The difference between the squares of two numbers is 35. Twice the square of
the first number increased by the square of the second number is 73. Find the
numbers.

Answers

Answer 1

Answer:

Los números son

7 y 8

Explicación paso a paso:

Si el número menor es "x"  , el mayor es "x + 1"

entonces

( x + 1 )² - x² = 15

x² + 2x + 1 -x² = 15

2x + 1 = 15

2x = 15 - 1

2x = 14

x = 14/2

x = 7  (  número menor )

x + 1  = 7 + 1

x + 1 = 8 ( número mayor )


Related Questions


Please help please no links please please anything helps

Answers

Answer:

140

Step-by-step explanation:

Possibly i'm not that great at math but this might be the answer.

write the equation of the line that has the indicated slope and contains the indicated point. express the final equation in standard form. m= 1/2, (6,8)

Answers

Answer:

[tex]x - 2y = -10[/tex]  

Step-by-step explanation:

1) Use the point-slope formula [tex]y-y_1 = m(x-x_1)[/tex] to write the equation of the line in point-slope form with the given information. From there, we can convert it to standard form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex], or the slope, is equal to [tex]\frac{1}{2}[/tex], substitute [tex]\frac{1}{2}[/tex] for [tex]m[/tex] in the formula. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (6,8) into the formula as well. This gives the following equation:

[tex]y-8 = \frac{1}{2} (x-6)[/tex]

2) Now, convert the equation above into standard form, represented by the equation [tex]Ax + Bx = C[/tex]. Expand the right side, move the terms with the variables to the left side, then move the constants to the right side. Make sure that [tex]A[/tex] isn't negative and all the terms are integers and relatively prime.

[tex]y-8=\frac{1}{2}(x-6)\\y-8 = \frac{1}{2} x-3\\-\frac{1}{2} x+y -8=-3\\-\frac{1}{2} x+y=5\\x -2y = -10[/tex]

So, the answer is [tex]x - 2y = -10[/tex].


A university wants to investigate how much its students spend on textbooks each semester. Since all
students must purchase their materials through the campus bookstore, a random sample of 15 student
accounts is selected, and the averagą dollar amount spent on textbooks is calculated.
Which of these circumstances would make it inappropriate to use this sample to calculate a 95%
confidence interval for the mean amount spent on books by students at this university?
The standard deviation of the textbook costs is below $30.
The standard deviation of the textbook costs is larger than $100.
A stem-and-leaf plot of the textbook costs shows a roughly symmetric distribution
A histogram of the textbook costs is calculated and shows a slight skew to the right.
A boxplot of the textbook costs shows two students whose amounts would qualify as outliers,

Answers

Answer:

Step-by-step explanation:

Each base in this right prism-like figure is a quarter of a circle with a radius of 2 m.
10 m
2 m
2 m
What is the volume of the figure?
Give an exact answer in terms of pi.

Answers

Answer:

Volume of the figure = 10π cubic meters

Step-by-step explanation:

Volume of the right prism like figure = Area of the base × Height

Area of the base of the prism = [tex]\frac{1}{4}(\pi r^{2})[/tex]

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

                                                 = π m²

Height of the prism = 10 m

Volume of the prism given in picture = π × 10

                                                              = 10π cubic meters

Answer: 10π

Step-by-step explanation:

Tasha is mixing red and white paint to make pink paint. She uses 1/3 pint of red paint to make 1/2 pint of pink paint. How much red paint would she use to make 3 1/2 pints of pink paint?

Answers

Answer:

2 1/3

Step-by-step explanation:

What’s the answer and work to this? Someone please tell me

Answers

Answer:

14

Step-by-step explanation:

If you list all the values in increasing order, the median is the values in the middle if there is an odd number of values. If the number of values is even, then the median is the average of the two middle values.

The given values are:

19, -3, 7, 1, 8, 18, 42

Let's write all the values in increasing order.

-3, 1, 7, 8, 18, 19, 42

There are 7 values. The median now is 8, the value right in the middle. We need to add one value, so there will be 8 values in total. Since the number of values will be even, the median will be the average of the two middle values.

Since the median must be 11, the value we need to add is x which must be greater than 8.

-3, 1, 7, 8, x, 18, 19, 42

(8 + x)/2 = 11

8 + x = 22

x = 14

Answer: 14

solve for the missing side and round to the nearest tenths place

Answers

Answer:

A. 22.5

Step-by-step explanation:

Apply Trigonometric function.

Reference angle = 64°

Opposite side to 64° = x

Hypotenuse = 25

Apply SOH:

Sin 64 = Opp/Hyp

Sin 64 = x/25

25 × Sin 64 = x

22.4698512 = x

x = 22.5 (nearest tenth)

HURRY 50 POINTS Which of the points belong to the graph of the equation x–2y=4?
A (6,1)
B (-6,-5)
C (0,-2)
D (-1,3)
THESE ARE ALL YES/NO QUESTIONS AND PLEASE DONT GIVE ME A LINK TO THE ANSWER

Answers

Answer:

C (0,-2)

Step-by-step explanation:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps.

As you have two different variables (x and y) you aren't looking at a linear function but at a 3d function instead. Make sure you have the correct heading

Note that this equation is linear since all of the terms in  

x and y are of degree at most  1.

Saj wants to go to all 19 home games at a football club.
For each game, a ticket costs £28
A season ticket
costs £379
and
gives entry to all 19 home games.
In total, how much does Saj save by buying a season ticket?​

Answers

Answer:

£153

Step-by-step explanation:

If Saji bought a normal ticket for all 19 games, they would have to make 19 payments of £28. So, 28*19 would let us know that he would spend £532 in total. Then it's simply 532-379 to find the answer.

Solve the following percentage problem 85%of 40

Answers

Answer:34

85% of 40 = 34

Step-by-step explanation:85 percent of 40? = 34.

Answer:

34

Step-by-step explanation:

The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.​

Answers

Hello!

It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.

[tex]a^2+b^2=c^2[/tex]

We can set the length of a leg as an unknown variable [tex]x[/tex].

[tex]x^2+4^2=(3x)^2[/tex]

Remember that it is the whole [tex]3x[/tex] term being squared, meaning that it'll simplify to [tex]9x^2[/tex], not [tex]3x^2[/tex].

[tex]x^2+16=9x^2[/tex]

[tex]8x^2=16[/tex]

[tex]x^2=2[/tex]

[tex]x=\sqrt{2}[/tex]

This means we can plug back in to find the sides.

The hypotenuse would be [tex]3\sqrt{2}[/tex], or 4.2.

And the legs would be 1.4 and 4, respectively.

Hope this helps!

Add. Simplify the answer and write it as a mixed number.
1/4+4/5+9/10

Answers

Answer:

39/20 = 1.95

That's my simplified answer

39/20 = 1 19/20

Will this help?

Step-by-step explanation:

Answer:

[tex]1\frac{19}{20}[/tex]

Step-by-step explanation:

D is greater than E and less than C.
C and D are opposites.
At least one number is greater than A.

HELP

Answers

Answer:

?

Step-by-step explanation:

An eyewitness observes a hit-and-run accident in New York City, where 95% of the cabs are yellow and 5% are blue. A police expert believes the witness is 80% reliable. That is, the witness will correctly identify the color of a cab 80% of the time. If the cab is actually yellow, there is an 80% chance the witness will assert it is yellow, and if the cab is actually blue, there is an 80% chance the witness will assert it is blue. If a witness asserts the cab was blue, what is the probability that the cab actually was blue

Answers

Answer:

0.1739 = 17.39% probability that the cab actually was blue

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Witness asserts the cab is blue.

Event B: The cab is blue.

Probability of a witness assessing that a cab is blue.

20% of 95%(yellow cab, witness assesses it is blue).

80% of 5%(blue cab, witness assesses it is blue). So

[tex]P(A) = 0.2*0.95 + 0.8*0.05 = 0.23[/tex]

Probability of being blue and the witness assessing that it is blue.

80% of 5%. So

[tex]P(A \cap B) = 0.8*0.05 = 0.04[/tex]

What is the probability that the cab actually was blue?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.04}{0.23} = 0.1739[/tex]

0.1739 = 17.39% probability that the cab actually was blue

Which is larger 64 inches or 5 feet

Answers

Answer:

64 inches

Step-by-step explanation:

There are 12 inches in a foot

12 x 5 is 60

64 is greater then 60

A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.055t,
where
m(t)
is measured in grams. After how many days is there only 1 g remaining? (Round your answer to the nearest whole number.)

Answers

Answer:

Step-by-step explanation:

SHUIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIT

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Answer:

Long= [tex]2\sqrt{3}[/tex]

Step-by-step explanation:

This is a 30-60-90 right triangle, which has a special rule that would be very useful to memorize for the future. Take a look at the attached image.

From this, we can deduce that

hypotenuse=2*2=4, and

long= [tex]2\sqrt{3}[/tex]

What is the volume of the figure? ​

Answers

The volume of a figure is the number of cubes required to fill it completely, like blocks in a box. Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed

Choose the number equal to:

2/3÷(-3).

A) -2

B)-2/9

C)2/9

D)2


Answers

b. -2/9
flip the -3 and make it 1/3 and then multiply

Answer:

B) -2/9

Step-by-step explanation:

2/3 ÷ -3 = 2/3 * 1/-3

2*1 / -3*3

2/-9

-2/9

Lena spent $39 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit?

Answers

Answer:

The answer is 65%

Step-by-step explanation: Divide 60 by 39 and multiply by 100. So it will look like 39/60=0.65*100=65%. I hope this helps. :)

The table shows Kayden’s quiz scores for a semester. Consider this is the whole set of quizzes. Consider that Kayden took all the possible quizzes for the semester. What are the mean and the standard deviation, rounded to the nearest hundredth, for the quiz data?
Calculate the Margin of error, and give the 95% confidence range.
X

45

48

42

47

43

Mean=





Standard Deviation =

Answers

Answer:

huh what do you mean

Step-by-step explanation:

im really sorry

Question 9 of 10 What is one strategy that can help a person avoid spending too much money on interest when borrowing money? O A. Choosing a credit card with a low minimum monthly payment O B. Choosing a loan with a simple rather than compound interest rate O C. Choosing a credit card with a high minimum monthly payment O D. Choosing a loan with a compound rather than simple interest rate​

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is B. Choosing a loan with a simple rather than compound interest rate.

hope this helps,have a great day!!

~Pinky~

Convert .45 tons to kilograms to the nearest hundredth

Answers

Answer:

40,823.31 kilograms.

Step-by-step explanation:

For the polynomial below, 3 is a zero.
g(x)=x^3-7x^2+9x+9
Express g(x) as a product of linear factors

Answers

9514 1404 393

Answer:

  g(x) = (x -3)(x -2+√7)(x -2 -√7)

Step-by-step explanation:

Synthetic division can tell us the quadratic factor that remains when the factor (x-3) is divided out.

  g(x) = (x -3)(x^2 -4x -3)

The quadratic is not factorable over integers. Its vertex form is ...

  (x -2)^2 -7

so its roots are x = 2±√7.

That means the linear factorization of g(x) is ...

  g(x) = (x -3)(x -2-√7)(x -2+√7)

_____

I find it easy to learn the vertex form of the quadratic factor by using a graphing calculator to show the graph of the quadratic.

Someone please help! I dont understand

Answers

Answer:

i willl help on all three if u help on my chemistry problems

Hey can someone help me measure these angles

Answers

Answer:

A is acute and B is obtuse.

Step-by-step explanation:

This is because any angle less then 90 is acute and any angle over 90 degreee is obtuse.

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Given:

A figure of a triangle, AD = 6 and DB = 2.

To find:

The length of AC.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

In triangle ACD,

[tex]\cos A =\dfrac{AD}{AC}[/tex]

[tex]\cos 30^\circ =\dfrac{6}{AC}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{AC}[/tex]

[tex]\sqrt{3}\times AC=6\times 2[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12\sqrt{3}}{3}[/tex]

[tex]AC=4\sqrt{3}[/tex]

Therefore, the length of AC is [tex]4\sqrt{3}[/tex] units.

four tenths plus four ninths

Answers

Answer:

38/45

Step-by-step explanation:

4/10+4/9 Simplify.

2/5*4/9    Find a common denominator (45).

2/5*9/9=18/45

4/9*5/5=20/45

18/45+20/45=38/45

Hope this helps and have a great day C:

what is the total of 8 and 4 times y​

Answers

Answer:

12y?

Step-by-step explanation:

I’m assuming total meansd addition in this case and multiplying that by a variable or “y” would be 12y

i read the question wrong, nvm.

Helppppp!!!!!!!!! Plz

Answers

The answer is 22. You would subtract 3.5 from both sides, then x=22z
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