find the perimeter using Pythagorean theory

Answer:

This quadratic has two unequal, imaginary roots.

Step-by-step explanation:

y = 3x^2 + 8 is a quadratic function, and (like all quadratics) it has two roots.  In this case they happen to be different (unequal), as well as imaginary.

Setting y = 3x^2 + 8 = 0, we get:

3x^2 = -8, or

x^2 = -8/3

Taking the square root of both sides, we get

x = ±i√(8/3) (2 imaginary roots)

Answer:

21 < x < 27

Step-by-step explanation:

Given that :

Side 1 = 23

Side 3 = x

Side 2 = 2x - 4

23 + x > 2x - 4

Collect like terms

x - 2x > - 4-23

-x > - 27

x < 27

Also ;

23 + 2x - 4 > x

23 - 4 > x - 2x

21 > - x

-21 < x

x > - 21

Hence,

Possible values of x :

x > 21 and x < 27

21 < x < 27

Answer:

[tex]\frac{10\sqrt{6} }{3}[/tex] and [tex]\frac{11\sqrt{3} }{3}[/tex]

Step-by-step explanation:

(a)

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = 2[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = [tex]\frac{10\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

= [tex]\frac{10\sqrt{6} }{3}[/tex] units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4[tex]\sqrt{2}[/tex] )² + ([tex]\frac{5}{\sqrt{3} }[/tex] )²

    = 32 + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{96}{3}[/tex] + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{121}{3}[/tex] ( take the square root of both sides )

h = [tex]\sqrt{\frac{121}{3} }[/tex] = [tex]\frac{11}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

h = [tex]\frac{11\sqrt{3} }{3}[/tex]

Answer:

2/3

Step-by-step explanation:

First, we read the two points with circles off the graph.

They are (-4, -5) and (5, 1).

slope = (y2 - y1)/(x2 - x1) = (-5 - 1)/(-4 - 5) = -6/(-9) = 2/3

Answer: 2/3

Answer:

6-12.

Step-by-step explanation:

Between 6 to 12 two numbers must the third side of the card fall.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that Sarah is creating a triangular birthday card for her teacher.

Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.

It should be known that two of the sides measure 4 inches and 9 inches.

Therefore, in between 6 to 12 the third number must be lie.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Answer:

Step by step

Step-by-step explanation:

Since we have the endpoints of the diameter, the midpoint coordinates of the line segment joining them gives the centre of the circle.

That is, centre (a,b) = ( [1+(-3)]/2, [4+2]/2) = (-1,3)

Distance between the given points give the diameter and half of that is the radius length.

So, radius r = (1/2)* sqrt ( [1-(-3)]^2 + [4–2]^2) = sqrt(5)

Thus equation required is: (x-a)^2 + (y-b)^2 = r^2

So, (x+1)^2 + (y-3)^2 = 5

The equation of the circle is (x + 1)² + (y - 3)² = 5

The endpoints of the diameter are given as:

(1, 4) and (−3, 2)

Start by calculating the midpoint using:

Midpoint = 0.5 * (x₁ + x₂, y₁ + y₂)

So, we have:

Midpoint = 0.5 * (1 - 3, 4 + 2)

Evaluate

Midpoint = (-1, 3)

So, the center (a,b) of the circle is:

(a,b) = (-1,3)

Calculate the length of the diameter using:

D² =(x₁ - x₂)² + (y₁ - y₂)²

This gives

D² = (1 + 3)² + (4 - 2)²

D² = 20

Take the square roots

D = 2√5

Divide by 2 to calculate the radius

r = √5

Square both sides

r² = 5

The equation of the circle is then represented as:

(x - a)² + (y - b)² = r²

This gives

(x + 1)² + (y - 3)² = 5

Hence, the equation of the circle is (x + 1)² + (y - 3)² = 5

Read more about circle equations at:

https://brainly.com/question/1559324

Answer:

x = 20°

Step-by-step explanation:

here's your solution

=> it is given that whole angle is 90°

=> so, x + (3x + 10) = 90°

=> x + 3x + 10 = 90°

=> 4x + 10 = 90°

=>4x = 90 - 10

=> 4x = 80°

=.

=> x = 80/4

=> x = 20°

one angle is 20° and other 70°

hope it helps

Answer:

20 is your answer

x+3x+10=90 being right angle

4x=90-10

x=80/4=20

its (-4,2),(3,3),(-2,2),(-1,2),(0,2,(1,2)

Answer:

(-3, -4)

Step-by-step explanation:

y= -4

so you plus y in for the y=2x+2 equation where you get x=-3

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{If y = -4 then SUBSTITUTE it into the EQUATION}[/tex]

[tex]\large\text{-4 = 2x + 2}[/tex]

[tex]\large\text{TURN the EQUATION}[/tex]

[tex]\large\text{2x + 2 = -4}[/tex]

[tex]\large\text{SUBTRACT by 2 to BOTH SIDES}[/tex]

[tex]\large\text{2x + 2 - 2 = -4 - 2}[/tex]

[tex]\large\text{CANCEL out: 2 - 2 because that gives you 0}[/tex]

[tex]\large\text{Keep: -4 - 2 because it helps us solve for x}[/tex]

[tex]\large\text{2x = -6}[/tex]

[tex]\large\text{DIVIDE by 2 to BOTH SIDES }[/tex]

[tex]\mathsf{\dfrac{2x}{2}=\dfrac{-6}{2}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{2}{2}}[/tex] [tex]\large\text{because that gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{-6}{2}}[/tex]  [tex]\large\text{because it gives us the value of x }[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf x = -3}}}\huge\checkmark\\\\\boxed{(-3,-4)}[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

[tex]\frac{2x+y}{w}[/tex]

Step-by-step explanation:

sorry dude my last brain cell ran after exam

Answer:

the answer is 6 percent

hope it was help full mark me as braniest

Answer: Question 1 is m=-7/4

Question 2 is -4 as the y axis where it intercepts and the other coordinate is (3,-2)

Step-by-step explanation:

Answer:

A. Add -2 to both sides

Step-by-step explanation:

The reason you need to add -2 to both sides is because if you add -2 to -2 it cancels out and you are left with x=18. But you need to add -2 to 18 too because them the equation won't be equal anymore.

Step-by-step explanation:

the three rational numbers equivalent to each of the following rational number:-

i) -2/5=-4/10,-6/15 and -8/20.

ii) 3/7=6/14,9/21_and 13/28

Answer:

number of cats

[tex]90 \times \frac{4}{15} \\ 24cats[/tex]

Responda:

21 dias

Explicação passo a passo:

Total de dias necessários = 70 dias

Dias usados ​​no mês 1 = 25 dias

Dias usados ​​no mês 2 = 24 dias

Dias usados ​​no total = 24 + 25 = 49 dias

Dias restantes :

70 dias - 49 dias

= 21 dias

Answer:23.1 ft

Step-by-step explanation:

Given

Point is 15 ft away from the base of the flagpole

The angle of elevation is [tex]57^{\circ}[/tex]

from the figure, we can write

[tex]\Rightarrow \tan 57^{\circ}=\frac{Y}{15}\\\\\Rightarrow Y=15\times \tan 57^{\circ}=23.09\approx 23.1\ ft[/tex]

The length of the flagpole is 23.1 ft

Answer: $117,000

Step-by-step explanation:

The maximum that Arianna may borrow is 2.5 times her annual income.

First step therefore, would be to calculate her annual income:

= 900 * 52 weeks

= $46,800

She may borrow 2.5 times this:

= 46,800 * 2.5

= $117,000

Answer:

10.

Step-by-step explanation:

Lets define a square root.  A square root is a number multiplied by itself.        10 x 10 = 100, this is the closest we can get to 105, therefore 10 is the answer.

Answer:  x= -6; y= -1

Step-by-step explanation:

-4x + y = 23

4x - 9y = - 15

-4x + y = 23

      y = 23 + 4x     [Add 4x to both side]

4x - 9(23 + 4x) = - 15

4x - 207 - 36x = - 15

-32x - 207 = -15

-32x = 192             [Add 207 to both side]

    x = -6                [Divide -32 from both side]

-4x + y = 23

-4(-6) + y = 23          [Plug in -6 for x]

24 + y = 23              [Subtract 24 from both side]

       y = -1

Answer:

$5.47

Step-by-step explanation:

You multiply 2 by 0.79. Then you add that result (1.58) to 3.89 and you get your answer.

Answer: B

`sqrt(8x^3 + 24x^2 + 18x)` = `sqrt(8x (x + 3/2))` = `sqrt(2x (4x + 6))` = ±(4x + 6) `sqrt(2x)`

Answer:

arc XY = 46°

Step-by-step explanation:

the arc of an inscribed angle is equal to 2 x the inscribed angle

mXY

Answer:

If x = -0.25 and y = -6 then we have -6(-0.25) = 1.5

Hope this helps!

it's 5 days, if you need an explanation feel free

Answer:

5 days

Step-by-step explanation:

for 100 people------------ last for 8 days

for 1 person-----------------last for 8x100=800 days

Therefore, for 160 people----------------last for(800/160)=5 days.