The difference of the squares of two positive consecutive even integers is 52. Find the integers. Use the fact that, if x represents an even integer, then x + 2 represents the next consecutive even integer

Answers

Answer 1

Answer:

12 and 14

Step-by-step explanation:

Let x represents an even integer. Another positive consecutive even integer will be (x+2).

According to question,

The difference of the squares of two positive consecutive even integers is 52 i.e.

[tex](x+2)^2-x^2=52\\\\x^2+4+4x-x^2=52\\\\4+4x=52\\\\4x=52-4\\\\4x=48\\\\x=12[/tex]

First integer = 12

Another integer = 12+2 = 14


Related Questions

Roshanna Lincoln's landscaping company ships its packages through Fleet Quick Delivery. Fleet charges ​$4 plus ​$0.60 per pound to ship each package. If the charge for shipping a package to Nevada was ​$​15.40, how much did the package​ weigh math

Answers

Answer:

The package weighs 21.6 pounds

Step-by-step explanation:

$4 dollars + T(0.60 tax per pound) divided by 15.40( the full cost of the shipment)

15.40 divided by 0.60 = 25.6

25.6 - 4 = 21.6

-------------------------------

Answer: 21.6 Pounds

-------------------------------

I hope I helped :)

Would appreciate Brainliest ;)

I need help on this for real

Answers

Answer:

x < 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Gang ima just take them points tbh

Step-by-step explanation:

What is the slope of a line that passes through (-4, 8) and (3, -6)?
a.1/2
b.-2
c.-1/2
d.2

Answers

[tex]m=\frac{8-(-6)}{-4-3}=\frac{14}{-7}=-2[/tex] so B.

Hope this helps.

Solve for x: -8 < x - 1 < 5

Answers

Answer: −7<x<6

Step-by-step explanation:

−8<x−1<5

−8+1<x−1+1<5+1(Add 1 to all parts)

−7<x<6

Find the total of a
$60 meal with 15%
tip and 8% tax.

Answers

Answer: $73.8 15% of 60 is 9 and 8% of 60 is4.8 then if you add them all together you get 73.8$

Step-by-step explanation:

Answer:

$73.8

Step-by-step explanation:

(15+8)= 23 -> .23 = .23 times 60 = $73.8

The ratio of pennies : nickels is proportional to the ratio of nickels : dimes,
and to the ratio of dimes : quarters. If you have one penny and two nickels,
how much money do you have?

Answers

Wee I don’t know I gun

Estimate the following product using a power of ten

Answers

Answer: 10^2
Step-by-step explanation:
43.27×9.1=
393.757
Estimate. 400
10×10=100×10=1000
This is wrong because the estimated number is oy 400.
So, 10×10=100
The answer is 10^2.

HELP PLS PLS PLSBPLSBPLS PLS

Answers

Answer:

a and c are correct

b and are wrong

bc length=ab length=4 squres

so triangle is isosceles.a is correct

abc angle is right angle.so c is correct

triangle has only one line of symmetry.that will be the line joining b and the mid point of ac

ac side is bigger than other two sides.so d is incorrect

a- False
b- i’m not sure sorry, i think false
c- True
d- True

What is the value of (x^3 − 7x^2 − 18x + 42) when x = 3?

Answers

Answer:

-150

Step-by-step explanation:

x^2 - 7x^2 - 18x +42

3^2 - 7(3)^2 - 18(3) + 42

9 - 63 - 54 + 42

-54 -54 + 42

-108 + 42

-150

Pls help, will give brainliest.

Answers

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form: (3,4)

Equation Form: x=3, y=4

Answer:

x = 3

y = 4

Step-by-step explanation:

You need to get ridof the 2y so add the equations together:

3x - 2y = 1

*add

2x + 2y = 14  

5x + 0 = 15

5x = 15

*divide by 5

x = 3

Now that we have x we can find y by substituting

2(3) + 2y = 14

6 + 2y = 14

* subtract 6

2y = 8

*divide by 2

y = 4

Hope this helps :)

What is the relationship between the 60 degree angle and angle y? (What
is the name of this pair of angles and what do we know about them?)

Answers

Answer:

angles opposite each other are the same

this is called corresponding angles

Step-by-step explanation:

I am not sure how to solve this could anyone help???

Answers

Answer:

about 137 degrees

Step-by-step explanation:

see attached picture

owrite down the name of each of these triangles

Answers

Answer:

sry I don't know.

if someone answer tell me the answer I also want to know : )

1 Which is the simplified form of the expression (1021495* (104)05) ?? 1 30 O O g30 012 060 O p12,60​

Answers

Answer:

7

Step-by-step explanation:

I need this please help me

Answers

The correct answer I believe is A

Nope this helps
Make sure to like!

(12.02 HC)

A line plot with the lengths of meteors is shown. Two more identical meteor measurements were added so that the total length of all meteors measured is 16 inches. What is the length of each new

meteor?

Length of Meteors

x x

X X X

Х

х

х

x x

Х

x x

Measurement in inches

O 1 inch

100

inches

o

CON

Inches

3 inches

Answers

Answer:

1 3/8 inches

Step-by-step explanation:

Total Length after adding 2 meteors of equal length = 16 inches

Let the length of the added meteor = x

To obtain the total length, we sum of each meteror multiplied by its frequency is obtained ;

(2/8)(1)+(3/8)(3)+(4/8)(2)+(6/8)(2)+(10/8)(1)+(11/8)(2)+(14/8)(2)+(15/8)(1) + 2x = 16

13.25 + 2x = 16

13.25 + 2x = 16

2x = 16 - 13.25

2x = 2.75

x = 1.375

1.375 = 1 3/8

A line includes the points (–8, –2) and (–4, –3). What is its equation in slope-intercept form?

Answers

Answer:

y=mx+b

Step-by-step explanation:

m=slope

b=y-intersept

I dont know how to do surface area

Answers

Answer: the equation for SU is 2(lb+bh+hl)

Step-by-step explanation: L stands for length B stands for base. H stand for height multiply that by 2

Carol decorated a cylinder by placing a 3 inch wide striped ribbon around its curved surface the cylinder has a radius of 3 in and a height of 3 in

Answers

Answer:

28.26

Step-by-step explanation:

radius-3

height-3

pi-3.14

Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1?

Answers

Answer:

When we dilate a figure with a scale factor between 0 and 1, the size of the figure shrinks but maintains the same orientation as the original figure. Therefore the correct option is B.

Hurry I’ll give 10pts

Answers

the answer to the question is a

Answer two questions about Systems A and B:System A x+3y=−9 2x+y=4 System B 3x+4y=−9 2x+y=4

Answers

Answer:

A=(21/5,-22/5) B=(5,-6)

Step-by-step explanation:

The bus driver has driven 49 miles this morning. His route is 123 miles. How much further must he drive to finish his route

Answers

Answer:

74 miles

Step-by-step explanation:

Answer:

74 miles

Step-by-step explanation:

123-49=74

Everyone thought that Martha Mathy was trying to start a new fashion trend when she started wearing socks that did not match. her "look" started to catch on, and pretty soon all the kids at her school were wearing mixed-up socks, too. Rita Writer, a reporter for the school paper, interviewed Martha about the new sock trend. " Wat gave you the idea to wear mismatched socks?" Rita Asked.

"Its simple mathematics," Martha replied. "you see, I have 18 socks at home but no two are the same. with just these 18 socks, I can create over 100 unique pairs of mismatched socks." Rita found this hard to believe, so she checked it out. Was Martha correct?

Answers

Answer:

There are 153 combinations

Combinations - any two from eighteen is given by the formula 18C2 or 18! / (2!*16!)

= 18 * 17 / 2 = 153

OK that is the maths - now the explanation

The first sock can be any of 18

The second sock can be any of 17 (one already been selected and they must be mismatched)

Therefore there are 18*17 = 306 permutations she could make

However the question asks for "combinations" not "permutations"

A green sock on the right foot and a yellow sock on the left foot is deemed to be a different "permutation" to a yellow sock on the right foot and a green sock on the left foot. HOWEVER, they are regarded as the same "combination" in both cases you have one green and one yellow sock.

Therefore for combinations we must divide the 306 permutations calculated above by 2 = 153

FYI Walton has incorrectly given you the value of 18!. That would only apply if Martha Mathy had 18 feet!

Find the interquartile range (IQR) of the data in the box plot below.
eggs
Number of eggs laid

Answers

Answer:

5

Step-by-step explanation:

The interquartile range is the 3rd quartile minus the 1st quartile. The 3rd quartile is 8 and the 1st quartile is 3.

8 - 3 = 5

The interquartile range (IQR) of the data is 5.

From the box plot we can write,

Minimum = 2

First Quartile, Q1 = 3

Median = 6

Third Quartile, Q3 = 8

Maximum = 10

So, Interquartile range (IQR)

= Q3 - Q1

= 8 - 3

= 5

Thus, the interquartile range (IQR) of the data is 5.

Learn more about Interquartile range (IQR) here:

https://brainly.com/question/31758606

#SPJ2

which is greater 1/4 or 0.75

Answers

Answer:

0.75 is greater

Step-by-step explanation:

1/4=0,25 and 0.75  is greater than 0,25

Agree with first answer.

1/4 = 0.25
3/4 = 0.75

0.75 is greater than 1/4

What is the answer for
(7-2)÷5

Answers

Answer:

1

Step-by-step explanation:

7-2=5 5/5=1

5.175 into a fraction

Answers

5.715/1 is the answer

Find the length of AC.

Answers

Answer:

D. 8 cm

Step-by-step explanation:

Reference angle = 60°

Opposite side = BC = 8√3

Adjacent side = AC = ?

Thus:

Tan (60) = opp/adj

Tan (60) = (8√3)/AC

AC*Tan(60) = 8√3

Divide both sides by tan (60)

AC = (8√3)/Tan(60)

AC = (8√3)/√3 (tan 60 = √3)

AC = 8 cm

Which set of angle measures could be measures of the interior angle of a triangle?

Answers

Answer:

b

Step-by-step explanation:

23-105-45

Answer:  60°, 60°, and 60° is the set of interior angles of triangle.

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