A perimeter of a square field is 160, what is the area of that field?

So, we need to solve the quadratic equation from quadratic formula as per the question, but before starting, let's first recall that, for any quadratic equation of the form ax² + bc + c = 0, the discriminant is given by D = b² - 4ac, and the value of x is given by :

Also, their are no real solutions of x i.e their are only imaginary values of x iff D < 0, equal and real roots iff D = 0 and real and distinct roots iff D > 0. So, let's convert the given equation to the standard form ax² + bx + c = 0 and then we will find the discriminant and then we will be solving for k ;

[tex]{:\implies \quad \sf 2k(k+5)=-25}[/tex]

[tex]{:\implies \quad \sf 2k^{2}+10k=-25}[/tex]

[tex]{:\implies \quad \sf 2k^{2}+10k+25=0}[/tex]

Now, on comparing this with the standard equation, we will get a = 2, b = 10 and c = 25, and then D = (10)² - 4 × 2 × 25 = 100 - 200 = - 100, now as D < 0, so their will be imaginary values of k, so now solving for k will yield by using the Quadratic Formula ;

[tex]{:\implies \quad \sf k=\dfrac{-10\pm \sqrt{-100}}{2\times 2}}[/tex]

[tex]{:\implies \quad \sf k=\dfrac{-10\pm 10\iota}{2\times 2}}[/tex]

[tex]{:\implies \quad \sf k=\dfrac{2(-5\pm 5\iota)}{2\times 2}=\dfrac{-5\pm 5\iota}{2}}[/tex]

[tex]{:\implies \quad \boxed{\bf{k=\dfrac{-5+5\iota}{2}\:\:,\:\: \dfrac{-5-5\iota}{2}}}}[/tex]

This is the required answer

Answer:

346.361 Yd^2 rounded to the nearest tenth is 346.4 Yd^2

Step-by-step explanation:

The area of a disk is A=π[tex]R^2[/tex] where R=10.5 yard.

Answer:

346.2 yd^2

Step-by-step explanation:

π*r^2 <== substitute the numbers for pi(π) and radius(r)

3.14*10.5^2

3.14*110.25

346.185 <== round to the nearest tenth

346.2 yd^2

Hope this helps!

Answer:

41.81°

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Answer:

35,000

Step-by-step explanation:

Answer:

Corey will have $4550.00 in is account after 10 years.

Step-by-step explanation:

This is simple interest. Here is the formula for simple interest.

[tex]A=P(1+r*t)[/tex]

A = Final Amount

P = Principal Amount

R = Interest Rate

T = Time

We are given values for P, r, and t. Lets solve for A.

To get 3 percent as a decimal divide it by 100. We get 0.03.

[tex]P=3500[/tex]

[tex]r=0.03[/tex]

[tex]t=10[/tex]

[tex]A=3500(1+0.03*10)[/tex]

[tex]A=3500(1+0.30)[/tex]

[tex]A=3500(1.30)[/tex]

[tex]A=4550[/tex]

Answer:

[tex] \frac{x}{3} + 4 = \frac{4x - 1}{5} \\ \\ \frac{x}{3} + \frac{12}{3} = \frac{4x - 1}{5} \\ \\ \frac{x + 12}{3} = \frac{4x - 1}{5} \\ \\ 3(4x - 1) = 5(x + 12) \\ \\ 12x - 3 = 5x + 60 \\ \\ 12x - 5x = 60 + 3 \\ \\ 7x = 63 \\ \\ x = \frac{63}{7} \\ \\ x = 9[/tex]

The window that has the shape of a kite has the area of the glass as 648 centimetre squared.

Area can be defined as the space occupied by a flat shape or the surface of an object. Therefore,

The window is the shape of a kite. Therefore, the square meters of the glass used for the window is the area of the window(kite).

Therefore,

area of kite = ab / 2

where

Therefore,

a = 18 + 18 = 36 cm

b = 15 + 21 = 36 cm

area of the window = 36 × 36 / 2 = 1296 / 2 = 648 cm²

learn more on area here:https://brainly.com/question/2494000

Answer:

no roots.

Step-by-step explanation:

1)   [tex]\sqrt{8x+16}=2-8; \ - \ correct;[/tex]

2)   [tex]\sqrt{8x+16}=-6; \ - \ correct;[/tex]

note, the value after operation 'square root' cannot be negative ('-6' is on the right side!), then

3) it means, the given equation has no real roots.

Answer:

x=30

Step-by-step explanation:

x = x

half of x  = (1/2) x = "its half"

third of x = (1/3) x = "its third"

"A number x when added to its half" = x + (1/2)x

"its third increased by 35" = (1/3)x + 35

according to the prompt, these two are equal, so

x + (1/2) x = (1/3)x + 35

x = 1x = (2/2)x to match denominators

(2/2)x + (1/2)x = (1/3)x + 35

= (3/2)x

(3/2)x = (1/3)x + 35

subtract (1/3)x from both sides to isolate the variable and its coefficients

(3/2)x - (1/3)x = 35

multiply both sides by 6 as that is the lowest common multiple of both 2 and 3 (2*3 = 6 so 6 is a multiple of both)

9x - 2x = 35*6

7x = 210

divide both sides by 7 to isolate x

x = 30

Answer:

you can find the answer in the given attachment

Step-by-step explanation:

1-P

2-G

3-T

4-O

5-S

6-E

7-D

8-C

9-A

Answer:

140% increase

Step-by-step explanation:

Percent increase = [(final - initial) ÷ initial] · 100

[(228 - 95) ÷ 95] · 100

[133 ÷ 95] · 100

1.4 · 100

140

Answer:

-1/3

Step-by-step explanation:

because it is a negative number and closer to zero than -3 is making it greater, becuase it is closer to a positive number.

Answer:

-1/3 is greater than -3

-3 < -1/3

Answer:

Simple it's not

Step-by-step explanation:

Answer:

wait.... 2x2 is 4 2 + 2 = 4?

Step-by-step explanation:

Answer:

[tex] \fbox{ \sf A) Age of Helen’s brother = N+1} \\ \fbox{ \sf B) Age of Helen’s brother = 13 \: year \: old} \\ \fbox{ \sf C) Age of Helen’s brother = x+1} [/tex]

Step-by-step explanation:

Given:

Helen's age = N year old

Helen's brother = One year older than helen

To find:

a. Write n algebraic expression for the age of Helen’s brother

b. Find her brother’s age if Helen is age 12

C. Find her brothers age If Helen is x years old

Solution:

A)algebraic expression for the age of Helen’s brother = Helen’s age + 1 = N+1

[tex]\fbox{Age of Helen’s brother = N+1}[/tex]

B) if helen is 12 year old then, N = 12

substituting the value of N in above equation,

Age of Helen’s brother = N+1 = 12+1 = 13 y/o

[tex]\fbox{Age of Helen’s brother = \: 13 \: year \: old}[/tex]

C) if helen is x year old then, N = x

substituting the value of N in above equation,

Age of Helen’s brother = N+1 = x+1

[tex]\fbox{Age of Helen’s brother = x+1}[/tex]

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Answer:

The odds of drawing a heart are 13:52

Explanation: A standard deck of card contains 52 card. There are 4 types of playing cards: clubs, diamonds, hearts and spades. Every type of them has 13 cards. How do u know that? Well just divide 52 by 4 and then you get 13.

Answer:

118

Step-by-step explanation:

Because if you add 34 and 28 you get 62 then if you minus 62 from 180 you get 118. Then you get 180 because all of the angles have to equal 180 degrees.

Answer:

A= 57.79 degrees

B= 32.58 degrees

C= 89.63 degrees

Step-by-step explanation:

hope this helps!

Answer:

A. 57.79

Got it right on Plato

Answer:

Already answered in advance in the comments section

Step-by-step explanation:

Feel free to ask more questions if any!

Answer:

5400

Step-by-step explanation:

the 89 is higher then 5 so it would round the 3 up to a 4

Answer:

5389 rounded to the nearest 100 is 5400

Step-by-step explanation:

we round the number up to the nearest 100 if the last 2 digits  of the number are 50 an d over we round the number down to the nearest 100 if the last 2 digets are 49 and below

Answer:

x= -4 and y=2

Step-by-step explanation:

-3x+y=14 ...eqn 1

2x+3y= -2....eqn 2

from eqn 1

-3x+y=14

y=14+3x

substitute y=14+3x into eqn 2

2x+3(14+3x) = -2

2x+ 42+ 9x = -2

11x= -2-42

11x= -44

x = -4

substitute X = -4 into eqn 1 to get y

-3x+y=14

-3(-4) +y =14

12+y= 14

y= 14-12

y =2

Answer:

x = 25

Step-by-step explanation:

This is just algebra involved with geometry!

Your objective is to solve for x.

The line dividing the 2x-5 and x+20 is the bisector

A bisector means the two angles have to be equal!

Your objective is to solve for x.

The line dividing the 2x-5 and x+20 is the bisector

A bisector means the two angles have to be equal!

2x-5=x+20 should be the equation!

Subtract x from both sides

x-5=20

Now add 5 to both sides

x=20+5

x=25

Now you need to plug the answers in!

50-5 for 2x-5

25+20 for x+20

45+45 = 90      

I don't really know about the 125 but if that was excluded then this is it ^^^

The value of x is,

⇒ x = 33.3°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

The value of total angle is, 125°

Hence, By definition of angles we get;

⇒ (2x - 5) + (x + 20) = 125°

⇒ 3x + 15 = 125°

⇒ 3x = 125 - 15

⇒ 3x = 110

⇒ x = 33.3°

Thus, The value of x is,

⇒ x = 33.3°

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ7

could you repost/answer with a picture?

Answer:

(B) 2x + 90 = 180 is an equation that could be used to find x.

Step-by-step explanation:

Observing at the triangle, we can see that..

- We are aware of two angel measurements, both of which are 45 degrees.

One triangle is exactly 180 degrees and if you add both 2 angel measurements from the triangles...

45 + 45 = 90 degrees

180 - 90 = 90 degrees

As a result, we know that x = 90. Now we find the equation. Lets look at equation B. ( 2x + 90 = 180 )

Step 1 : 90 should be subtracted from both sides.

2x + 90 − 90 = 180 − 90

2x = 90

Step 2 : Divide both sides by 2.

(When I use the symbol /, it signifies I'm dividing.)

2x/2  = 90/2

x = 45

Step 3: Examine your solution to see whether it is right.

2x + 90 = 180

2(45) + 90 = 180

90 + 90 = 180 ✓

This shows that 2x + 90 = 180 is an equation that could be used to find x.

Hope this helps! :D

Answer:

  9 1/2 inches

Step-by-step explanation:

The scale of a map is the ratio of map distance to represented distance. This can be used to write a proportion.

__

  map distance/represented distance = 1 in/(30 mi) = x/(285 mi)

where x represents the map length of the southern border.

Multiplying by 285 mi, we have ...

  x = (285 mi)(1 in)/(30 mi) = 9.5 in

The border is 9.5 inches on the map.

Answer:

1. -6

Step-by-step explanation:

f(x)=x²-9

g(x)= x-3

1. (f+g)(2) =

(2²-9)+(2-3) = (4-9)+(2-3) = (-5)+(-1)= -6

Answer:

12.738

rounded to the nearest hundred is 12.74

J

Step-by-step explanation:

both Rue and Zoe they earned that same amount after working for 4 hours as you see that both line both hit the point (4,24)