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Andre45 [30]
3 years ago
10

Percent Problems

Mathematics
1 answer:
Karolina [17]3 years ago
7 0
The correct answer is D. 337.5
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Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection. are the given families of curv
Akimi4 [234]
Hello,

P(x,y)=x^2+y^2-ax=0\\\\
\dfrac{\partial{P}}{\partial{x}}=2x-a\\\\
\dfrac{\partial{P}}{\partial{y}}=2y\\\\


Q(x,y)=x^2+y^2-by=0\\\\
\dfrac{\partial{Q}}{\partial{x}}=2x\\\\
\dfrac{\partial{Q}}{\partial{y}}=2y-b\\\\

\dfrac{\partial{P}}{\partial{x}}*\dfrac{\partial{Q}}{\partial{x}}+\dfrac{\partial{P}}{\partial{y}}*\dfrac{\partial{Q}}{\partial{y}}=(2x-a)*2x+2y(2y-b)\\
=4x^2+4y^2-2ax-2by\\
=2(2x^2+2y^2-ax-by)\\
=2*P(x,y)+Q(x,y))\\
=2*(0+0)=0\\\\

Answer YES

5 0
3 years ago
Peter has $4.80 in his piggy bank, consisting of dimes and quarters. If there are 33 coins in all, how many of each does he have
yaroslaw [1]

Answer:

10 quarters, 23 dimes

Step-by-step explanation:

Make dimes = d and quarters = q. Let the number of dimes and quarters add up to 33 and the value of the dimes and quarters add up to 4.80. The system of equations should look like:

  • d + q = 33
  • 0.10d + 0.25q = 4.80

Solve for d in the first equation. Subtract q from both sides.

d = 33 - q

Substitute d into the second equation.

0.10(33 - q) + 0.25q = 4.80

Distribute 0.10 inside the parentheses.

3.3 - 0.10q + 0.25q = 4.80

Combine like terms.

3.3 + 0.15q = 4.80

Subtract 3.3 from both sides.

0.15q = 1.5

Divide both sides by 0.15.

q = 10

Substitute this value of q into where we solved for d (d = 33 - q).

d = 33 - (10)

d = 23

6 0
4 years ago
What is the inverse of the following statement?
Ksju [112]

The inverse of the statement is 'If it is Wednesday, then it is not sunny'

<h3>What is the inverse of a word?</h3>

The inverse of a word is simply the contrary nature or quality and could be termed opposite or  reverse of a proposition or theorem that is formed by'

  • contradicting both the subject and predicate
  • Contradicting both the hypothesis and conclusion of a given proposition or theorem

For instance, the inverse of "if A then B" is "if not-A then not-B"  and 'if not A, then B" is 'If A, not B ' is termed a compare contrapositive

From the information given, we have;

'If it is not Wednesday, then it is sunny'

We can see that the inverse of the proposition is;

'If it is Wednesday, then it is not sunny'

Thus, the inverse of the statement is 'If it is Wednesday, then it is not sunny'

Learn more about inverse here:

brainly.com/question/14391067

#SPJ1

6 0
2 years ago
What is the volume of a sphere with a radius of 7 cm? Sphere V = 4 3 πr3 1. Substitute the radius into the formula:    V = 4 3 π
netineya [11]

Answer:

1436.75504 or 1372/3π cm^3

Step-by-step explanation:

The volume of a sphere can be found using:

V = 4/3 πr^3

We know the radius is 7, so we can substitute 7 in for r

V = 4/3 π7^3

Evaluate the exponent

V = 4/3 π 343

If we want the answer in terms of pi, multiply the two other numbers, that are not pi: 4/3 and 343.

v= (4/3*343)π

v=1372/3π

If we want an exact answer, multiply 1372/3 and pi

v=1436.75504

So, the volume is 1436.75504 or 1372/3 π cm^3

4 0
4 years ago
Read 2 more answers
Help pleaseeeeeeeeeee​
REY [17]

Answer: y=9

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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