40= x²-y²
21= xy
find x and y​

Answers

Answer 1

On solving the provided question, we can say that - the equation, 21 = xy; 40 = [tex]x^2-y^2[/tex] x= 2 and y = 2

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

21 = xy;

40 = [tex]x^2-y^2[/tex]

x= 2

and

y = 2

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Related Questions

One solution.

2x - 1 = ____x - 1

Answers

so since the problems are the same the answer would be 2

the blank space must be 2 or x must be zero, I don't know what you mean by one solution

the blank must equal 2 because on the right side the coefficient of x is 2 so it must be same

What is the radius of a globe that has a volume of 268.08 in³?

Answers

Answer:

4 inches is the radius

Step-by-step explanation:

Write the ratio for Sin M.

Answers

Answer:

i forgot

Step-by-step explanation:

About how many pieces of 3 1/2 inch wood can be cut from a 34-inch piece of wood?

Please, may someone help me?? 25 points on the line

Answers

9 pieces of 3.5 inch wood can be cut

Use Exponential Functions

Complete the table for the following function

Graph the function and describe what the graph looks like.

a. Increases in Quadrant
b. Increases from left to right
c. Decreases from left to right
d. Decreases in Quadrant III

Please select the best answer from the choices provided

Answers

Answer:

B. Increases from left to right

Step-by-step explanation:

I calculated it logically

Lance Greene receives $2.20 per piece he
completes plus a 10% bonus for each piece he
completes over 180 pieces. Last week he
completed 210 pieces. Find his gross pay.

Answers

The gross price for the 210 pieces that Lance completed last week is $468.6.

What is percentage?

Percentage is a measurement to find value of given number out of hundred.

Given that,

Amount received by Lance Greene for one piece = $2.20.

Also, Lance gets 10% bonus per piece after 180 pieces.

Given that, last week Lance completed 210 pieces .

Price for 210 piece = 210 x 2.20  = 462

Also, bonus gets by Lance on 30 pieces = 30 x 2.2 x 10/100 = 6.6

Total price = 462 + 6.6 = 468.6

The required gross price is $468.6.

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Juan is selling tickets for a high school playChild tickets cost $3 and adult tickets cost $10. He selts 205 tickets and collects $1560

Answers

Answer:

135 Adult tickets and 70 Child tickets sold

Step-by-step explanation:

135*10 (adult ticket price) = 1,350

70*3 (child ticket price) = 210

$1,350 + $210 = $1,560

135 + 70 = 205 tickets sold

In some cities you can rent a car for $18 per day and $0.20 per miles. a. Find the cost of renting the car for one day and driving 200 miles.

Answers

The cost of renting the car for one day and driving 200 miles is $54.

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, In some cities you can rent a car for $18 per day and $0.20 per miles.

Establishing the equation for finding total cost y for x miles and d days

y = 18d + 0.2x

For 200 miles, the cost =

y = 18×1+0.20×200

y = 18+40

y = $54

Hence, the cost of renting the car for one day and driving 200 miles is $54.

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a restaurant offers 7 appetizers and 9 main courses. In how many ways can a person order a two-course meal

Answers

Hint: try listing them and mixing and matching to find ur answer

m × m × r = 5 × 4 × 5; then r =​

Answers

Answer: 5

Step-by-step explanation:

HELP ME !! AND EXPLAIN HOW YOU GOT IT.


PLEASE ANSWER !! ILL GIVE BRAINLIEST !!

50 POINTS !!

FAKE ANSWERS WILL GET REPORTED .

Answers

Answer:

B =90  A= 55 C=35

Step-by-step explanation:

B is a  right angle =90 degrees

The sum of all angle in a triangle is 180

so the other 2 angles sum 90

(5x+5) +(3x+5) = 90

8x+10 =90

8x= 80

x= 10

 A:     5x10 +5 = 55

  B 3x10 +5 = 35

90+ 55+35 =180

Find the volume of the solid

Answers

Volume = h × l × b

= 3.6 × 2.1 × 1.5

= 11.34 m³

what is the answer
................................................

Answers

Answer:

1/5

Step-by-step explanation:

2/5x1/2=2/10=1/5

help please please please please!!​

Answers

Work out the circumference of one of the circles and multiply that by 15 to work out the area of the curved part. Then add on the area of the top and bottom circles.

A community theater performed a play each Saturday evening for 10 consecutive
weeks. The graph shows the attendance for the performances in weeks 1, 4, 6, and 10.
Describe the rates of change in attendance with respect to time.
Weeks 1-4:
Weeks 4-6:
Weeks 6-10:
300
250
200
150
100
50
y
Attendance
Play Attendance
(4, 230)-
(1,131)
(6,208)
(10,60)
Week of performance
0
0 1 2 3 4 5 6 7 8 9101112

Answers

The rates of change in attendance in week 1-4 is 33, week 4-6 is -11, week 6-10 is -37 people per week

What is rate of change of attendance?

The rate of change in attendance with respect to time is calculated by taking the difference in attendance between two weeks and dividing by the number of weeks between those weeks. This is done to find the average rate of change in attendance per week. The formula used is:

[tex]Rate =\frac{Attendance at week 2 - Attendance at week 1}{week 2 - week 1}[/tex]

Weeks 1-4:

The rate of change in attendance with respect to time is 33 people per week. This can be calculated by taking the difference in attendance between weeks 1 and 4 (230-131) and dividing by the number of weeks between those weeks (4-1 = 3).

[tex]rate =\frac{230-131}{4-1}\\[/tex]

hence rate is 33 people per week

Weeks 4-6:

The difference in attendance between weeks 4 and 6 (230 - 208)

The number of weeks between those weeks (6-4 = 2).

[tex]rate =\frac{208-230}{6-4}[/tex]

Hence rate is -11 people per week

Weeks 6-10:

The difference in attendance between weeks 6 and 10 (60-208)

The number of weeks between those weeks (10-6 = 4).

[tex]rate=\frac{60-208}{10-6}[/tex]

Hence rate is -37 people per week

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Select the correct answer.
Simplify the expression.

Answers

Answer:

The answer to the question is C

Which of the following is a true proportion of the figure based on the triangle proportionality theorem?

Answers

Answer: [tex]\frac{c}{d} = \frac{a}{b}[/tex]

Step-by-step explanation:

By the given figure, the triangle's sides appear congruent. By the Segment Addition Postulate:

RT + TQ = RQ and

RU + US = RS

Substitute this with the given variables.

c + d = RQ

a + b = RS

From this, we can create the following proportion:

[tex]\frac{c}{d} = \frac{a}{b}[/tex]

Find the volume. Find the volume=

Answers

Volume of trianglular prism:

= ½ × b × h × l

= ½ × 8 × 4 × 7

= 4 × 28

= 112 cm³

Answer:

112 sq cm

Step-by-step explanation:

8x4=32

32/2=16

16x7=112

Solve the system of equations -x-y=-2 and 5x + 7y= 28 by combining the
equations.

Answers

The value of x = -7 and y = 9 from the system of equations .

What is System of Equation ?

A finite collection of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

To create an equation in one variable using the elimination approach, you may either add or subtract the equations. To remove a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

The equations are :

-x - y = -2          (i)

and

5x + 7y = 28        (ii)

multipling eqation (i) with 5 and then adding both equations we get,

-5x - 5y +5x + 7y = -10 + 28

⇒ 2y = 18

⇒ y = 9

Again, -x -9 = -2

or, x = -7

The value of x = -7 and y = 9 from the system of equations

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an ore is 1 1/2% pure silver. how much ore is needed to obtain 30 kilograms of silver?

Answers

Proportionately, the quantity of ore required to obtain 30 kilograms of silver is 2,000 kilograms.

What is proportion?

Proportion refers to two or more ratios equated to each other.

We can use decimals, fractions, or percentages to show the proportional value of one quantity or variable to another.

The quantity of ore that can produce 30 kilograms of silver, based on the given proportion, can be obtained by equating the ratio to the required silver quantity.

The percentage of ore that is pure silver = 1¹/₂% = (0.015)

The quantity of silver needed = 30 kilograms

The quantity of ore that can produce 30 kilograms of silver = 2,000 kilograms (30/0.015)

1¹/₂% = 30 kg

100% = 2,000 kg (30/1¹/₂%)

Thus, given the ratio or proportion of pure silver to ore, the quantity of ore needed to obtain 30 kilograms of silver is 2,000 kilograms.

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Write a Linear Equation in the form y = mx + b for the following situation: Syd and her friends are washing cars over the summer. Without a membership, each car costs $10 to wash. With a membership, you would pay a $10 flat fee and receive washes for only $4 per car! Which linear equation below reflects the cost per car with a membership? *

Answers

Answer:

y=4x+10

Step-by-step explanation:

If $10 is a flat fee, then that is your constant; it doesn't change.

If $4 per car, then 4 is your coefficient.

Therefore, your equation is y=4x+10

Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x - 4.
y = 3x + 7
y = 3x - 7
y= 1/3x+2
y=1/3x-2

Answers

Answer:

[tex]y=3x-7[/tex]

Step-by-step explanation:

Parallel Lines:

Parallel lines, by definition, never intersect. They have the same slope but different y-intercepts (otherwise they would be the same line) on a graph.

Slope-Intercept Form:

Slope-Intercept form is expressed as: [tex]y=mx+b[/tex], where

[tex]m = \text{slope}[/tex][tex]b = \text{y-intercept}[/tex]

This form is super useful for linear equations as it gives us the two key features of a linear equation. It's how each of the options are formatted, so we know we'll have to use this form.

Generally Finding a Parallel Line:

The line is parallel to [tex]y=3x-4[/tex], meaning it has a slope of 3, but also a y-intercept other than -4 (otherwise they would be the same equation).

So we can generally form an equation: [tex]y=3x+b\text{, }b\ne-4[/tex], so we can plug any value for "b" here (except -4) and have a parallel line

Finding a line passing through a point:

Since we not only want to find a parallel line, but also one that passes through a specific point, we can use our general parallel equation: [tex]y=3x+b\text{, }b\ne-4[/tex], and plug in known values. We of course already have the slope plugged in, but now we have a (x, y) coordinate, which we can plug in for x and y in the equation.

Original Equation:

[tex]y=3x+b[/tex]

Point given: (3, 2), substitute in x=3 and y=2:

[tex]2=3(3)+b[/tex]

Simplify:

[tex]2=9+b[/tex]

Subtract 9 from both sides:

[tex]-7=b[/tex]

Now we can take this value. and plug it back into the general equation:

[tex]y=3x+(-7)\implies y=3x-7[/tex]

Now we have our answer!

find each angle measure to the nearest degree
Find m.
E
F
1.25 m
3 m
D
if correct will mark brainless :))

Answers

EF=2.73m;m<D

=65;m<F=25*

Hope this helps

Kiara invested some money into a savings account that earns 2.7% annual simple interest. At the end of 5 years, she earned $6.62 in interest. How much money did she put into the account initially? Round to the nearest dollar.

Answers

The initial amount that was invested in the account was $49.

What is the principal?

We know that we can be able to obtain the principal by the use of the formula for the simple interest and by that formula we would now have that;

I = PRT/100

I = interest

P = principal

R = rate

T = time

Then we are going to have that;

R = 2.7

P = ?

I = 6.62

T = 5

Then;

6.62 = P * 2.7 * 5/100

6.62 * 100 =  P * 2.7 * 5

P = 6.62 * 100/2.7 * 5

P = 662/13.5

P = 49

Thus we have but in at the beginning about $49

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What is the total surface area of the square pyramid below?

A square pyramid. The square base has side lengths of 6 meters. The triangular sides have a height of 8 meters.

132 m2
144 m2
160 m2
228 m2

Answers

Answer:

Its 144

Step-by-step explanation:

I did it on a test

The surface area of the square pyramid is 132 m²

How to the surface area of a square pyramid?

For a square pyramid whose base has sides that measure b, and height h, is:

S = b*b + 4*(b*h)/2

In this case, we have:

b = 6mh = 8m

Replacing that in the surface area equation, we get:

S = (6m*6m) + 4*(6m*8m)/2 = 132 m²

So the correct option is the first one.

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7sur 15 plus 6sur25 FRACTION

Answers

Answer:

53/75

Step-by-step explanation:

15 = 3 × 5

25 = 5²

PPCM = 3 × 5² = 75

75/15 = 5

75/25 = 3

7/15 + 6/25 =

= (7 × 5)/(15 × 5) + (6 × 3)/(5 × 3)

= 35/75 + 18/75

= 53/75

What is the domain of the function represented by this graph?

A. X>4
B. X<0
C. All real numbers
D. -2

Answers

Answer:

All real numbers

Step-by-step explanation:

When looking at what numbers of x could be part of the functio, we can see that all real numbers can be found in this function for x

Which of these systems of equations has infinitely many solutions? Explain your choice(s).
a. (1/2)x - 5y = 10
(-1/2)x + 5y = -10
b. 7x + 2y = -14
-7x + 2y = -14
c. x + 6y = -18
x - 6y = 18
d. (3/4)x - 9y = 12
(-3/4)x + 9y = 12

Answers

The system of equations in C) x + 6y = -18 and x - 6y = 18 has infinitely many solutions.

To see this, you can solve for x in one of the equations and substitute that expression for x in the other equation. For example, if you solve for x in the second equation, you get:

x = 18 + 6y

Substituting this expression for x in the first equation gives:

(18 + 6y) + 6y = -18
24y = -36
y = -1.5

Substituting this value for y back into the expression for x gives:
x = 18 + 6y = 18 + 6(-1.5) = 18 - 9 = 9

So, one solution to the system of equations is (x, y) = (9, -1.5). However, since there is a variable on both sides of the equation, there are infinitely many solutions to this system of equations.

All of the other systems of equations have either no solutions or exactly one solution.

Fill in the blanks below in order to justify whether or not the mapping shown represents a function. Set A 5 0 7 Set B -2 9 -1 -3 The mapping diagram above a function since in where there .

Answers

The mapping does not represents a function

How to identify a function?

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

In this case, for the mapping represent a function, every element in set A must be mapped to exactly one element in set B.

Since there is more than one arrow from set A (5) pointing to different values in set B (-2 and 9), then it is not a function. Also, the two different value (5 and 7) in set A has the same value (-2) in set B.

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Students have a height is less than what number 58?62?64?70?

Answers

Answer:

C 64 students have half the height

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