What is the quotient of 1+i/
3+4i

Answer:

Perimeter of the quadrilateral PQRS is 25 units

Step-by-step explanation:

From the figure attached,

PQ is a tangent to the given circle so m∠PQR = 90°

Now we apply Pythagoras theorem in the ΔPQR,

PR² = PQ² + QR²

(PT + TR)²= PQ² + 5²

(4 + 5)² = PQ² + 25

81 = PQ² + 25

PQ = √(81 - 25)

     = √56

     ≈ 7.5 units

PQ ≅ PS ≅ 7.5 units

[Since measures of tangents drawn from a point to a circle are always equal]

Perimeter of PQRS = PQ + QR + RS + PS

                                = 7.5 + 5 + 5 + 7.5

                                = 25 units

Therefore, perimeter of the quadrilateral PQRS is 25 units.

Answer:

10 + 4 square root 14

Step-by-step explanation:

so the person below or above me said 25 units and they are not wrong it just the did have it in a simple equation like this ^

so 4 square root 14 = 14.9 or 15

then 10 + 15 = 25 units

so the correct answer is 10 + 4 square root 14

I ALSO TOOK THE TEST AND IT WAS CORRECT :)

Answer:

216

Step-by-step explanation:

I think that it is 216 because if you add 18 and 10 you get 28 then multiply 28 by 12 then you get 336. Then you will find the area of the unshaded part which is 120. Then you will subtract 120 from 336 to get 216.

Hope this helps

Answer:

Step-by-step explanation:

(1-3)/(5-1)= -2/4= -1/2

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

y - 3 = (-1/2)x + 1/2

y - 6/2 = (-1/2)x + 1/2

y = (-1/2)x + 7/2

Answer:

What is 19 percent (calculated percentage %) of number 50? Answer: 9.5.

Step-by-step explanation:

Answer:

9.5

Step-by-step explanation:

19% of 50

Convert the percentage to a decimal.

19% = 0.19

Multiply the decimal by the number.

50 × 0.19 = 9.5

9.5 is the answer.

Answer: (-3,5),(3,2),(5,1)

Step-by-step explanation:

Answer:

ade

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6(4) = 24

Answer:

24

Step-by-step explanation:

Answer:

So the d) is right.

Step-by-step explanation:

we have:

-6x^2 - 2 - 3x=-8

6x^2 + 3x - 6 =0

The delta = 3^2 -4*6*(-6) = 9 + 144 = 153= 9*17

These 2 solutions are:

[tex]x_{1} =\frac{-3+3\sqrt{17} }{2*6} = \frac{-3+3\sqrt{17} }{12} =\frac{-1+\sqrt{17} }{4} \\x_{2} =\frac{-3-3\sqrt{17} }{2*6} = \frac{-3-3\sqrt{17} }{12} =\frac{-1-\sqrt{17} }{4}[/tex]

So the d) is right.

Answer:

x(1/2)-5

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Given

y = 34[tex](5)^{x}[/tex]

To find the y- intercept let x = 0, that is

y = 34[tex](5)^{0}[/tex] = 34 × 1 = 34 ← y- intercept

Omg! Thank you. I was stuck for like an hour till I found this.

Answer:

Omg, thank you so much

Step-by-step explanation:

Answer:

the correct answer would be 5(2x+5)

Step-by-step explanation:

Answer:all the terms have in common is 1x

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

Answer:

p < 1500

Step-by-step explanation:

Answer:p is more than or equal to (> with line under) 1500.

Step-by-step explanation:

Answer:

Just put the numbers in order then the interquartile range would be the largest number from the high quartile and the lowest number from the lower quartile.

Answer:

2

Step-by-step explanation:

The radius is half of the distance across the circle

The answer is 2 units

Answer:

[tex]\frac{9}{20}miles^2=0.45miles^2[/tex]

Step-by-step explanation:

To find the area of a rectangle:

[tex]a=l*w[/tex]

where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

In this case:

length: [tex]l=\frac{9}{10}miles[/tex]

width: [tex]w=\frac{1}{2} miles[/tex]

thus, we multiply this quantities to find the area:

[tex]a=(\frac{9}{10} miles)(\frac{1}{2}miles )\\\\a=\frac{9*1}{10*2}miles^2\\ \\a=\frac{9}{20}miles^2[/tex]

the area of this rectangle is 9/20 miles squared, or what is the same 0.45 miles squared

Answer:

A

Step-by-step explanation:

[tex](2^{-4}z^{-3})^{5}[/tex]

several ways to approach this.

use power rule.  [tex](a^{m} )^{n} = a^{mn}[/tex]

[tex](2^{(-4*5)}z^{(-3*5)} )[/tex]

[tex](2^{-20} z^{-15} )[/tex]

RULE:  [tex]x^{-1} = \frac{1}{x}[/tex]

[tex]\frac{1}{(2^{20}z^{15}) }[/tex]

Answer:

Step-by-step explanation:

y + 5 = 2(x + 2)

y + 5 = 2x + 4

y = 2x - 1

Answer:

First Option; 40,

Second Option; x = 3,

Third Option; x = - 5,

Fourth Option; x = 0

Step-by-step explanation:

Given the expression x^2 + 3 * ( x + 4 ), where x = 4;

x^2 + 3 * ( x + 4 ) ⇒ Substitute the value of 4 in replacement of x,

( 4 )^2 + 3 * ( 4 + 4 ) ⇒ Add the terms in ( ), taking 4^2 at the same time,

16 + 3 * ( 8 ) ⇒ By PEMDAS, multiply 3 by 8 first,

16 + 24 ⇒ And now add the remaining terms,

Solution; 40

This next equation is given to be 5 * ( 2x - 1 ) = 25, where we must solve for x;

5 * ( 2x - 1 ) = 25 ⇒ Distribute the 5 to the terms in ( ),

10x - 5 = 25 ⇒ Add 5 on either side of the equation,

10x = 30 ⇒ Divide 10 on either side of equation,

Solution; x = 3

Here we must solve for the value of x provided the equation 6x + 4 - x = 2x - 11;

6x + 4 - x = 2x - 11 ⇒ Add 11 on either side,

6x + 15 - x = 2x ⇒ Add x on either side of equation,

6x + 15 = 3x ⇒ Subtract 6x on either side,

15 = - 3x ⇒ Divide 3 on either side,

Solution; x = - 5

Now we are given the equation 4 - ( 3x + 4 ) = - 9x, solving for the value of x;

4 - ( 3x + 4 ) = - 9x ⇒ Distribute the - 1 to all terms in ( ),

4 - 3x - 4 = - 9x ⇒ Add 3x on either side of equation,

4 - 4 = - 6x ⇒ Subtract 4 from 4,

0 = - 6x ⇒ Divide - 6 on either side,

Solution; x = 0

Answer:

Look at the attachment

- sorry that it’s a bit messy, if you can’t read something let me know

The amount in equation is 5d + 3h + 8s = 231.

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given:

Jeremy had 5 Roosevelt dimes,

3 Kennedy half dollars,

and 8 silver dollars in his coin.

Total amount = $231

As, let d be the collector value of a dime

let h be the collector value of a half dollar

let s be the collector value of a silver dollar

Now, to represent the amount in equation

5d + 3h + 8s = 231

Learn more about equation here:

https://brainly.com/question/11897796

#SPJ5

Answer:

a=(-3.2)

Step-by-step explanation:

a+(-1.3)=(-4.5)=a-1.3=(-4.5)

a=(-3.2)

Please mark as Brainliest! :)

Have a nice day.

Answer:

a=-3.2

Step-by-step explanation:

Simplify the equation:

a - 1.3 =-4.5

Add 1.3 to both sides:

a -1.3 +1.3 =-4.5+1.3

a=-3.2

Answer:

your answer should be 40

Step-by-step explanation:

the square's area is 4x4=16

and the triangles are 4(.5(3x4))=24

24+16=40

Answer:

Best Answer:  f(x) = 3x - 1, g(x) = 2x - 3

f(2) = 3(2) - 1 = 6 - 1 = 5.

2x - 3 = 5

2x = 8

x = 4. This value ensures g(x) = f(2).

pls give brainliest

Answer:

[tex]=\frac{3x+2}{x\left(x+1\right)}[/tex]

or

[tex]\frac{(3x+2)}{x^2+x}[/tex]

Step-by-step explanation:

[tex]\frac{2}{x}+\frac{1}{x+1}\\\mathrm{Least\:Common\:Multiplier\:of\:}x,\:x+1:\quad x\left(x+1\right)\\Adjust\:Fractions\:based\:on\:the\:LCM\\Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:x\left(x+1\right)\\\mathrm{For}\:\frac{2}{x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x+1\\\frac{2}{x}=\frac{2\left(x+1\right)}{x\left(x+1\right)}\\[/tex]

[tex]\mathrm{For}\:\frac{1}{x+1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x\\\frac{1}{x+1}=\frac{1\cdot \:x}{\left(x+1\right)x}=\frac{x}{x\left(x+1\right)}\\=\frac{2\left(x+1\right)}{x\left(x+1\right)}+\frac{x}{x\left(x+1\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2\left(x+1\right)+x}{x\left(x+1\right)}\\[/tex]

[tex]\mathrm{Expand}\:2\left(x+1\right)+x:\quad 3x+2\\2\left(x+1\right)+x\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=x,\:c=1\\=2x+2\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2x+2\\\mathrm{Simplify}\:2x+2+x:\quad 3x+2\\2x+2+x\\\mathrm{Group\:like\:terms}\\=2x+x+2\\\\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=3x+2\\=\frac{3x+2}{x\left(x+1\right)}[/tex]

We have been given a circle H, in which length of arc XY is 78 miles and measure of arc XY is 70 degrees. We are asked to find the radius of circle.

We will use arc length formula to solve our given problem.

[tex]\text{Arc length}=2\pi r\cdot \frac{\theta}{360^{\circ}}[/tex], where,

r = Radius of circle,

[tex]\theta[/tex] = Central angle corresponding to arc.

We know that the measure of central angle that corresponds to arc XY will be equal to measure of arc XY.

[tex]78=2\cdot 3.14\cdot r\cdot \frac{70^{\circ}}{360^{\circ}}[/tex]

[tex]78=2\cdot 3.14\cdot r\cdot \frac{7}{36}[/tex]

[tex]78= 3.14\cdot r\cdot \frac{7}{18}[/tex]

[tex]78= r\cdot \frac{21.98}{18}[/tex]

[tex]r\cdot \frac{21.98}{18}=78[/tex]

[tex]r\cdot \frac{21.98}{18}\cdot \frac{18}{21.98}=78\cdot \frac{18}{21.98}[/tex]

[tex]r=63.8762511373[/tex]

Upon rounding to nearest hundredth, we will get:

[tex]r\approx 63.88[/tex]

Therefore, the radius of circle H is approximately 63.88 miles.

Answer:

The fist left

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

We need to understand what is the line of best fit

A line representing the best data on a distributed chart. This line can go through some points, no point or all points.

In the attached photo, we can see that the 1st left line is the best represent for the relationship between two variables,x and y.

Hope it will find you well.

Answer:

y=-2x-1

Step-by-step explanation:

Since the m term in this equation (the number that comes right before the x) is -2, that means that the slope of this line is -2.