answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
viktelen [127]
2 years ago
11

I need to solve this equation: x= r-h/ y for h and then for r

Mathematics
2 answers:
ololo11 [35]2 years ago
7 0
X= r-h/y
h= xy-r/-1
r= xy+h
Romashka [77]2 years ago
3 0

Answer:

h=r-xy

r=xy+h

Step-by-step explanation:

x=\frac{r-h}{y}

Solve the equation for h

We need to get 'h' alone

x=\frac{r-h}{y}

multiply y on both sides

xy=r-h

Now add h on both sides

xy+h=r

Subtract xy from both sides

h=r-xy

Now solve the equation for 'r'

x=\frac{r-h}{y}

multiply y on both sides

xy=r-h

Now add h on both sides

xy+h=r

r=xy+h

You might be interested in
The table represents a linear function. A two column table with six rows. The first column, x, has the entries, negative 2, nega
Radda [10]

Answer: The slope is 3

Step-by-step explanation:

For each unit of run in the x-values, there is an increase of 3 in the y-values. Slope is Rise over Run so 3/1 = 3

8 0
2 years ago
Read 2 more answers
2. Ella invests $2,000 in an account that pays a 4% annual interest rate, compounded continuously. What is the value of her acco
Mademuasel [1]

Answer: $2,442

Step-by-step explanation:

P=2000

r= 4%= 4/100= 0.04

t= 5 years

A is therefore 2000e0.04(5)

=2000e0.2

=$2,442.8

To the nearest dollar will give $2,442

7 0
2 years ago
What is the length of the hypotenuse of the triangle below?
liberstina [14]

Answer:

\boxed{B. Hypotenuse = 10}

Step-by-step explanation:

By applying <em>Pythagoras theorem</em> we can find hypotenuse of a right angle triangle.

Side of right angle triangle (a) = 5√2 cm

Side of right angle triangle (b) = 5√2 cm

Hypotenuse² = a² × b²

{Hypotenuse}^{2}  =  {(5 \sqrt{2} )}^{2}  \times  {(5 \sqrt{2} )}^{2}  \\  \\  {Hypotenuse}^{2}  = (25 \times 2) + (25 \times 2)\\  \\  {Hypotenuse}^{2}  = 50 + 50\\  \\ {Hypotenuse}^{2}  = 100\\  \\   {Hypotenuse}^{ \cancel{2}}  =  {10}^{ \cancel{2}}  \\  \\   Hypotenuse = 10

7 0
1 year ago
Read 2 more answers
Explain why you would make one of the addends a tens number when solving an addition problem
leonid [27]
<span> You refer to a multiple of ten. As a multiple of ten you can just add it to another number easier than a "ones number".</span>
4 0
1 year ago
Determine if each of the following sets is a subspace of ℙn, for an appropriate value of n. Type "yes" or "no" for each answer.
xxMikexx [17]

Answer:

1. Yes.

2. No.

3. Yes.

Step-by-step explanation:

Consider the following subsets of Pn given by

1.Let W1 be the set of all polynomials of the form p(t)=at^2, where a is in ℝ.

2.Let W2 be the set of all polynomials of the form p(t)=t^2+a, where a is in ℝ.

3. Let W3 be the set of all polynomials of the form p(t)=at^2+at, where a is in ℝ.

Recall that given a vector space V, a subset W of V is a subspace if the following criteria hold:

- The 0 vector of V is in W.

- Given v,w in W then v+w is in W.

- Given v in W and a a real number, then av is in W.

So, for us to check if the three subsets are a subset of Pn, we must check the three criteria.

- First property:

Note that for W2, for any value of a, the polynomial we get is not the zero polynomial. Hence the first criteria is not met. Then, W2 is not a subspace of Pn.

For W1 and W3, note that if a= 0, then we have p(t) =0, so the zero polynomial is in W1 and W3.

- Second property:

W1. Consider two elements in W1, say, consider a,b different non-zero real numbers and consider the polynomials

p_1 (t) = at^2, p_2(t)=bt^2.

We must check that p_1+p_2(t) is in W1.

Note that

p_1(t)+p_2(t) = at^2+bt^2  = (a+b)t^2

Since a+b is another real number, we have that p1(t)+p2(t) is in W1.

W3. Consider two elements in W3. Say p_1(t) = a(t^2+t), p_2(t)= b(t^2+t). Then

p_1(t) + p_2(t) = a(t^2+t) + b(t^2+t) = (a+b) (t^2+t)

So, again, p1(t)+p2(t) is in W3.

- Third property.

W1. Consider an element in W1 p(t) = at^2and a real scalar b. Then

bp(t) = b(at^2) = (ba)t^2).

Since (ba) is another real scalar, we have that bp(t) is in W1.

W3. Consider an element in W3 p(t) = a(t^2+t)and a real scalar b. Then

bp(t) = b(a(t^2+t)) = (ba)(t^2+t).

Since (ba) is another real scalar, we have that bp(t) is in W3.

After all,

W1 and W3 are subspaces of Pn for n= 2

and W2 is not a subspace of Pn.  

6 0
2 years ago
Other questions:
  • Jenny wants to earn $1,300 by the end of the summer. How much more will she need to meet her goal?
    10·2 answers
  • Which expression is equivalent to -9x^-1y^-9/-15x^5y^-3? Assume x is not equal to 0,y is not equal to 0
    10·2 answers
  • Consider the diagram and the paragraph proof below. Given: Right △ABC as shown where CD is an altitude of the triangle Prove: a2
    11·2 answers
  • A bag contains 4 tan socks and 7 grey socks. emily reaches into the bag and randomly selects two socks without replacement. what
    9·1 answer
  • Which explains why Ramone’s equation has no solution?
    12·2 answers
  • What value of b will cause the system to have an infinite number of solutions? A system of equations. y equals 6 x plus b. negat
    5·2 answers
  • Approximately 80,000 marriages took place in the state of New York last year. Estimate the probability that for at least one of
    9·1 answer
  • Emily participates in a trivia quiz show. In each round, 20 points are awarded for a correct answer and 10 points are deducted f
    8·1 answer
  • The table shows the relationship in expense between packages of soup and cans of soup. What is the missing value in the table?​
    15·1 answer
  • Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!