The sum of the squares of two positive numbers is 109. The difference of their squares is 91. Find the two
numbers.

Answers

Answer 1

Answer:

3 and 10

Step-by-step explanation:

x² + y² = 109

x² - y² = 91

Add the equations

2x² = 200

x² = 100

x = 10

Substitute x² = 100 into either equation

100 - y² = 91

y² = 9

y = 3


Related Questions

math math math math 4 you (it's easy)

Answers

I mean if you do the math the answer it gives is 904.78 I know know the exact unless it wants it rounded so like 905 lol the formula is 4/3·3.14·r^3

Answer:

The formula used here would be V = 4/3 πr³

Step-by-step explanation:

2r=d

r=12/2

r=6 V=4

4/3 π r3 =4

4/3·π·6(cube)≈904.77868can be written as 905

Find the area of the trapezoid 6.5 cm 9 cm 18.5 cm

Answers

Answer:

if the 'a base' is 6.5 & the height is 9 & 'b base' is 18.5, the answer is a = 112.5 cm^3

In a classroom,1/6,of the students are wearing blue shirts,and 2/3 are wearing white shirts. There are 12 students in the classroom,ow many students are wearing shirts other than blue shirts or white shirts?

Answers

Answer:

2

Step-by-step explanation:

1/6 x 12 = 2

2/3 x 12 = 8

8 + 2 = 10

12 - 10 = 2

Answer:

2 not wearing either blue or white

Step-by-step explanation:

Find out the fraction that represents those that are wearing either blue or white. Let x be that fraction

x = 2/3 + 1/6

Change 2/3 and 1/6 to 12ths. because there are 12 students in the class.

2/3 = 2*4 / (4 *O 4) = 8/12

1/6 = 2*1/(2 * 6) = 2 / 12

x = 8/12 + 2/12

x = 10/12   Normally you would reduce this fraction because we are not using the Lowest common Denominator. In this case we just leave it.

There are 12/12 - 10/12 = 2/12 that are missing.

So 2 people are Not wearing either blue or white.

What is 2.6 * 10 ^ 5 written in standard notation? A. 26, 000 O B. 2, 060, 000 O C. 20,600 O D. 260, 000 O E. 2, 600, 000 O F. 206, 000

Answers

Answer:260000

Step-by-step explanation:

Lines AB and CD are perpendicular to each other. If 3 measures (4x + 4)°, and 4 measures 26°, what is the value of x?
Please justify your answer, I really don't understand it.

Answers

9514 1404 393

Answer:

  A  x = 15

Step-by-step explanation:

Lines AB and CD being perpendicular means the angles where they meet are all 90°. The diagonal line divides two of those 90° angles into two parts (each). The whole (90°) is the sum of the parts into which the angle has been divided.

The sum of angles 3 and 4 is 90°. Once you understand this relationship, you can write an equation based on the relationship. The equation can be solved in the usual way.

  (4x +4)° +26° = 90°

  4x = 60 . . . . . . . . . . . . divide by °, subtract 30

  x = 15 . . . . . . . . . . divide by 4

What is 1.05 x 10^8 written in standard notation?

Answers

Answer:

105000000

Step-by-step explanation:

Since the exponent of the scientific notation is positive, move the decimal point 8  places to the right.

After writing the expression in standard form we get 105000000

What are exponents ?

An exponent is a number or letter written above and to the right of a mathematical expression called the base. It indicates that the base is to be raised to a certain power.

The given question is 1.05 * 10⁸

It has to be written in the standard format

The exponent 8 on 10 means base 10 is multiplied 8 times.

therefore

1.05 * 10*10*10*10*10*10*10*10

On solving this we get

105000000 is what we get after writing the expression in standard form.

To know more about Exponent

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How many quadrilaterals can I construct with four right angles

Answers

Answer:2

Step-by-step explanation:

yup two quadrilaterals

I need a little help. (The question is on the screenshot by the way)

Answers

Answer:

45

Step-by-step explanation:

the answer iud D

Answer:

[tex] \boxed{8} < \sqrt{80} < \boxed{9}[/tex]

Step-by-step explanation:

[tex]\sqrt{80} =8.94427191[/tex]

Since, 8.94427191 falls between 8 and 9.

[tex] \therefore \: \boxed{8} < \sqrt{80} < \boxed{9}[/tex]

The hungry caterpillar was 5.4 feet away from his favorite leafy bush. He crawled 1.2 feet every hour to reach the leaves. How many hours did it take him to reach the bush?

Answers

Answer:

About 4.5 hours

Step-by-step explanation:

find the volume of this

Answers

Can we see your other answer choices

Avery spent 170 minutes outside. If
she spent 64 minutes riding her bike,
48 minutes on the trampoline, and the
rest of the time swimming, how many
minutes did Avery spend swimming?

Answers

Answer:

58 minutes

Step-by-step explanation:

s = 170 - 64 - 48

s = 58

Answer:

Avery spent 58 minutes swimming

Step-by-step explanation:

WILL



GIVE BRAINLIST



ANSWER


MATH

Answers

Here you go
Hopefully you can read it ;)


Please help!!!
Select the correct answer

Answers

The answer is c ! Have a great day love

what is a valid inference?

Answers

Answer: give more info

Step-by-step explanation: i think this deserves a brainlyest

The sequence of the differences, 2, 4, 8, 16, 32, … is a geometric sequence with:

a1 =
and r1 =

*Please Help**

Answers

Answer:

r1 is given by the formula an=a1r.n-1

Step-by-step explanation:

Answer:

a1 = 2

r1 = 2

yayyyyyyyyyyyyyyyyyyyyyyyyy

The area of the largest cross section of a sphere and the circumference of the sphere are in the ratio 4:1.

The radius of the sphere is ___cm. The circumference of the sphere is about ___cm. The area of the largest cross section is about____ cm. The volume of the sphere is about ___cm​

Answers

Answer:

[tex](a)\ r = 8cm[/tex]

[tex](b\ Area = 200.96cm^2[/tex]

[tex](c)\ Volume = 2143.573cm^3[/tex]

Step-by-step explanation:

The largest cross-section of a sphere is the center.

So, we have:

[tex]A : C = 4 : 1[/tex]

Where

[tex]A = \pi r^2[/tex]

[tex]C =2\pi r[/tex]

Solving (a): The radius

[tex]A : C = 4 : 1[/tex] implies that

[tex]\pi r^2 : 2\pi r = 4 : 1[/tex]

Express as fraction

[tex]\frac{\pi r^2 }{ 2\pi r} = \frac{4 }{ 1}[/tex]

[tex]\frac{\pi r^2 }{ 2\pi r} = 4[/tex]

Divide by [tex]\pi r[/tex]

[tex]\frac{r}{ 2} = 4[/tex]

Make r the subject

[tex]r = 4 * 2[/tex]

[tex]r = 8cm[/tex]

Solving (b): Area of the largest cross-section.

[tex]Area = \pi r^2[/tex]

[tex]Area = 3.14 *8^2[/tex]

[tex]Area = 200.96cm^2[/tex]

Solving (b): Volume of the sphere

[tex]Volume =\frac{4}{3}\pi r^3[/tex]

[tex]Volume =\frac{4}{3} * 3.14 * 8^3[/tex]

[tex]Volume = 2143.573cm^3[/tex]

Collette wanted to know if there was a difference in favorite food types among students at her large high school. She took a random sample of students from her school and asked them to name their favorite food type. Of those surveyed, 29 preferred American, 16 preferred Chinese, 19 preferred Mexican, and 28 preferred Italian. Which of the following is the chi-square test statistic?
a. (29 - 23)2/23 + (16 - 23)2/23 + (19 - 23)2/23 + (28-23)2/23.
b. (29 - 23)2/23 - (16 - 23)2/23 - (19 - 23)2/23 - (28 - 23)2/23.
c. (29 + 23)2/23 + (16 + 23)2/23 + (19 + 23)2/23 + (28+23)2/23.
d. (29 - 23)2/92 + (16 - 23)2/92 + (19 - 23)2/92 (28-23)2/92.
e. (29 + 23)2/92 + (16 + 23)2/92 + (19 - 23)2/92 + (28-23)2/92.

Answers

Answer:

(29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23

Step-by-step explanation:

Given :

n(American) = 29

n(Chinese) = 16

n(Mexican) = 19

n(Italian) = 28

Expected value = (29 + 16 + 19 + 28) / 4

Where, 4 = sample size

Expected value, E = 23

χ² = (Observed value - Expected value)² / expected value

χ² = (29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23

Answer:

(29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23

Step-by-step explanation:

I would but you probobly want just the answer :/

Does anyone know how to do probability good?

Answers

Answer:

Yes, I can help you for free if you help me on some of my questions

Step-by-step explanation:

The mayor of a large city will run for governor if he believes that more than 30 percent of the voters in the state already support him. He will have a survey firm ask a random sample of n voters whether or not they support him. He will use a large sample test for proportions to test the null hypothesis that the proportion of all voters who support him is 30 percent or less against the alternative that the percentage is higher than 30 percent. Suppose that 35 percent of all voters in the state actually support him. In which of the following situations would the power for this test be highest?

a. The mayor uses a significance level of 0.01 and n = 250 voters.
b. The mayor uses a significance level of 0.01 and n = 500 voters.
c. The mayor uses a significance level of 0.01 and n = 1,000 voters.
d. The mayor uses a significance level of 0.05 and n = 500 voters.
e. The mayor uses a significance level of 0.05 and n = 1,000 voters.

Answers

Answer:

e. The mayor uses a significance level of 0.05 and n = 1,000 voters.

Step-by-step explanation:

Power of a test:

For a high power of a test, two conditions are needed:

Large significance level.

Large sample.

In this question:

A significance level of 0.05 will lead to a higher power than a significance level of 0.01, which means that the answer is between options d and e.

A test with a sample of 1000 has a higher power than a test with a sample of 500, and thus, the answer is given by option e.

I need help on 5-7. Its a little confusing for me

Answers

Answer:

5. x = 5, y = 3

6. x = 0, y = 4

7. x = -1, y = 1

Step-by-step explanation:

5. substitute 3(value of y) into the equation y = x - 2:

=> 3 = x - 2

=> x = 5

6. substitute 0(value of x) into the equation y = x + 4:

=> y = 0 + 4

=> y = 4

7. substitute 1(value of y) into the equation y = 2x + 3:

=> 1 = 2x + 3

=> 2x = -2

=> x = -1

who was the artist that cut off his ear?

Answers

Answer:

Vincent Van Gogh

Step-by-step explanation:

He was the artist who cut off his ear in 1888 in December I think...

I hope this helped :))

Abdullah is kicking a soccer ball into the air. The path of the soccer ball can be modeled by a quadratic equation where the point (6, 12) represents the vertex and the x-axis represents the ground. Which equation could represent the location of the soccer ball when it hits the ground? A 0=−(x−6)2+12 B 0=−(x+6)2−12 C 0=−(x−6)(x−12) D 0=−(x+6)(x+12)

Answers

9514 1404 393

Answer:

  A.  0 = −(x−6)^2+12

Step-by-step explanation:

The vertex form of a quadratic equation is ...

  y = a(x -h)² +k . . . . . . for vertex (h, k) and scale factor 'a'

When the given vertex (h, k) = (6, 12) is used, we find the form of the equation to be ...

  y = a(x -6)² +12

The ball will be on the ground when y = 0. Here, the vertical scale factor 'a' is -1, so the equation representing the ball being on the ground is ...

  0 = -(x -6)² +12 . . . . . . matches choice A

Please i need help ASAP please no links.
A chord is units from the center of a circle. The radius of the circle is units. What is the length of the​ chord?

Answers

Answer:PLZ MARK BRAINLIST

Draw a line from the center of the circle to the chord to form a right triangle.

The radius (20) forms the hypotenuse of the right triangle and distance from the center to the chord (16) forms a leg.

Use the Pythagorean Theorem to find the length of the other leg x (which would be 1/2 the length of the chord):

x^2 + 16^2 = 20^

x = 12

So the entire chord length = 12 * 2 = 24 units

What is the slope of the line?

Answers

The slope of the line can be defined as y = mx + b, where m is the slope
To find the slope, one will need to use the expression Δy/Δx (y final - y initial)/(x final - x initial)
For this problem, that equals 1/3

Now we will use the point slope form
(y - y initial) = m (x - x initial):

y + 1 = 1/3 (x - 2)

y = 1/3x - 5/3

What is the median of:

2, 8, 7, 8, 6, 15, 6, 8, 3

Answers

Answer:

7

Step-by-step explanation:

To find the median, put all numbers into ascending order and work into the middle by crossing off numbers at each end. If there are a lot of items of data, add 1 to the number of items of data and then divide by 2 to find which item of data will be the median.

Answer: 7

Step-by-step explanation:

1. put them in order from least to greatest = 2, 3, 6, 6, 7, 8, 8, 8, 15

2. find the number in the middle = 7

Hope I helped, have an amazing day!!

The team's win-loss ratio was 5 to 3. If the team played
120 games without a tie, how many games did the team win?

Answers

Answer:

75 games

Step-by-step explanation:

5 : 3 =8

8 = 120 games

1= 120÷8

=15

Games the team win:

= 5×15

= 75 games

If  team's win-loss ratio was 5 to 3. If the team played 120 games without a tie then 75 games are win by team.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

The team's win-loss ratio was 5 to 3.

The team played 120 games without a tie.

We need to find how many games did the team win

5x+3x =8x

8x = 120 games

Divide both sides by 8

x= 120/8

x=15

Games the team win:

= 5×15

= 75 games

Hence, 75 games did the team win.

To learn more on Ratios click:

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Solve the system by elimination.
-4x - 4y = 0
4x + 4y = 0

Answers

[tex]\begin{bmatrix}4x+4y=0\\ -4x-4y=0\end{bmatrix}[/tex]

Subtract 4y from both sides.

[tex]4x+4y-4y=0-4y[/tex]

Simplify

[tex]4x=-4y[/tex]

Divide each side by 4

[tex]\frac{4x}{4}=\frac{-4y}{4}[/tex]

Simplify

[tex]x= -y[/tex]

Substitute x as -y.

[tex]\begin{bmatrix}-4\left(-y\right)-4y=0\end{bmatrix}[/tex]

[tex]0=0[/tex]

The values of x and y are both zero.

Using the diagram below l, if angle P is 78 degrees and arc CB is 46, find arc AC

Answers

Answer:

arc AC = 202°

Step-by-step explanation:

Based on the tangent-angle secant rule, the angle formed outside a circle by a secant and a tangent is equal to one-half the difference between the far arc and the near arc.

Thus:

m<P = ½(arc AC - arc CB)

Substitute

78° = ½(arc AC - 46°)

Multiply both sides by 2

2*78 = arc AC - 46

156 = arc AC - 46

Add 46 to both sides

156 + 46 = arc AC

202° = arc AC

arc AC = 202°

plz i beg wont thy help me with three questions T^T

k12 7th math

plz answer them all i really need it cause i cant figure it out T^T

Answers

Answer:

For each table plug x in one at a time into the equation

If the outcome (y) is the same in the table that will be the correct answers

Step-by-step explanation:

For example -2 will be plugged in so y=5/4(-2)-3 which simplifies down to -0.5 looking back at the table we see the y value is 0.5 instead of -0.5 thus allowing us to eliminate that answer choice and repeat the process in the next table. Whichever one holds true and have the correct outcome will be the correct answer

Hope this helps

2 + 2 =

very easy beainliest :)

Answers

Answer:

4

Step-by-step explanation:

1+1+1+1=4

Answer:

wow, hardest question I've ever answered! It's either 4 or 22, I can't decide

Step-by-step explanation:

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