the sum of the square of two consecutive positive integers is 85. Write a quadratic equation​

Answers

Answer 1

Answer:

2x^2 + 2x - 83 = 0

Step-by-step explanation:

Consecutive integers differ by 1

Let the first number be x

The next will be (x+1)

The sum of the squares of these two numbers is 85

so we have;

x^2 + (x + 1)^2 =85

= x^2 + x^2 + 2x + 2 = 85

2x^2 + 2x + 2-85 = 0

2x^2 + 2x - 83 = 0


Related Questions

Help! If u get it i will mark brainliest!
Triangle QRS is a right triangle. mR = 34° What is mQ? A. 34°, B. 46°, C. 56° D. 66°

Answers

Answer:

c

Step-by-step explanation:

i just did it

In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.

Answers

28.1 feet

explaination

\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}

cosU=

hypotenuse

adjacent

=

x

9.6

\cos 70=\frac{9.6}{x}

cos70=

x

9.6

x\cos 70=9.6

xcos70=9.6

Cross multiply.

\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}

cos70

xcos70

=

cos70

9.6

Divide each side by cos 70.

x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}

x=

cos70

9.6

=28.0685≈28.1 feet

Type into calculator and roundto the nearest tenth of a foot.

(-2,19)(10,-11) find the slope

Answers

Answer:

-5/2

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]

         [tex]= \frac{-11-19}{10-[-2]}\\\\=\frac{-30}{10+2}\\\\=\frac{-30}{12}\\\\=\frac{-5}{2}[/tex]

HELP ME PLASE IM BEGGING YOU

Answers

Answer:

5x+4

Step-by-step explanation:

(7x+1)-(2x-3)

Remove parentheses

=7x+1-(2x-3)

=7x+1-2x+3

Simplify

7x+1-2x+3=5x+4

Help! Me with this question

Answers

The answer is B because
12^2+16^2=c^2
144+256=400
Square root of 400 is 20

stats. can someone help?

Answers

Answer:

you should try picto math it very helpful!

Step-by-step explanation:

the lengths of the sides of a triangle are 2n, n^2 and n+5 for what value of n do these lengths not make a triangle ?

Answers

The length , explain that againnnnnnn

Answer:

Step-by-step explanation:

Try n = 2

2n = 4

n^2 = 4

n+5 = 7   That works. It will make a triangle since the 2 smallest numbers are bigger than 7

Try n = 3

2n = 6

n^2 = 9

n + 5 = 8     That works. Same reason as above.

n = 4

2n = 8

n^2 = 16

n + 5 = 9    That works. Same reason.

n = 5

2n = 10

n^2 = 25

n+5 = 10   Aha! That doesn't work. the two smaller numbers only = 20.

There are likely many numbers that don't work. I'll try one more

n = 6

2n = 12

n + 5 = 11

n^2 = 36   This won't work either. Same reason as n = 5.

Annabelle has 56 1 cm³ what are the dimensions of the rectangle Langer prism Annabelle could build with all the cubes

Answers

Answer:

The six possible rectangular prisms Anabelle could build are;

W = 1,  B = 1,  L = 56

W = 1, B = 2,  L = 28

W = 1,  B = 4,  L = 14

W = 2,  B = 2,  L = 14

W  = 1,  B = 7,  L = 8

W = 2,  B = 4,  L = 7

Step-by-step explanation:

The number 1 cm³ Annabelle has = 56

The dimensions volume of the cubes Annabelle could build with the 1 cm³ = 56 cm³

The volume of rectangular prism, V = L × B × W

∴ For the rectangular prism, V = 56 cm³ = L × B × W

Therefore, the possible dimensions of the prism are three factors of 56, including;

1, 2, 4, 7, 8, 14, 28, 56

The combination of 3 factors of 56 that can be multiplied together to give 56 and therefore, the possible rectangular prisms includes;

  W × L × B = A

1) 1 × 1 × 56 = 56

2) 1 × 2 × 28 = 56

3) 1 × 4 × 14 = 56

4) 2 × 2 × 14 = 56

5) 1 × 7 × 8 = 56

6) 2 × 4 × 7 = 56

There are therefore 6 possible rectangular prisms Annabelle could build

If the sales price is $600 and the commision is $72 then what is the rate of the commission

Answers

Answer:

I am not a fan but I'm a very good i am a fan and the

Answer:

[tex] \frac{72}{600} \times 100 = 12\%[/tex]

so, the rate is 12% of the sales.

As a manager in a flooring store, you respond to a customer’s inquiry regarding available sizes of square tiles. The customer needs square tiles that measure 1.5 feet on each side. Your store sells square tiles with lengths measured in centimeters. What is the side length, in centimeters, of a square tile that measures 1.5 feet on each side, rounded to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

1.5ft(12in/ft)(2.54cm/in)=45.72cm

Rick owns a farm, which produces many different crops, including corn. The table shows the relationship between the number of acres, a, and the bushels of corn, c, the farm produces.
Which equation models the relationship between the independent and dependent variables?

A) a = 45c B) c = 45a C) a = 45 + c D) c = 45 + a

Answers

Answer:

c=45a

Step-by-step explanation:

for the first one it shows 45x1=45. second shows 45x2=90. thats the patter.

A store bought a glass measuring cup at a cost of $1.50 and marked it up 150%. Later on, the store marked it down 80%. What was the discount price?

Answers

Answer:

45 cents

Step-by-step explanation:

√43 is a number between
6 and 7
7 and 8
21 and 22
84 and 88

Answers

6 and 7

the square root of 43 is 6.557

What is the measure, in degrees, of angle x?
A
26.8

B
47.8

C
116.8

D
296.8

Answers

The answer is C

Step-by-step explanation:

180-63.2

The answer is C! Have a good day

Apply the Distributive Property to Simplify the Expression
3(36)

Answers

Answer:

108

Step-by-step explanation:

3(36)=3(30+6)=90+18=108

A book is 210 pages long; 140 of the pages have images on them. If Patrick opens the book to a random page, what is the probability that the page will have an image on it?

Answers

Answer: as a ratio it’s 140:210 and as a simplified fraction it’s 2/3. But not simplified it’s still 140/210

Step-by-step explanation:

-4(5k - 7) + 2k = -2(9k + 5)

Answers

1. -20k+28+2k=-18k-10
2. -18k+28=-18k-10
3. 28=-10
No solution
-20k+28+2k=-18k-10
-18k+28=-18k-10
28=-10
No solution

Rain is falling steadily at 5.2 millimeter per hour. How much rain fall in 90 minutes?

Answers

Answer:

7.8 ml

Step-by-step explanation:

1 hour = 5.2 ml of rain

90 mins = 1 hours and 30 mins

5.2 / 2 = 2.6

5.2 + 2.6 = 7.8

Skylar invested $3,100 in an account paying an interest rate of 3.3% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $4,720

Answers

Answer:

13

Step-by-step explanation:

​  

convert 5000 mm = ____ cm​

Answers

Answer:

it's 500 cm

HOPE THIS HELPS

Step-by-step explanation:

Answer:

500 cm

Step-by-step explanation:

i did the math

GEOMETRY. Need help i will give brainliest

Answers

Answer:

x = 10

Step-by-step explanation:

If two tangent segments are drawn to a circle from an external point, then those segments are congruent.

x+11 = 2x+ 1

x = 10

Answer:

x=10

Step-by-step explanation:

x+11=2x+1

x+10=2x

10=2x-x

x=10

Brillianst!!!!!

BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!

Answers

shouldn’t it be the figures are similar? theyre the same size, along with the same measure of angles.

Step-by-step explanation:

Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.

Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.this is became ABCD is reflected over the y-axis so it is simular too A'B'C'D.

A is incorrect because the size of the shape doesn't change when getting reflected.

B and D is incorrect because just by looking at the shape D is not equal to A' or B'

Hope this helps!!

One of my homework problems say: Solve the proportion. X/4=2/5. I am stuck on this one. It will be appreciated if you explain the steps to complete this problem. Thanks for your help!

Answers

Answer:

1.6

Step-by-step explanation:

Given :

X/4 = 2/5

To solve for X ;

We can use cross multiplication ; multiply opposite values :

X * 5 = 2 * 4

5X = 8

To isolate X ;

Divide both sides by 5

5X/5 = 8/5

X = 8/5

X = 1.6

how many pints are in a cup?

Answers

There are 2 cups in a pints

Answer:

0.4 Pints

Step-by-step explanation:

two complentary angles are drawn such that one angle is 10 more than seven times the other angle find the measure of each angle

Answers

Answer:

10° and 80°

Step-by-step explanation:

Complementary angles sum to 90°

let one angle be x then the other angle is 7x + 10 , so

x + 7x + 10 = 90

8x + 10 = 90 ( subtract 10 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

and 7x + 10 = 7(10) + 10 = 70 + 10 = 80

Thus the 2 angles are 10° and 80°

Can u pls help me with this question

Answers

Answer:

20.5 ounces

Step-by-step explanation:

11.5+2.25s=?

11.5+2.25(4)=

1. El perímetro de la figura que se muestra es:

a. 10x2+20y+8
b. 19x2+16y+16
c. 19x2+20y+16
d. 19x2+20y+8

Answers

Answer:

I think is C 19x2+20y+16

PLEASE HELPPP
Which is a set of collinear points?

Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K.
A. G, H, I
B. L, H, I
C. G, H, J
D. G, I, J

Answers

Answer:

A g, h, i

Step-by-step explanation

A set of collinear points all lie on the same line

Answer:

sf

Step-by-step explanation:

sf

Which expression is equivalento = 92 +12) +41 +62
- - -
BT2 = 10
13
32=5
131 - IS
ASAP

Answers

Answer:

i dont understand

Step-by-step explanation:

Marty and Adam want to share 8/10 feet of rope, equally. What amount of rope should each person get?

Answers

Answer: 2/5 feet

Step-by-step explanation:

From the question, we are informed that Marty and Adam want to share 8/10 feet of rope, equally.

The amount of rope that each person would get would be calculated by dividing 8/10 by 2. This will be:

= 8/10 ÷ 2

= 8/10 × 1/2

= 8/20

= 2/5

Therefore, each person gets 2/5 feet of rope.

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