The sum of the square of a positive number and the square of 2 more than the number is 20. What is the number?

Answers

Answer 1

Answer:

Let one number = x

Let the other number = x + 2

Use these variables to establish appropriate equations.

x2 + (x + 2)2 = 52

Solve for x from this equation. Expand any terms to get rid of parentheses.

x2 + x2 + 4x + 4 = 52

Combine any like terms.

2x2 + 4x - 48 = 0

WE now have a quadratic equation. Factor out a 2.

2(x2 + 2x - 24) = 0

Factor completely.

2(x + 6)(x - 4) = 0

Set the binomial factors equal to zero.

x + 6 = 0 and x - 4 = 0

Solve for x from these parts. Choose the positive x value.


Related Questions

17. Higher Order Thinking An electronics
store sold 4% of the computers that were
on sale. If only 12 computers were sold,
how many computers were not sold? Write
an equation to solve.

Answers

Step-by-step explanation:

so if I was to solve this the nearest answer I will get is 25 over 2 to the power of 3

Can you still use the triangle sum Theorem even if a triangle is not in 180 degrees?

Answers

Hi!

You cannot.

This is because ALL triangles MUST have 180 degrees, so if it doesn't it's not even a triangle. Therefore you cannot use it because, well, it's not a triangle.

Answer:

The sum of interior angles is 180 degrees (Triangle Angle Sum Theorem). All interior angles of a triangle are more than 0° but less than 180°.

Step-by-step explanation:

2 (x + 6) = 36 what’s is x

Answers

Answer:

12

Step-by-step explanation:

distribute the 2, turning the equation into 2x+12=36

subtract 12 from both sides, now resulting in 2x=24

then divide by 2

Step-by-step explanation:

2(x+6)=36

2x+12=36

collect like terms

2x=36-12

2x=24

divide both sides by 2

2x/2=24/2

x=12

pick all of the expressions that are equivalent to 3(m+2) +8.


a). 3m + 2 +8


b) 3m +6 + 8


c). 3m +14


d). 14 + 3m


e). 3+m+2+8

Answers

3(m+2) +8. 3m + 6 + 83m + 14

option C

hope it helps! ~♡

Make Z the subject x(y+z) + 5/a — 2=0​

Answers

Answer:

above is the solution to the question, ,pls that is a negative sign

determine the next three terms of 180,360,540,720​

Answers

Answer:

900, 1080, 1260

Step-by-step explanation:

Just used a pattern solving calculator

Please mark Brainlest

Which of the following expressions is equivalent to ( 5x + 2) (3x - 4)

Answers

[tex](5x+2)(3x-4) = 5x*3x +(-4)(5x)+2*(3x) +(2)(-4) = 15x^{2} -20x+6x-8\\=15x^{2} -14x-8[/tex]

Hope it helps!

2*2+3-5/9+100/2*89+40-30

Answers

4466.44444444

40198

/

9

4
4466 —
9

40198
Or ______
9

Below are the supply and demand equations for blenders in a certain market. In these equations, p represents price, D represents demand, and S represents supply. D = StartFraction negative 5 over 8 EndFraction p 35 S = StartFraction 6 over 5 EndFraction p minus 44 What is p at the point of equilibrium, to the nearest tenth? a. 56. 0 b. 43. 3 c. 37. 4 d. 36. 7.

Answers

The value of p at the point of equilibrium, where supply and demand are equal, is 43.3 (the nearest tenth).

What is equilibrium point of supply and demand?

The equilibrium point of supply and demand is the point where, the value of demand of a product is exactly equal to the value of supply of that product.

The supply and demand equations for blenders in a certain market is given as,

[tex]D=\dfrac{-5}{8}p+35[/tex]

[tex]S=\dfrac{6}{5}p-44[/tex]

Here, in these equations, p represents price, D represents demand, and S represents supply.

At the point of equilibrium, the supply and demand are equal. Therefore,

[tex]D=S\\\dfrac{-5}{8}p+35=\dfrac{6}{5}p-44[/tex]

Solve it further to get the value of p as,

[tex]\dfrac{6}{5}p-\dfrac{-5}{8}p=35+44\\\dfrac{6}{5}p-\dfrac{-5}{8}p=35+44\\p=\dfrac{3160}{73}\\p\approx43.3[/tex]

Hence, the value of p at the point of equilibrium, where supply and demand are equal is 43.3 (the nearest tenth).

Learn more about the equilibrium point of supply and demand here;

https://brainly.com/question/1915798

Answer:

✅ B. 43.3

Edgen

How does a methane digester work?

Answers

Answer:

A methane digester is more properly known as an anaerobic digester because it decomposes organic waste by limiting oxygen intake and produces methane gas as a by-product.

Step-by-step explanation:

i need an answer please :))))

Answers

Answer: 35

Step-by-step explanation:

If there is 50 pieces of fruit in total then . . . find out how much the percentages are ( remember to do that SEPARATELY )

What is 20% of 50 ? 10 pieces

Equation :  20 ( percentage ) times 50 ( whole )

What is 10% of 50 ? 5 pieces

Equation :  10 ( percentage ) times 50 ( whole )

total of apples and grapes in the fruit bowl :  15

Finally do . . . 50 - 15 = 35 pieces

Sam goes to an amusement park with $44 to spend. It costs $5 to enter the park, and then $3 per ride.

1. What question would accurately represent the situation?

2. How much money does Sam have left after 5 rides?

3. How many rides could Sam take before he runs out of money?


If anyone can help me with this that will be amazing. Thank you so much!

Answers

Answer:

Given and explained below.

Explanation:

Here y represents money left, x represents numbers of rides.

solve:

1.

y = 44 - 5 - 3x

y = 39 - 3x

2.

y = 39 - 3x

y = 39 - 3(5)

y = 39 - 15

y = 24

3.

y = 39 - 3x

0 = 39 - 3x

-39 = -3x

x = 13

He can total ride 13 rides before he runs out of money.

Which of the following capital letters show an example of perpendicular line segments? A)L B)N C)V D)Z

Answers

The capital letter that shows an example of perpendicular line segments is: A. L (see attachment).

What are Perpendicular Line Segments?

Perpendicular line segments are lines or rays that intersect at a point to form right angles (angle 90 degrees) at their point of intersection.

When two lines intersect, and at their point of intersection, the angle formed is a right angle, then both lines are perpendicular line segments just like the lines that forms letter L as shown in the diagram attached below.

Therefore, the capital letter that shows an example of perpendicular line segments is: A. L (see attachment).

Learn more about perpendicular line segments on:

https://brainly.com/question/7783266

$360 for 16 ft2
The unit rate is $
/ft2

Answers

Answer:

$360/16 ft2 = $22.50/1 ft2

Find the area of the last part. ?)
3
2
1/2
1/3
2/3
3/2

Answers

Question:

A rectangle measures 3 1/3 inches by 2 1/2 inches what is its area ? Find the area of the last part .

Solution:

we know that the area of a rectangle is the product of it's dimensions

so, the area of the given rectangle would be

so ,the measure of the last part would be

[tex]\frac{1}{3} \times \frac{1}{2} \\ = \frac{1}{6} [/tex]

Please Help

On Sadie’s test there are 5 true/false questions and 5 multiple choice questions each multiple choice question has 5 different answers. How many different ways could Sadie answer the 10 questions?

Answers

Answer:

6 ways

Step-by-step explanation:

1 way for true or false and 5 ways for multiple choice questions

The surface area of a triangular prism is 18.5 square inches. What is the surface area of a similar solid that has been enlarged by a scale factor of 2.5?

Answers

Answer:

115.625

Step-by-step explanation:

Since area is in ration squared like if a 2 by 2 square had it sides lenght times 2. it would be 4 by 4. But the area would change by 2^2 which is 4. In the same principle it would 18.5*2.5^2

What is the relationship between multiplication and division?

Answers

Answer:

What is the relationship of multiplication and division?

Multiplication and division are closely related, given that division is the inverse operation of multiplication. When we divide, we look to separate into equal groups, while multiplication involves joining equal groups

Step-by-step explanation:

scmack me wit dat wet brainliest

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE

Answers

Answer:

A, D, H, N

Step-by-step explanation:

A minor arc is always going clockwise and less than 180 degrees (straight line).

please help, due in 30 minutes

Answers

Answer:

D)

Step-by-step explanation:

I think it's been a while since I have done geometry. I hope its right and that this helps you.

Answer:

Answer is B

Step-by-step explanation:

The single line shows that that line on one triangle is congruent to the other single line on the other line of the triangle. (I know its very confusing!)

Let me know if this helped!

Solve for x
6x + 2 = 2x – 1
Give your answer as a fraction in its
simplest form

Answers

Answer:

6x+2=2x-1

6x-2x+2+1=0

4x+3=0

4x=3

4x/4=3/4

x=3/4

Questions
Which of the following are square roots of the number below? Check all that
apply.
25
O A. 251/2
O B. 16
C. -5
I D. 5
E. 20
OF 251/2
SUBMIT

Answers

Answer:  The answer is A, B, C, F

Step-by-step explanation: hope this helps

Which statement is true about the factorization of 30x2 40xy 51y2?.

Answers

Answer:

please need to see your statement

Rajani went to the store to buy some coffee. The price per pound of the coffee
is $5.50 per pound and she has a coupon for $2.75 off the final amount. With
the coupon, how much would Rajani have to pay to buy 2 pounds of coffee?
Also, write an expression for the cost to buy p pounds of coffee, assuming at
least one pound is purchased.

Answers

Answer:

$8.25         y(cost) = 5.50(x pounds coffee) - 2.75

Step-by-step explanation:

5.50 × 2

11 - 2.75

$8.25

y=5.50x-2.75

i dont know if what i wrote was right but someone help

Answers

Answer:

x = 12/7

Step-by-step explanation:

You put:                         What you should have had is:

13x - 3y = 12                   13x - 3y = 12

- x + 3y = 12                    + x + 3y = 12

Now that we have that, we can do

14x = 24

Than, divide 24 by 14

x = 24/14

which we can simplify by dividing both by 2

x = 12/7

We can't simplify it down anymore, so this is our answer.

Karen wants to buy 5 pounds of baby carrots. The packages of carrots each weigh14 ounces. How many will she need to buy to reach 5 pounds

Answers

Answer:

I think it's 70

Step-by-step explanation:

if this is multiplication I just did 14x5 if it's wrong or someone want to correct me pls do or pls tell me thank you have a great day!

Answer:

6 packages

Step-by-step explanation:

First, let's list an important conversion. 1 pound = 16 ounces.

For the sake of this explanation, and because I think this is mathematically easier to deal with, we are going to be dealing in ounces.

So, step one, convert 5 pounds to ounces. For this, we just multiply 5 by 16 to get 80.

Now, we know each package of carrots weighs 14 ounces each. Since we need to see how many times 14 goes into 80 (remember, 80 is the same as 5 pounds), we use division.

80/14 = 5

But, hey! You can/t buy 5/7ths of a package. So we need to buy an ENTIRE EXTRA PACKAGE just to make up for it.

So we round our number up to 6.

( i got this from another girl, hope this helps)!

-34+91=-3(4x+1)+6x helpppppppppppppp meeeeeeeeeeeeeeeeeeeeee plssssssssssssssssssssss when you answer look in commints

Answers

Answer:

x=-10 theeeeeeeeereeee

interior angles of quadrilaterals

the sum of the four angles of any quadrilateral is 360​

Answers

answers:
angle x= E. 118°
angle m= 131°

explanation:
the sum of the four angles of any quadrilateral
is 360

Two integers a and b have a product of 12 what is the least possible sum of a and b?​

Answers

Answer:

I think it is 7

Step-by-step explanation:

Because 3*4= 12 and 3+4=7 and those are the numbers that make the smallest sum that I can think of

Please Mark Brainlest

value of Pq- qp if p=3 and q = -1?. 1?:)​

Answers

Answer:

0 is the answer

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