Solve. X* - 14x2 + 49 =0

The length of the sides are solved to be

Given data

perimeter of a right angled triangular park is 120m

area is 600m^2

Perimeter of triangle = b + h + √(b^2 + h^2)

Area of triangle = 0.5 * b * h = 0.5bh

120 = b + h + √(b^2 + h^2)   equation 1

600 = 0.5bh                          equation 2

form equation 2

bh = 1200

from  equation 1

120 - b - h = √(b^2 + h^2)  

( 120 - b - h )^2 = (b^2 + h^2)

( 120 - b - h ) * ( 120 - b - h ) = (b^2 + h^2)

14400 - 120b - 120h - 120b + b^2 + bh - 120h + bh + h^2 = (b^2 + h^2)

14400 - 240b - 240h  + b^2 + 2bh + h^2 = b^2 + h^2

14400 - 240b - 240h  + 2bh = 0

and bh = 1200

14400 - 240b - 240h  + 2 * 1200 = 0

14400 - 240b - 240h  + 2400 = 0

16800 - 240( b + h ) = 0

16800 = 240( b + h )

b + h = 70

b = 70 - h

and bh = 1200

h ( 70 - h ) = 1200

70h - h^2 = 1200

h^2 - 70h + 1200 = 0

h = 40 or 30

if h = 30

and bh = 1200

b = 1200/30

b = 40

the hypotenuse is solved from Pythagoras

hypotenuse =  √(b^2 + h^2)

hypotenuse =  √(40^2 + 30^2)

hypotenuse = 50

Read more on right angle triangle here: https://brainly.com/question/64787

#SPJ1

Answer:

[tex]\geq 18[/tex]

Step-by-step explanation:

Since this is in the math category I am assuming you needed a math answer.  The "greater than or equal to" symbol is the mathematical equivalent of "at least" some amount or number.

Answer:

x ≥ 18

Step-by-step explanation:

x ≥ 18 (I don't know if you've gotten to greater than or equal to, but keep in mind the answer might be ">" instead of "≥" if its the only option in multiple choice)

x is the age you have to be to vote, the greater than or equal to sign it to say that you have to be older than or equal to 18, and the 18 is the number/age you at least have to be!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

The domain of the given function f(x)= 1/2x-1  is ( -∞ , 1/2) ∪ (1 /2 , ∞) .

We have given an function f(x)= 1/2x-1 .

To find the domain, we'd like to appear at the values of the freelance variables that area unit allowed to use as explained on top of, i.e. no zero at all-time low of the fraction and no negative sign within the root.

    2x - 1 ≠ 0

      2x ≠ 1

       x ≠ 1/2

Domain is given by ( -∞ , 1/2) ∪ (1 /2 , ∞) .

Learn more about domain function here :

https://brainly.com/question/2264373

#SPJ9

The complete question is given below :

Find domain of the function f(x)= 1/2x-1

The formula for the quadratic equation is x² + x ( r1 + r2) + (r1 * r2) = 0 and

ax² + bx + c = 0

A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .

Given:

Three inputs (a, b, and c), calculate the roots (r1 and r2) of the quadratic formula.

we know, the roots are sum of the roots and product of roots

also,

x² + x ( Sum of zeroes) + (product of zeroes) = 0

Now,

x² + x ( r1 + r2) + (r1 * r2) = 0

Also, if we have three inputs named as a, b and c then

ax² + bx + c = 0

Learn more about quadratic equation here:

https://brainly.com/question/6168075

#SPJ1

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-9)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{1}}} \implies \cfrac{3 +9}{-4}\implies \cfrac{12}{-4}\implies -3[/tex]

Answer:

-3

Step-by-step explanation:

ya

Answer:

Step-by-step explanation:

The domain is the set of x values and the range is the set of y values.

Answer: 12

add 12 to the left side to cancel out the -12 then add 12 to 24 to get 36, then divide 3x from 36 to get 12 (x=12)

For waste of more than 1.875 tons mega Dumpster be less expensive than Discount Dumpster.

Given that,
Discount Dumpster rents a dumpster of that size for $225 plus a charge of $ 130 per ton of waste.
Mega Dumpster rents the same size dumpster for $300, but only charges $90 per ton of waste.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
accoding to the question,
225 + 130w > 300 + w90
130w - 90w > 300 - 225
40w > 75
w > 15 / 8
W > 1.875

Thus, for waste of more than 1.875 tons mega Dumpster be less expensive than Discount Dumpster.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ1

Answer:

There is no “formula” and the sooner you stop believing that math is a collection of formulas the sooner you can start learning it.

“Y sinx”, as written, is meaningless. You probably meant y = sin(x). Learning the proper grammar and syntax for writing mathematical expressions is necessary to make any progress in the subject.

Finally, the value of y = sin(x) is the y-coordinate of a point on the unit circle at position angle x. the zeros of y = sin(x) are x = k*pi, where k is any integer, because at any of those position angles the y-coordinate will be 0. This is not a “formula”, just a compact way to indicate an infinite number of zeros. The note that k is any integer is generally assumed, but to be clear and precise it should be included as part of the answer.

Solutions to trig equations are often restricted to the domain [0, 2pi), which is once around the unit circle without repetition of any point. On this domain, the zeros are 0 and p

The statement postulate that can be used to determine BC is AC = AB + BC and the value of BC is 3 units

From the question, we understand that:

The point B is between the points A and C

Such that

AC = 10

AB = 7

By the straight lie postulate, we have

AC = AB + BC

Hence, the statement postulate that can be used to determine BC is AC = AB + BC

Recall that

AC = AB + BC

So, we have

10 = 7 + BC

Subtract 7 from both sides

BC = 3

Hence, the value of BC is 3 units

Read more about line segments at

https://brainly.com/question/14366932

#SPJ1

See attachment for the graph of  4 > |x + 1| + 2

The absolute value inequality is given as:

4 > |x + 1| + 2

Subtract 2 from both sides of the absolute value inequality.

So, we have

2 > |x + 1|

Rewrite as

|x + 1| < 2

So, we plot the graph of  |x + 1| < 2 to represent 4 > |x + 1| + 2

See attachment for the graph

Read more about absolute value inequality at

https://brainly.com/question/13344207

#SPJ1

Answer:

d 42.73

Step-by-step explanation:

if you were to round off the first 3 you wouldn't get 42.7 due to them not being above 5, but, if you were to round off 42.73 you would get 42.7 due to 3 being lower than 5 and it changing into 0

Answer:

There are 6 possible outcomes per roll and three 3 rolls = 6 x 6 x 6 = 216 possible outcomes, assume by outcome one counts each possible sequence separately. If you only count the sum of three rolls, then the possible outcomes are the integers from 3 to 18 inclusive, or 16 possible outcomes. Obviously you mean the former.

Answer:

216 outcomes.

Step-by-step explanation:

When you roll one 6 sided die you have a 1/6 chance,

when you roll two 6 sided dies you have a 1/36 chance,

when you roll three 6 sided dies you have 1/216 chance,

6x6x6

1       1        1

_      _       _

6     36    216

Answer: 81 ==> correct answer

Step-by-step explanation:

n=number

n^2+n*2=n*11 ==> the sum of a 2 digit number and the reverse of the two digit number is a multiple of 11. For example, 21+12=33. 33/11=3, so 33 is a multiple of 11.

n*n+2n=11n

n(n+2)=11n

n+2=11

n=9

n^2=

9^2=81 ==> correct answer

Answer:

a. b is the width of the largest square if you look the sides match.

b. The area is b² because b*b is b²

c. a²+2ab+b² is the entire area.

d. above the actual c is the top right is a² the top right and bottom left is ab and the largest is b²

e. they must have the same equations.

Step-by-step explanation:

The area of rectangle  is 1.42×2=2.84

Given,

The area of rectangle is 1.42×2=2.84

The length of rectangle is 1.38×.98=1.3524

A rectangle is a quadrilateral with equal angles and opposing sides that are equal and parallel. There are several rectangle items all around us. Each rectangle form is distinguished by two dimensions: length and breadth. The length of the rectangle is the longer side, while the width is the shorter side. We will study about the rectangle form and its features in this chapter.

The rectangle is a four-sided closed two-dimensional shape. A rectangle's opposite sides are equal and parallel to one other, and all of its angles are equal to 90°.

To  learn more about Rectangle  from the given link:

https://brainly.com/question/15019502

#SPJ9

Answer:

4.5 miles

Step-by-step explanation:

We don't really need an equation for this, as we know what one half of three is - it is 1.5.  So we just add 3 and 1.5 to get the sum.

Answer:

y= -6/7x+8

Step-by-step explanation:

7x-6y=13

6y=7x-13

y=7/6x-13/6

a perpendicular line has the x-axis as the reciprocal and the opposite

so

y= -6/7x+b

and to find b you take the x-axis, in this case, it is 14, multiply 14 by the slope which is -6/7. 14x-6/7= -12

-12 plus what number is -4? it's 8! -12+8=-4 b=8

so you get y=-6/7x+8

hopefully this helped :)

Answer:

[tex] {2 }^{2} \times 3 {}^{1} \times 5[/tex]

Answer :Its 0

Step-by-step explanation:

An equation showing the number of pencils that are in the box before he starts drawing is p - 53 = 118.

We are given that:

Dontavious has a box of colored pencils.

Dontavious uses 53 pencils.

Pencils still left in the box = 118.

Let the total number of pencils in the box be p.

So, the equation representing the situation given will be:

p - 53 = 118

As from p pencils, 53 pencils have been used and 118 pencils still remain at the end.

Therefore, we get that, an equation showing the number of pencils that are in the box before he starts drawing is p - 53 = 118.

Learn more about equation here:

https://brainly.com/question/1214333

#SPJ1

(y = 2.05x) is the equation that relates the change in price per sticker purchased.

The equation of exchange is an economic identity that shows the relationship between money supply, the velocity of money, the price level, and an index of expenditures. English classical economist John Stuart Mill derived the equation of exchange, based on earlier ideas of David Hume. It says that the total amount of money that changes hands in the economy will always equal the total money value of the goods and services that change hands in the economy.

Given that: For every ten sheets you buy the total cost increases $20.50.

• The number of stickers purchased = 10

• Price change = $20.50

The change in price per sticker purchased can be expressed as:

• Price change / number of stickers

• Change in price per sticker = $20.50 / 10

• Change in price per sticker purchased = 2.05

Therefore, the required equation which related y and x is: y = 2.05x

To learn more about the equation which relates the change in price visits:

brainly.com/question/22717423

#SPJ9

:

Answer:

Step-by-step explanation:

THis is a long anwser

1. 2/100

2.9/100

3.23/100

4.58/100

5.25/100

6..36/100

7.12/100

8.33/100

9.1/10

10.3/10

11.21/100

12..15/100

Answer:

16

Step-by-step explanation:

The direct and indirect material costs and the ending balance will be $60,000, $30,000, and $20,000, respectively.

The most recent month's raw resources supply operations for Fairfield Business are listed here:

Beginning raw materials $ 20,000

Purchases of raw materials 90,000

Raw materials issued

Materials requisition 1445 25,000 For Job 101

Materials requisition 1446 35,000 For Job 102

Request for Materials 1447 30,000 used for a variety of jobs

The direct material cost is given as,

The direct raw materials used are the sum of the Materials requisition 1445 For Job 101 and Materials requisition 1446 For Job 102.

Direct raw materials used = $25,000 + $35,000

Direct raw materials used = $60,000

The indirect material cost is given as,

Amount to add to the Manufacturing Overhead account = Indirect materials used = $30,000

The ending balance is given as,

Ending raw materials balance = Beginning raw materials + Purchases of raw materials - Direct raw materials used - Indirect materials used = $20,000 + $90,000 - $60,00 - $30,000 = $20,000

The direct and indirect material costs and the ending balance will be $60,000, $30,000, and $20,000, respectively.

More about the direct and indirect material costs and the ending balance link is given below.

https://brainly.com/question/15398539

#SPJ1

The quadrilateral ABCD's vertices are located at A(-6,-1), B(-5,2), C(-1,5), and D. (0,-2).According to Parker, the quadrilateral ABCD is a parallelogram. Parker statement is true.

Given that

The quadrilateral ABCD's vertices are located at A(-6,-1), B(-5,2), C(-1,5), and D. (0,-2).

According to the statement

We have to find that the whether the quadrilateral is a parallelogram or not.

So, For this purpose, we know that the

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

From the given information:

The coordinates of the vertices of quadrilateral ABCD are A(-6,-1), B(-5,2), C(-1.-5), and D(0.-2).

Then

To show that the diagonals are bisect each other, we have to find the midpoint of both diagonals and if the midpoint is same then they bisect each other.

So,

Midpoint of AC = Midpoint of BD

Midpoint of A(-6,-1),C(-1.-5)  = Midpoint of B(-5,2),D(0.-2)

( -6-1/2 , -1-5/2) = (-5+0/2 , 2-2/0)

( -7/2 , -6/2) = (-5/2 , 0/2)

And these midpoints are not same then they do not bisect each other and then it is not a parallelogram.

So, The given quadrilateral is not a parallelogram.

To learn more about parallelogram visit: https://brainly.com/question/19187448

#SPJ1

It should be noted that sbsolute risk is the probability of an event.

It should be noted that absolute risk is used for the number of events which occurred in a group which is divided by the number of people in that group.

The response variable is the focus of a question in the experiment and an explanatory variable is one which explains changes in that variable.

The types of bar graph include:

The steps involved for the pie chart include:

Learn more about probability on:

https://brainly.com/question/25870256

#SPJ1