The sum of the squares of two consecutive positive even numbers is 340. Find the numbers.

Answers

Answer 1

Answer: 12 and 14
12x12=144
14x14=196
196+144=340

Answer 2

Answer:

the answer is 12 and 14 100%

Related Questions

PLEASE HELP ASAP!!!!!!!
Eleni is n years old. In thirteen years she will be twenty four years old-
Divide £56 in a ratio of 5:3
Use the formula for computing future value using compound interest to determine the value of an account at the end of 6 years if a principal amount of $6,000 is deposited in an account at an annual interest rate of 6% and the interest is compounded quarterly.
How do you factor 8y^3+316

Write an algebraic rule to describe the translation C(5, –4) C’(–2, 1)

Answers

Answer:

The required algebraic rule of translation is $(x,y)\rightarrow (x-7,y+5)$ .

Step-by-step explanation:

The coordinates of a point are C(5, –4) and the coordinates of image are C’(–2, 1).

$C(5,-4)\rightarrow C'(-2,1)$ .... (1)

Let the algebraic rule of translation is

$(x,y)\rightarrow (x+a,y+b)$ .... (2)

From (1) and (2) we get

$x=5,y=-4$

$x+a=-2$

$5+a=-2$

$a=-2-5$

$a=-7$

The value of a is -7.

$y+b=1$

$-4+b=1$

$b=1+4$

$b=5$

The value of b is 5.

The algebraic rule of translation is

$(x,y)\rightarrow (x-7,y+5)$

Therefore the required algebraic rule of translation is $(x,y)\rightarrow (x-7,y+5)$ .

We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)

So, plugging in the values and solving for a and b,
5 + a = -2
a = -8

-4 + b = 1
b = 5

Therefore, the translation is
(x,y) (x - 8, y +5)

Which sequence is geometric and has 14 as its fifth term and 12 as the common ratio?

Answers

geometric sequence is
an=a1(r)^(n-1)
an=nth erm
a1=first term
r=common ratio

5th term=14
a5=a1(12)^(5-1)=15

a1(12)^4=15
a1(20736)=15
divide both sides by 20736
a1=15/20736=5/6912
geometric sequence is
an=(5/6912)(12)^(n-1)

Solve for x.

6x + 2 = 14

Answers

6x + 2 - 2 = 14 - 2
6x/6 = 12/6
x = 2

If 10 men can survive for 24 days on 15 cans of rations, how many cans will be needed for 8 men to survive for 36 days?

Answers

Answer:

18 cans

Step-by-step explanation:

Given : 10 men can survive 24 days on 15 cans

To find : how many cans for 8 men can survive for 36 days

Solution : 1 men can survive 1 day on= 15/ 10×24 = 15/240 cans

8 men can survive 1 day = 8×15/240= 1/2 cans

8 men can survive for 36 days = 36/2= 18 cans

therefore, 8 men can survive for 36 days = 36/2= 18 cans

10 men can survive for 24 days with 15 cans of ration
so , 1 man can survive for 1 day with 15/(10*24) cans of ration
so, 8 men can survive for 36 days with (15*8*36)/240 = 18 cans of raion

Please help me with this and explain how you got the answer. :)

Answers

Answer:

8 1/4

Step-by-step explanation:

6 3/5 ÷ 0.8

6 3/5 = 33/5

0.8 = 8/10

6 3/5 ÷ 0.8

= 33/5 ÷ 8/10

= 33/5 * 10/8 ( Because multiplication and division are inverse operations)

= 33/4

= 8 1/4

The domain of a function is given by {-4,2,8}. If the function is defined by y= x +1 /3 ,then which of the following values is a member of the range?

Answers

Answer:

{-1, 1, 3}

Step-by-step explanation:

Given the function

y = (x + 1)/3

The domain are the input value x while the range are the output values given the input value x;

Given the domain {-4, 2, 8}

when x = -4;

y = (-4+1)/3

y = -3/3

y = -1

when x = 2;

y = (2+1)/3

y = 3/3

y = 1

when x = 8;

y = (8+1)/3

y = 9/3

y = 3

Hence the member of the range are {-1, 1, 3}

Other Questions

A sample of 40 batteries is taken from a case of 400. Thirty-seven of the batteries in the sample are good, and three are defective. Let p= the probability that a battery case is still good. Which of the following is NOT a possible value for p?A. 0.5 B. 0.75 C. 0.9 D. 0.925 E. 1

Which of the following statements about a plane is not true?A plane can be thought of as flat. The surface of a plane is made up of points. A plane can be seen. A plane extends infinitely in all directions.

Consider the function f (x) = x³ – 7x² + 3x + 2. 1) Find the derivative, f ’(x). 2) Find the second derivative, f ’’(x). 3) Find the critical numbers of f (x) - just the x-values. 4) Use either the First Derivative Test or the Second Derivative Test to determine if these critical values are a relative maximum or relative minimum. 5) Compute the corresponding y-values and clearly label the relative maximum point and relative minimum point. 6) Find the absolute maximum point and absolute minimum point of f (x) on the interval [-2, 6]. 7) Find the inflection point of f (x).

Zhao Xue wants to buy milk and yogurt. She wants to buy a total of at least 6.5 gallons of dairy products (condition A), and she has a budget of $20 (condition B). The graph represents the constraints on the number of gallons of milk M and yogurt Y Zhao Xue buys. Zhao Xue buys 4 gallons of milk. how many gallons of yogurt can she buy to meet both her constraints? A.) Exactly 2.5 gallonsB.) At least 4 gallons and at most 6.5 gallons C.) At least 2.5 gallons and at most 4 gallonsD.) Zhao Xue doesn’t have enough money left to buy any yofurt