find the x value
x^2 - 3x + 2 = 0

Answer: 3

Step-by-step explanation: Dividing 600/188.4, we get 3 to the nearest whole number

Corrected Question

Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw the radius AB. What is the slope-intercept form (y = mx + b) of the equation of AB? Show your work.

Answer:

y=0.62x+2

Step-by-step explanation:

In the attached circle drawn using Geogebra

Gradient of AB, [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)=A(0,2)$ and (x_2,y_2)=B(1.7,3.05)[/tex]

[tex]m=\dfrac{3.05-2}{1.7-0} \\=\dfrac{1.05}{1.7}\\\\\approx 0.62[/tex]

Line AB intercepts the y-axis at y=2, therefore: b=2

The slope-intercept form of the line AB (in this case) is therefore:

y=0.62x+2

For every circle center A of radius r and point B chosen on the circumference, the equation of the line AB will be different.

You can try one of your own!!

Answer:  x=1

They all have 1 for their x coordinate; 'nuff said.

Answer:

The overview of the specific problem is outlined in the following section of the explanation.

Step-by-step explanation:

So that the above is the right answer.

Answer:

D

Step-by-step explanation:

each angle of the triangle is 95° and the second angle has to be in alphabetical order

The true statement is ∠BAC + ∠ABC = 95°

An angle is a figure formed by two rays or lines that share a common endpoint, called the vertex.

Angles can lie in a plane or be formed by the intersection of two planes or two curves. A reflex angle is an angle that is greater than 180 degrees but less than 360 degrees.

Given is a figure, we need to find the correct answer from the option,

We know that,

The sum of two opposite interior angles of a triangle is equal to the measurement of the exterior angle.

Therefore,

∠BAC + ∠ABC = ∠ACD

∠BAC + ∠ABC = 95°

Hence, the true statement is ∠BAC + ∠ABC = 95°

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there is no flow chart

Answer:

WHAT FLOWCHART?

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

According to Google "the reason 2+2 = 4, is because of their worth. put 2 fingers up (not to your mother), on both hands. start counting them and you'll have 4."

Answer:0.32

Step-by-step explanation: you’re welcome

Answer:

A.  y=2x-2

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

to find the slope intercept formula u need the slope, the y-intercept, and the X and Y

1st step: find the slope and to find the slope, pick any two points from the line

point 1: (2,2)

point 2: (3,4)

slope= y2-y1/x2-x1

4-2/3-2=2/1 or 2

the slope intercept form is y=mx+ b, so now substitute the variables for the known

y=2

x=2

m=2

2=2(2)+b

solve the equation

2=4+b

subtract 4 on both sides

b=-2

the slope intercept form is y=2x-2

Answer:

Y intercept is 0

Step-by-step explanation:

Answer:

Terry should buy half a liter because if he buys 250 millimeters, he will need to pay $20.28, which is more than 14.34.

Answer:

1.2 units

Step-by-step explanation:

2.6(d + 1.4) - 2.3d = 4

2.6d + 3.64 - 2.3d = 4

0.3d + 3.64 = 4

0.3d = 0.36

d = 1.2

Answer:

66

Step-by-step explanation:

to find the area of a triangle it is base times height at a 90 degree angle divided by to so

11x12 then divide by 2 = 66

Answer:

Step-by-step explanation:

Let the geometric means to be inserted be x, y and z. The geometric series will contain 5 terms as shown:

3, x, y, z, 48/625

Using the nth term of a geometric sequence to find the missing term.

[tex]Tn = ar^{n-1}[/tex] where:

a is the first term

n is the number of terms and

r is the common ratio

From the sequence, a = 3

[tex]T5 = 3r^{5-1} \\T5 = 3r^{4}[/tex]

Since the fifth term is 48/625 then:

[tex]3r^{4}=\frac{48}{625} \\r^{4}= \frac{48}{625*3} \\r^{4} = \frac{16}{625} \\r=\sqrt[4]{\frac{16}{625} } \\r = \frac{2}{5}[/tex]

To get the 2nd, 3rd and 4th term, we will substitute the value of the first term and the common ratio in the equation given.

[tex]T2 = 3(\frac{2}{5} )^{2-1}\\ T2 = 3*2/5\\T2 = 6/5[/tex]

when n = 3;

[tex]T3 = 3(\frac{2}{5} )^{3-1}\\ T3 = 3*(\frac{2}{5} )^{2} \\T3= 3*4/25\\T3 = 12/25[/tex]

when n = 4;

[tex]T4 = 3(\frac{2}{5} )^{4-1}\\ T4 = 3*(\frac{2}{5} )^{3} \\T4= 3*8/125\\T4 = 24/125[/tex]

The three positive geometric mean are 6/5, 12/25, 24/125

Answer:

A

Step-by-step explanation:

Answer:

i think it was 20

Step-by-step explanation:

i took the quiz

Answer:

20

Step-by-step explanation:

By The Way You Matter Dont Give Up

Answer:

draw a a big L and put your numbers

Answer:

b

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

<3 <3 <3

Answer:

a= 7.4

Step-by-step explanation:

Answer:

7.4                                                                                                      

Step-by-step explanation:

Get the squares of the two given sides , subtract them , to get a squared.

square root the answer , which is 55 , to get the actual side , which is 7.416...

round off to 1 dp to get 7.4

Answer:

6.1

Step-by-step explanation:

we will name the length in front of the angle , y :

tan(71°)≅2.904= y ÷2

⇒ y=  5.8

and we know that

c = [tex]\sqrt{2^{2} + y^{2} }[/tex]

then  

c = 6.14

and if we round it to the nearest tenth :

c = 6.1

Answer:

The boats will meet in 3.33 hours.

Step-by-step explanation:

A(t) = B(t)

3t = 30 - 6t

9t = 30

t = [tex]\frac{30}{9}[/tex]

t = 3.33

Answer:

e > 12000 pounds

Step-by-step explanation:

Since the elephant weighs over 12000 pounds it would not be greater than or equal to or less than or less tan or equal to so

if elephant = e than

e > 12000 pounds

Answer:

12

Step-by-step explanation:

We are told that the school won 75% of the games, this means that the school lost:

100% - 75% = 25%

the school lost 25% of the games that equate to 4 games:

Games          Percentage

    4           ⇔       25%

I will call 'x' the number of games that they won, which is the 75%:

Games          Percentage

    4           ⇔       25%

    x           ⇔       75%

we can solve this problem using the rule of three: multiply the cross quantities on the table (4 by 75) and then we divide by the remaining number on the table (25), thus the number of games they won is:

x = 4*75/25

x = 300/25

x = 12

they won 12 games

Another (perhaps simpler) way to find this same result is:

we know that 25% equals 4 games,

if we want 75%, this is 3 times more than 25% (because 25% times 3 is 75%) thus, the result (number of games they won) is 3 times more than 4:

4 * 3 = 12

Answer:

55°

Step-by-step explanation:

total angle of a triangle is 180°

we are given 2 angles

85+40+ x = 180

180-125 = 55° (x)

Answer:

6x squared

Step-by-step explanation:

Answer:

Three-tenths x squared

Step-by-step explanation:

i just did this

Answer:

1.) Circumference of circle A = 131.95 metre

2.) Circumference of circle B = 175.93 metre

3.) Yes. Radius is proportional to the circumference.

Step-by-step explanation: Given that Circle A has a radius of 21 meters and Circle B has a radius of 28 meters

Circumference of a circle = 2πr

For circle A

Radius r = 21

Circumference = 2 × 3.143 × 21

Circumference = 131.95 metre

For circle B

Circumference = 2 × 3.143 × 28

Circumference = 175.93 metre

Is the relationship between the radius of a circle and the distance around the circle the same for all​ circles? YES

Because the radius of the circle is proportional to the distance around them ( circumference ) for all the circle. That is, the larger the radius, the larger the circumference

Step-by-step explanation:

3

Answer:

Step-by-step explanation:

Given that ;

Carlos needs 1.7 meters of wire for one project    &

0.8 meters of wire for another project

we are to shade the model to represent the total amount of wire Carlos needs .

NOW;

For both projects ; Carlos needs ( 1.7 + 0.8) meters of wire =  2.5 meters of wire

In  the  attached files below. the first picture shows the diagram attached to the question and the second one shows the shading of the model which represent the total amount of wire Carlos needs.

Hey there! I'm happy to help! :D

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OVERVIEW

A complex number is a real number combined with an imaginary number (such as i, a number that will equal -1 when squared).

The complex plane is an interesting thing we use to graph complex numbers. The horizontal axis is where you plot the real part of the complex number, and the y-axis is where you plot the coefficient of the imaginary number.

For example, if I had the complex number 4+3i, I would plot the point (4,3) on the complex plane.

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MODULI

The modulus (plural is moduli) is the distance of a complex number from the origin on the complex plane. To find the modulus, you take the real number and the coefficient (basically the points of your graph), square them, add the results, and then you find the square root of that! Here's a little checklist so that you can always find the modulus of any complex number!

STEPS TO FIND MODULUS GIVEN COMPLEX NUMBER

STEP 1: PLOT THE COMPLEX NUMBER

Let's use our complex number 4+3i. If we plot it, the point will be (4,3)

STEP 2: TAKE YOUR VALUES OF X AND Y AND SQUARE THEM

4²=16

3²=9

STEP 3: ADD THESE SQUARES

16+9=25

STEP 4: SQUARE ROOT IT

√25=5

Therefore, the modulus (distance from the origin on the complex plane) of 4+3i is 5.

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SOLVING THE PROBLEM

In our case, we are given a modulus but not a point on the line. Our modulus is the square root of seventeen. We are going to have to the steps to find the modulus backwards to find our points. I will put the steps for finding a complex number given the modulus below.

STEPS TO FIND COMPLEX NUMBER GIVEN MODULUS

STEP 1: SQUARE THE MODULUS

√17²=17

STEP 2: FIND THE SQUARES THAT MAKE UP THE NUMBER

Before, we could just add things we found. Now, we have to find the things that were added! How do we know what things were added to find 17?  Well, we know that we added two squares to find the modulus, so we will subtract a square of some sort and hopefully come up with another square.

Let's see what squares exist that are less than seventeen.

1, 4, 9, 16

(Note that one is 1², 4 is 2², 9 is 3², and 16 is 4²)

Which of these can we add to get 17?

Well, we can do 1 and 16, so this is our result so far.

STEP 3: SQUARE ROOT THE RESULTS

Now, we just find the square roots of what we found in the last problem!

√1=1

√16=4

STEP 4: PLOT THE GIVEN NUMBERS ON THE PLANE AND FIND THE COMPLEX NUMBER

We can plot these either way because the modulus of 1+4i will be the same distance from the origin as 4+i because we only use the commutative property (adding order doesn't matter) when looking for the modulus. You can also have the negative version of either number because you immediately square it, so it can also be -4+i or 4-i! You can also rearrange the equation in tons of ways to figure it out. You could also have both be negative, flip the coefficient placement, etc.!

-------------------------------------------------------------------

SOLUTION

Therefore, the complex numbers that have a distance of √17 from the origin on the complex plane are ±4±i and ±1±4i. So, why did I write all of these funny plus and minus signs? Well, it's so that I didn't have to write all of the possible equations. I believe those equations actually represent 8 possible points we can create with the solution we got.

4+i

-4+i

4-i

-4-i

1+4i

-1+4i

1-4i

-1-4i

You can plug these complex numbers back in and find the modulus with my instructions to find the modulus given a complex number. Now, you will be able to deal with moduli and complex numbers for the rest of your life!

I hope that this helps! Have a wonderful day! :)

Answer:

The 1st intersection P(x, y) has x = -4 and y = -3 (as shown in graph).

Option B = -3 is correct.

Hope this helps!

:)

The y intercept value is option (B) -3

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis

Given

x intercept value = -4

From the graph we can say that y intercept value = -3

The y-intercept is the point where the line crosses the y-axis that is -3

Hence, the y intercept value is option (B) -3

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