The sum of the squares of two consecutive even integers is 1684. What are the integers?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the 2 consecutive integers be x and x+1.

x²+(x+1)²=1684

x²+(x+1)(x+1)=1684

x²+x²+x+x+1=1684

2x²+2x-1683=0

Using quadratic formular


Related Questions

pls help asap!!!!!!!!!!!!!

Answers

Answer:

4.

A. (-4,4)

B. (0,0)

C. (-5,-2)

Step-by-step explanation:

The table below gives the dimensions of a bridge and a scale model of the bridge.
Find the scale factor of the model to the real bridge.
Write your answer as a fraction in simplest form.

Answers

Answer:

Scale factor = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Formula for the scale factor is,

Scale factor = [tex]\frac{\text{Dimension of the model}}{\text{Dimension of the original}}[/tex]

                    = [tex]\frac{\text{Dimension of the model}}{\text{Dimension of the bridge}}[/tex]

                    = [tex]\frac{\text{Width of the model}}{\text{Width of the bridge}}[/tex]

                    = [tex]\frac{7}{35}[/tex]

                    = [tex]\frac{1}{5}[/tex]

Therefore, scale factor of the model to the real bridge = [tex]\frac{1}{5}[/tex]

Two rectangles are similar. The first is 6 inches wide and 4 inches long. The
second is 9 inches wide. Find the length of the second rectangle.

Answers

Answer:

It is 6 inches long

Step-by-step explanation:

Since they are similar the ratio of width and length will be the same for both so the ratio for the first one is 2/3 so whats two thirds of 9? 6, and that's your answer. If you have any questions about this just leave a comment

Estimate and then solve 6,699 ÷ 72 = ___.

Answers

the answer is 93.041 when rounded it would be 93

Answer:

yeah its 93 after being rounded

Step-by-step explanation:

already did it and commented i was just wondering what else there was cause it seemed like there was more.

Two-fifths of one less than a number is less than three-fifths of one more than that number. What
solution set of this problem?
x <-5
x>- 5
x>-1
X<-1

Answers

Answer:

its going to be option D

Step-by-step explanation:

i promise im right

What can you conclude about the relationship between government and big business before the Progressive Era began?
The government imposed strict regulations on big business
The government let big business do almost anything they wanted
The government helped working people unionize, upsetting big business
The government regularly sued big business in court

Answers

Answer: it’s the second one

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!

Answers

Answer: 10.50

Step-by-step explanation:

The answer is 10.50 to your answer

PLEASE HELP HELP HURRY PLEASE !!!!!!!!

Answers

Answer:

what are we helping with?

Step-by-step explanation:

Find the value of x and check the solution.
5 + 4x = -11​

Answers

Answer:

x=-4

Step-by-step explanation:

5+4x=-11

4x=-11-5

4x=-16

x=-16/4

x=-4

5+4(-4)=-11

5-16=-11

-11=-11

Answer:

x = -4

Step-by-step explanation:

5 + 4x =  -11

4x = -11 - 5

4x = -16 (Divide 4 both sides)

x = -4

5 + 4x =  -11

5 + 4(-4) = -11

5 - 16 = -11

-11 = -11

The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?

Answers

Answer:

There are 48 boys in the choir

Step-by-step explanation:

What is the radius, in centimeter, of a circle that has a circumference of 16π centimeters? A. 8 B. 16 C.32 D.6432 D

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:you spel't it wrong so if im right then its b and c

8+8

16+16

32+32

64+64

Calculate the interest to be paid at the end of 3 years ,if Hari borrowed Rs 30000 at 3% interest per year

Answers

Answer:

2700

Step-by-step explanation:

Given data

Time= 3 years

Principal= 30000

Rate= 3%

The simple interest formula is given as

SI=PR/100

substitute

SI= 30000*3*3/100

SI= 270000/100

SI= 2700

Hence the Interest is 2700

Write an equation for a line with a slope of 5 and y-inter of -3

Answers

Answer:

y=5x-3

Step-by-step explanation:

y=mx+b where m=slope and b= y-intercept

-4(x-3)^2+7=43 please show how you got your answers step by step pleaseee

Answers

Answer:

(x - 3)² = -9

Solution:

Subtract seven from both sides. After you do that, simplify, then divide both sides by -4.

Also, quadractic bit of it is x = 3i + 3, x = -3i + 3.

Answer:

x=3+3i, 3-3i

Step-by-step explanation:

-4(x-3)²+7=43

(x-3)(x-3)= x²-6x+9

-4(x²-6x+9)+7=43

-4x²+24x-36+7=43

-4x²+24x-29=43

-4x²+24x-72=0

-x²+6x-18=0

Quadratic formula: -b+√(b²-4ac)  / 2a

-(-6)+√((-6)²-4(1)(18))   /  2(1)

6+√(36-72)   /2

6+√(-36)   / 2

x=6+6i   / 2

x=3+3i, 3-3i

A piece of ribbon is 24cm long.how many times can a piece of 0.8cm long be cut from it​

Answers

Answer:

30 pieces

Step-by-step explanation:

24/0.8 = 30

MARK ME BRAINLIEST! :D

HELP DUE AT MIDNIGHT TN

Answers

i’m pretty sure it is angle 8

Answer:

<8

Step-by-step explanation:

<1 and <8 are alt exterior angles

Write the value f (1) =1 in an order pair

Answers

Answer:

(1, 1)

Step-by-step explanation:

What is the solution to the inequality -6( p - 8) < -12?
please help!!

Answers

Answer:

-8 for me and thats pretty much it

Step-by-step explanation:

ok

What is the slope of the line between the point (4,2) and (3,0)

Answers

Answer:

Let's find the slope between your two points.

(4,2);(3,0)

Answer:

m=2

Convert Decimal to Percent
1.5

Answers

you move the decimal point two times to the right
1.5 is 150%

Answer:

150%

Step-by-step explanation:

please with 5 or 6 i don't get this at all

Answers

Answer :

5 )

1 - 119

2 - 61

3 - 61

4 - 119

5 - 119

6 - 61

7 - 61

6 )

3 - 102

4 - ??

5 - ??

6 - 133

7 - 47

8 - 47

9 - 133

Step-by-step explanation:

Mark me brainly

Plot 36 and 36 on the number line.
+
+
0
+
1
+
7
+
8
2
3
4
5
6
9
10

Answers

Answer:

Imagine skip counting by 9

<-------Negative side Positive Side------>

<-36 -27 -18 -9 -0- 9_18_27_36->

Numberline:

Help ASAP!
The stack consists of five rows of boxes that are all the same size.

Answers

Answer:

d)

Step-by-step explanation:

As it always n X n, from first row, there is 1 or 1 X 1, the second row is 4 which is 2 X 2, then keep going, so for nth row, there will be n X n cube.

If it is helpful, plz give me Brainliest.

The two arc lengths shown on the circles are equal, but the circles are different sizes. 2 circles. One circle has a radius of 8 inches and a shaded sector with an angle measure of 90 degrees. The second circle has a shaded sector with an angle measure of 120 degrees. One circle has a radius of 8 in. What is the radius of the other circle? Arc length circle 1 = Arc length circle 2 StartFraction 90 degrees over 360 degrees EndFraction (2 pi (8)) = StartFraction 120 degrees over 360 degrees EndFraction (2 pi (4)) One-fourth (16 pi) = one-third (2 pi r) 4 = two-thirds r r =

Answers

Answer:

6

Step-by-step explanation:

I just did the question

find ST, find UV, Find the perimeter of triangle RST, find SU​

Answers

Answer:

(a). ST = 15 units; (b). UV = 3 units; (c). [tex]P_{RST}[/tex] = 54 units; (d). SU = 9 units

Step-by-step explanation:

The centroid of a triangle is the intersection of the three median of the triangle.

If a median of a triangle is a perpendicular, then a triangle is an isosceles triangle.

Please answer fast, I’ll give brainliest.

Answers

Answer:

61

Step-by-step explanation:

The Titanic could stay afloat with four of its 16 watertight compartments flooded, more than anyone could imagine on a ship of its size. ... As the ice bumped along its starboard side, it punched holes in the ship's steel plates, flooding six compartments. In a little over two hours, the Titanic filled with water and sank.

Find the interior angle sum of this polygon.

Can someone help????

Answers

Answer:  1440 degrees

===================================================

Explanation:

See the diagram below. It shows there are 10 sides, so n = 10.

We'll plug this value of n into the formula below to find the sum of all ten interior angles

S = sum of interior angles

S = 180(n-2)

S = 180(10-2)

S = 180(8)

S = 1440 degrees

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

A different approach:

Let's assume this polygon is a regular polygon. This means each angle is congruent to one another.

We have n = 10 sides, so each exterior angle is E = 360/n = 360/10 = 36 degrees.

Each interior angle adjacent to this 36 degree exterior angle is

180-E = 180-36 = 144 degrees

Since we have 10 equal angles of 144 degrees each, so overall the interior angles add to 10*144 = 1440 degrees

Side note: if this polygon is not a regular polygon, then this section does not apply. You would use the first method instead.

4. A stamp collection contains 32 Canadian stamps, 20 United Kingdom stamps, and 12 Asian stamps.
Write a ratio, in simplest form, to compare all the stamps.
What 32:30:12 in sim plaits form

Answers

Answer:

it'll be 64:5

Hope this helps

Hope this helps ALL THE BEST!!

Please help me with this/ will give brainlist

Answers

Answer:

102 degrees bc it is vertical angle means there's same degree

Answer:

78 degrees

Step-by-step explanation:

because the two lines are parallel and both equal to 180, simply subtract 180 by 102 and you will get your answer :D (edit: I apologize, I didn't read the problem thoroughly. The answer would actually be 102)

A = 2^3 x 3 x 5
B = 22 x 3 x 52
(b) Write down the highest common factor (HCF) of A and B.​

Answers

Answer:

Step-by-step explanation:

B = 22 × 3 × 52?—or is it supposed to be

B = 2² × 3 × 5² ?

A = 2² × 3 × 5

B = 2² × 3 × 5²

GCF = 2² × 3 × 5 = 60

A = 2² × 3 × 5

B = 22 × 3 × 52 = 2³ × 3 × 5 × 11 × 13

GCF = 2² × 3 × 5 = 60

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