Name five whole numbers that can be expressed as the difference of two perfect squares. Show the math!

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

of means multiply

18% * 50

Change to decimal form

.18 * 50

9

Answer:

20 feet

Step-by-step explanation:

The distance between base of the ladder from the base of the building is given by option B) 20 feet.

Use the Pythagorean theorem to solve this problem.

The Pythagorean theorem states that in a right-angled triangle,

The square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Length of the ladder = 28 foot

Here, the ladder forms the hypotenuse, and the height of the window (20 feet)

And the distance from the base of the ladder to the base of the building (let's call it x feet) are the other two sides.

So, we have:

Ladder² = Height² + Distance²

28² = 20² + x²

Now, let's solve for x:

x² = 28²- 20²

x² = 784 - 400

x² = 384

Now, take the square root of both sides to find x:

x = √384

x ≈ 19.6 feet

Rounding to the nearest whole foot, the distance from the base of the ladder to the base of the building is 20 feet.

Therefore, the distance between base of the ladder and building is equal to option B) 20 feet.

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Answer:

42

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

x = 6

7x

Step 2: Evaluate

Answer:

D.44

Step-by-step explanation:

i hope its help for you po

9514 1404 393

Answer:

  9

Step-by-step explanation:

The triangles are similar, so corresponding sides are proportional.

  AE/AD = EC/DB

  (x+3)/(x -1) = x/(x -3)

  x^2 -9 = x^2 -x . . . . . . . cross multiply

  x = 9 . . . . . . . . . . . add x+9-x^2 to both sides

Subtract the dessert from the total:

52.95 - 2.50 = 50.45

Now divide that by the number of people:

50.45/5 = 10.09

Each person would pay $10.09

She would pay 10.09 + 2.50 = 12.59

Answer:

since they are parallel lines therefore the angles hence formed will also be equal

x+5=2x-7

5+7=2x-x

12=x

hence the ans is 12

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Answer:

Teens who use online shopping sometimes = 6

total number of people who use online shopping sometimes = 20

total percentage of teens using online shopping sometimes = 6/20*100 => 30%

hope it helps

have a nice day

Answer:

8 ≤t≤16

We know the low temperature was 8

8≤ t

And the high was 16

8 ≤t≤16

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

2+a

2 + (22)

= 24

Answer:

unfortunately I do not have the answer, but this is like the only way to tell you something

The 3 real roots of the given equation.

To find the real roots.

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.

Given that:

The equation are

[tex]\sqrt{2x+4}=\frac{1}{2x} +1\\[/tex]

By squaring both sides

[tex]2x+4=\frac{1}{4x^{2} }+1+\frac{1}{x} \\\\2x-\frac{1}{x}+3=\frac{1}{4x^{2} }\\\\8x^{3}-4x+12x^{2} -1=0\\ \\8x^{3}+12x^{2}-4x -1=0[/tex]

Solutions for x

x1 = -1.74543

x2 = -0.17169

x3 = 0.41712

So, the 3 real roots of the given equation.

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Answer:

j4k4

Step-by-step explanation:

k4k4j4h g o4utf75d4s6e Ok xkyai5eziKyeakyz6ozo6syzyl6

Answer:

x = 30

Step-by-step explanation:

The 2 angles lie on a straight line and sum to 180° , then

x - 3 + 153 = 180

x + 150 = 180 ( subtract 150 from both sides )

x = 30

Answer:

x = 30

Step-by-step explanation:

180° = total

153° = part

180° - 153° = 27°

Then use the equation to find the value of x

(x - 3) = 27

(x + 3) = +3       Add 3 to both sides!

x = 30

Answer:

x = 20

Step-by-step explanation:

The 3 arcs UV, VW, WX form a semicircle, so sum to 180° , that is

4x + 2 + x + 78 = 180

5x + 80 = 180 ( subtract 80 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

Answer:

There are 5 sides in the polygon.

Total perimeter of the polygon is 12.5 cm and it is a regular polygon.

Each side of the polygon is 2.5 cm.

So total number of sides is: Total perimeter of the polygon / Length of each side = 12.5 cm/ 2.5 cm = 5

Hence, the polygon has 5 sides and it is a regular pentagon.

Step-by-step explanation:

I hope this is correct, if it isn't please feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

-3

Step-by-step explanation:

f(x)=x2-5  f(1)

f(1)= (1)2 -5

2-5

-3

Answer:

375

Step-by-step explanation:

let the ratio constant be 'x'

=>Profit ratio for A=7x

=>Profit ratio for B=5x

Profit=900 (Given)

Sum of the ratios=7x+5x=12x

Therefore,

Profit ratio for A=(7/12)x900=7x75=525

Profit ratio for B=(5/12)x900=7x75=375

Answer:

option alphabet c is the answer

Answer:

70°

Step-by-step explanation:

m ∠L = 180-(55+55)

= 180-110

=70°

Answer:

y = 1/4(x + 5)^2

Step-by-step explanation:

Using the given equation form;

(h,k) represents the vertex of the parablola

To get the value of a, we use the given point

So we have;

1 = a(-3 + 5)^2 + 0

1 = a(2)^2

4a = 1

a = 1/4

so we have the equation as;

y = 1/4(x+5)^2 + 0

y = 1/4(x + 5)^2

Answer:

a2 +b2=c2

Step-by-step explanation:

......

hope it helps

Answer: its a^2+b^2=c^2

Step-by-step explanation:

Answer:

6 students

Step-by-step explanation:

3/4 = chocolate

1/10 = vanilla

3/4 = 30/40

1/10 = 4/10

30+4=34

40-34 = 6

6 = the number of students that voted for strawberry

Multiply the top equation and the bottom by 7.

Answer:

The answer is D: Multiply the top equation by 3 and the bottom equation by 4

Step-by-step explanation:

when you do that, the coefficients for the x on the top and bottom equations both become 12, so you would have to subtract the 2 equations to get rid of x.

Answer:

A) To plot equations in point-slope form, pick one and let x = 0, then solve for y (or -4). That gives you point 1 (0,-4). Then let y = 0 and solve for x (or 2/3). That gives you a second point (2/3,0). Plot the two points and draw the line. Repeat for the second equation (points are (0,-3) and (3/5,0)). Where the lines cross is the solution for both equations.

B) point (1,2) fits both equations.

Step-by-step explanation:

Or solve by brute force...

The solution is where the same X,Y point fits both equations, or Y1 = Y2 and X1 = X2. So the equations in point-slope form (already in point-slope form) equal to each other, solve for X and plug that back into either of the equations to find Y.

6X - 4 = 5X -3

X = 1  so

y = 6X - 4

Y = 6 - 4

Y = 2

Answer:

Step-by-step explanation:

(179 * 40) + (179 * 4) = 179 *(40 + 4) = 179 * 44

YES

(100 * 4) + 70*4 + 9*4 =  4 * ( 100 +70 + 9) = 4 * 179

No

4000 + 2800 + 360 + 280 +36 = 7876 = 179 *44

YES

(100 *44) + (70*44) + (9*44) = 44 * (100 + 70 +9) = 44 * 179

YES

179 *(4 +4) = 179 * 8

NO

Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.

Step-by-step explanation:

The given equation is:

12x + 15y = 4140             .....(1)

Where,

x stands for $12 tickets and y stands for $15 tickets

According to the question:

x + y = 300           ....(2)

Now solving equation 1 and 2.

From equation 2:

x = 300 - y

Now putting this expression in equation 1.

12x + 15y = 4140

12(300 - y) + 15y = 4140

3600 - 12y + 15y = 4140

3600 + 3y = 4140

3y = 4140 - 3600

3y = 540

y = 180

And,

x = 300 - y = 300 - 180 = 120

The number of $12 tickets sold = x = 120

The number of $15 tickets sold = y = 180

Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.

Answer:

15 Years or 14.5 Years

Step-by-step explanation:

According to the Question,

Put the Given value in Formula, We get

2000 = 1000 (1 + 0.05/2) ^ 2t

2 = (1+0.025)^2t

2 = (1.025)^2t   ⇔ 1.025^30 = 2.0975 ≈ 2

Thus, 2t = 30 ⇒ t = 15 Years

OR

2 = (1.025)^2t   ⇔ 1.025^29 = 2.0464 ≈ 2

Thus, 2t = 29 ⇒ t = 14.5 Years

Cramer's rule is an explicit formula for the solution of a system of linear equations. That has many equations as unknowns and valid whenever the system has a unique solution. 

Answer:

Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.

Answer:

3/2

Step-by-step explanation:

2y+3x=3

This represents a linear equation and the format for a linear equation is

y = mx+b

m = slope

b= y-intercept

we have to subtract 3x from both sides to make this the y=mx+b form

2y=-3x+3

and divide both sides by 2

y = (-3x+3)/2

3/2 or 1.5 is the y-intercept

the constant of a linear equation (or 3) is the y-intercept, if there is no constant then the y-intercept is 0

Answer:

1.5

Step-by-step explanation:

2y+3x=3

Convert to y=mx+b form...

y=mx+b

y(output)

x(input)

x(slope/growth)

b(y int/starting point)

Steps for converting to y=mx+b form:

-subtract 3x from both sides of equal sign

-divide by 2 on both sides

y = -1.5+1.5

so 1.5 is y int.

:)ur welcome

Answer:

Hope this helps!

Step-by-step explanation: