERENCE (d).

Here, take each sequence and check for the value of d.

1) –5, 5, –5, 5, –5, …

Here, 5 - (-5)  = 10,   -5 - 5  = -10

and 10 ≠ -10.  So the sequence is NOT in Arithmetic Progression.

2)96, 48, 24, 12, 6

Here, 48 - 96  = -48,   24 - 48  = -24

and -48 ≠ -24.  So the sequence is NOT in Arithmetic Progression.

3)18, 5.5, –7, –19.5, –32, …

Here, 5.5 - 18 = -12.5    ,  -7 - 5.5 = -12.5  ..

and -12.5 is the common difference.  

So the sequence is in Arithmetic Progression.

4)–1, –3, –9, –27, –81, …

Here, -3-(-1)  =  - 2     -9 - (-3)  = -6

and -2 ≠ -6.  So the sequence is NOT in Arithmetic Progression.

5)16, 32, 48, 64, 80

Here, 32 - 16 = 16    ,  48  - 32= 16  ..

and 16 is the common difference.  

So the sequence is in Arithmetic Progression.

6 0
3 years ago
Read 2 more answers
Solve the following equation algebraically:
Gre4nikov [31]

Answer:

\boxed{\sf \ \ \ answer \ b. \ \ +5 \ \ \ }

Step-by-step explanation:

Hello

let's assume that we are looking for x >=0

4x^2=100  \dfrac{4x^2}{4}=x^2=\dfrac{100}{4}=25\\\sqrt{x^2}=25\\ |x| = 5  x = 5 \ or \ x=-5

Let's assume that we are looking for x>=0

so the correct answer is 5

8 0
3 years ago
Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amo
Vika [28.1K]

The equation that represents this situation while the variable s representing the amount of dough needed , for a small pizza is (5/2)S = (3/2)S + S  .

In the question ,

it is given that

amount of dough for a medium pizza is 3/2 times the amount of dough for small pizza ,

let the amount of dough required for small pizza = S

let the amount of dough required for large pizza = L

let the amount of dough required for medium pizza = M

So , M = (3/2)S

and amount of dough for a large pizza is 5/2 times the amount of dough for small pizza ,

that is

L = (5/2)S

amount of dough used for one large pizza is equal to the amount of dough used for one medium and one small pizza ,

that is L = M + S .

Substituting the value of L and S , we get

(5/2)S = (3/2)S + S

We have a linear equation that is true for all S , there is no unique solution to this equation .

Therefore , The equation that represents this situation is (5/2)S = (3/2)S + S .

The given question is incomplete , the complete question is

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

Write an equation to represent this situation while the variable s representing the amount of dough needed , for a small pizza .

Learn more about Equation here

brainly.com/question/17026235

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4 0
1 year ago
A tennis club has 560 members.
enyata [817]

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 5 + 6 + 3 = 14 parts

Divide number of members by 14 to find the value of one part of the ratio.

560 ÷ 14 = 40 ← value of 1 part of the ratio

(i)

number of women = 6 × 40 = 240

(ii)

number of children = 3 × 40 = 120

8 0
3 years ago
Find the volume of the triangular prism 3cm 4 cm 5cm 11cm
vichka [17]

Answer:

82.5cm²

Step-by-step explanation:

The volume of a triangular prism is : V = 1/2 * a * c * h

V = 1/2 * 3 * 5 * 11

= 165/2

= 82.5cm²

4 0
3 years ago
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