Write the equation of the line in point-slope form y - y1 = m ( x - x1). From the two given points ( -2, 5 ) and ( 3, -1 ). (hint: find m and the point)

Answer: f(x)=(x+(-6))²+(-65)

Step-by-step explanation:

f(x)=x²-12x-29

f(x)=x^2-2(x)(6)+6^2-6^2-29

f(x)=x^2-12x+6*6-6*6-29

f(x)=x^2-12x+36-36-29

f(x)=(x-6)²-65

f(x)=(x+(-6))²+(-65)

Answer:

(x-6)^2-65

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Answer:

Step-by-step explanation:

Slope of line s:

Rotation 90 clockwise rule:

The slope of line t:

The product of slopes:

Answer:

Step-by-step explanation:

Given:

Slope of Line S - (b - 0)/(0 - (-a)) = b/a

Remember the clockwise rule:

(-a, 0) → (0, a)

(0, b) → (b, 0)

Slope of line T - (0- a)/(b - 0) = -a/b = -a/b

The product of slopes: b/a × (-a/b) =  -1

So, finally, our answer is:

Carry On Learning!

.5(4*11) - .5(2*3)

22- 3= 19

i didn't get any of the answers you put i got 19

Answer:

The equation that models her distance from home, y, as a function of time, x will be:

Step-by-step explanation:

We know that the slope-intercept form of a linear function is

y = mx+b

Here m is the slope and b is the y-intercept

Given that Aniyah is driving home at a constant speed.

at t = 20 minutes, she has covered 70 miles

so the rate of change = 70/20

                                     = 3.5 miles per minute

Finding the y-intercept by substituting m = rate of change = 3.5 and the point (20, 70)

y = mx+b

70 = 3.5(20) + b

b = 70 - 70

  = 0

Thus, the equation becomes

y = mx+b

y = 3.5x + 0

y = 3.5x

Therefore, the equation that models her distance from home, y, as a function of time, x will be:

Answer:

m<4 = 44°

Step-by-step explanation:

m<8 = 34°

m<9 = 40°

m<3 = 62°

m<2 = 34° + 40° (exterior angle theorem of a triangle)

m<2 = 74°

m<3 + m<4 + m<2 = 180° (sum of ∆)

62° + m<4 + 74° = 180° (substitution)

m<4 + 136° = 180°

m<4 = 180 - 136 (substitution property of equality)

m<4 = 44°

Answer:

Step-by-step explanation:

3/5 x 100%

60%

Answer:60%

Step-by-step explanation: All percents are out of 100 so do 100 divided by the denominator. 100 divided by 5 is 20 so multiple 3 by 20 and you get 60/100= 60%

Answer:

[tex]|z| = 27[/tex] -- Modulus

[tex]\theta = \frac{\pi}{3}[/tex] --- Argument

Step-by-step explanation:

Given

[tex]((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6[/tex]

Required

Determine the modulus and the argument

We have that:

[tex]z = ((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6[/tex]

Expand:

[tex]z = (\sqrt 3)^6(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6[/tex]

[tex]z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6[/tex]

A complex equation can be expressed as:

[tex]z = |z| e^{i\theta}[/tex]

Where

[tex]|z| = modulus[/tex]

[tex]\theta = argument[/tex]

Where

[tex]e^{i\theta} = (cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})[/tex]

So:

[tex]z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6[/tex] becomes

[tex]z = 27(e^{i\frac{\pi}{18}})^6[/tex]

By comparison:

[tex]e^{i\theta} = (e^{i\frac{\pi}{18}})^6[/tex]

This gives:

[tex]{i\theta} = i\frac{\pi}{18}}*6[/tex]

[tex]{i\theta} = i\frac{6\pi}{18}}[/tex]

[tex]{i\theta} = i\frac{\pi}{3}}[/tex]

Divide through by i

[tex]\theta = \frac{\pi}{3}[/tex]

Hence, the modulus, z is:

[tex]|z| = 27[/tex]

And the argument [tex]\theta[/tex] is

[tex]\theta = \frac{\pi}{3}[/tex]

Answer: C. M=27 A=pi/3

Step-by-step explanation:

edge

Answer:

84

Step-by-step explanation

Basically you just have to do 9 3/5*8 3/4. Then you get 84 as the final answer

I hope this helps!!

The area of the rectangular room would be 84 square meters.

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

A rectangular room that is 9 3/5 meters long and 8 3/4 meters wide

According to the given question, we can write the dimension as:

The width of the room = 8 3/4 meters = 35/4 meters

The length of the room = 9 3/5 meters = 48/5 meters

The area of the room = width of the room ×  length of the room

The area of the room = 35/4 × 48/5

Apply the multiplication operation,

The area of the room = 84 square meters

Therefore, the area of the room is 84 square meters.

Learn more about the Area of the rectangle here:

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Answer:

The rule is that any number raised to the power of 0 equals to 1. So if 2 or 1,000,000 is raised to the power of 0 it equals 1.

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

The rule is any number raised to the power of 0 is equal to 1

ex. if 200 is raised to the power of 0, it will be 1  

Answer:

35 and 15

Step-by-step explanation:

7+3=10

50÷10=5 so you multiply each number by five

7×5=35

and

3×5=15

Step-by-step explanation:

let the number be 7x &3x

now,

7x+3x= 50

10x=50

x=50

10

x=5

again,

7x=7×5 = 35

3x= 3×5 =15

therefore the two number are 35 & 15.

hope it helps.

Answer:

0.2

Step-by-step explanation:

Answer:this did not work for me

Step-by-step explanation:

Answer:

1

Step-by-step explanation: anything raised to zero is one

Answer:

1

Step-by-step explanation:

anything to the power of zero is equal to 1

Hope this helps!      :3

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Answer:

7.785

Step-by-step explanation:

William and Jill together is 3.114 so just times that by 2.5 and your good

Answer:

7.785 lbs

Step-by-step explanation:

add 2.35 and .764 then multiply by 2.5

Answer: 24%

Step-by-step explanation:

45 is the total number of occurrences, and 6 different occurrences round it off to 8 being the closest to 25% thus that's how I figured out 24

Answer:

-7π/3 or -420 degrees

Step-by-step explanation:

So we know that the arrow has made one full rotation and that it is moving in a clockwise direction. So already we have -2π degrees.

The arrow stops at π/6 before the next π/2 rotation. Therefore we find the difference between the two.

π/2 - π/6

3π/6 - π/6 = 2π/6

π/3

Since this is still clockwise, we make this negative. So the measure of the angle shown by the arrow is -2π - π/3

a) Another name for plane Z is LN plane.

b) PHJ and M are distinct points that are collinear.

c) N and K are distinct points that are coplanar.

d) HL and HK are distinct lines that intersect

a) The common point in lines LN and PN  is N and it is the intersection point.

b) Any three non-collinear locations inside a plane can be used to give it a name. Points H, J, and K cannot be combined because an unlimited number of planes cross through them. Think about the flat piece of paper rotating about this axis (like a propeller). We can only build one specific plane if the points are not all along the same line.

I'll choose P, H, and J as the non-collinear points to give the object the name Plane PHJ. There may be other solutions.

c) Because they are on the same line, points H, J, and K are collinear. Fill up the answer box by selecting either H or K. I'll choose point K.

d) Line HK and point P are parallel. Both of them are present on the same flat piece of paper or on the same flat plane.

That flat plane can be compared to the surface of the earth, but point N is located underneath. Therefore, the ground plane and point N wouldn't be coplanar.

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Answer:

2/5

Step-by-step explanation:

Answer:

0.857 miles in 1 hour

Step-by-step explanation:

It is given that,

A crew of highway workers paved 12 mile in 14 hour.

We need to find how much will they pave in 1 hour if they work at the same rate.

14 hours = 12 miles

To find how much they pave in 1 hour, we must divide 12 by 14 as follows :

[tex]1\ \text{hour}=\dfrac{12}{14}\ \text{miles}\\\\=0.857\ \text{miles}[/tex]

Hence, they pave 0.857 miles in 1 hour.0.857 miles in 1 hour.

Answer:

Step-by-step explanation:

I gave you the answer earlier too!

for more info !

Which means the 3rd side of the triangle is equal to 1/2 of the line drawn by joining the mid points

which means

2x-4 = 1/2×21

thus, 2(2x-4) =21

=> 4x-8 = 21

4x = 29

If the first term is 5 and the common ratio is 6 then the fourth term of the sequence be 1080.

Given that the first term is 5 and the common ratio is 6.

We are told to find the fourth term of the sequence.

Because there is common ratio of the sequence so the given sequence is a geometric progression.

A geometric progression is basically the sequence in which each term is varied by another by a common ratio.

Nth term of GP=a[tex]r^{n-1}[/tex]

4th term is first term is 5 and the common ratio is 6=5*[tex]6^{4-1}[/tex]

=5*[tex]6^{3}[/tex]

=5*216

=1080

Hence if the first term is 5 and the common ratio is 6 then the fourth term of the sequence be 1080.

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Answer:

the answer its 44=0

Step-by-step explanation:

18y-6y+22=11(y-2)+y1

We move all terms to the left:

18y-6y+22-(11(y-2)+y1)=0

We add all the numbers together, and all the variables

12y-(11(y-2)+y1)+22=0

We calculate terms in parentheses: -(11(y-2)+y1), so:

11(y-2)+y1

We add all the numbers together, and all the variables

y+11(y-2)

We multiply parentheses

y+11y-22

We add all the numbers together, and all the variables

12y-22

Back to the equation:

-(12y-22)

We get rid of parentheses

12y-12y+22+22=0

We add all the numbers together, and all the variables

44=0

are not solution for this equation

Hope helps you and have a great day !

♡ Answer ♡

G) 1/12

♡ Step-by-step explanation ♡

  In order to figure out this problem, we have to take a few relatively simple steps.

  First, we must count the total number of coins in the cash register. Do not change the value of these coins. Simply take the numbers listed in the problem and add them up. Your process for completing this step should look something like this: 10+11+13+6 equals 40. With this being said, there are 40 coins in the cash register.

  Next, we must remember the values of the two coins the question is asking for: pennies and dimes. Keep in mind that, out of all 40 coins, 10 of them are pennies and 13 of them are dimes.

  Then, we write the fractions used to find the answer to this problem. In the question, the cashier (hypothetically) draws a penny first, and then a dime. This means a penny is drawn before a dime is drawn. (Although it seems like a miniscule detail, this knowledge is actually something extremely important to remember. This small piece of information can actually change the entire answer if not used properly.)

  In this problem, the cashier would choose a single penny out of the 10 in contrast to the total 40 coins. Since there are 10 pennies overall, and 40 coins overall, the probability of choosing a penny first is 10/40.

  After we complete the probability of choosing a penny before all else, we must find the probability of choosing a dime after choosing a penny. Since the dime will be chosen after the penny is chosen, one coin will be gone: the chosen penny. So, the total amount of coins within the cash register changes (or more specifically decreases (by 1)) from 40 to 39. However, the amount of dimes, 13, stays the same. With this information in mind, we can write a fraction of 13/39 for the probability of choosing a dime after choosing a penny.

  Finally, now that we have both probability fractions, we can figure out the answer to the question. In order to do this, we multiply and simplify both fractions. 10/40*13/39 is 130/1560. 130 ÷ 130 is 1. 1560 ÷ 130 is 12. 1 ÷ 12 can also be written as 1/12. Therefore, the answer to this problem is G) 1/12.

(The paragraph and author's note below are technically optional thought processes and information, but read them if you wish. Although I would recommend reading further, considering another way to solve the question is mentioned, it is entirely you (the reader's) choice.)

  You can also check this answer through the other/alternate way of solving this problem: by simplifying both probability fractions before you multiply them. 10/40 can be simplified to 1/4. 13/39 can be simplified to 1/3. After doing this, we multiply both simplified probability fractions in order to find, or in this case check, the answer. 1/4*1/3 is 1/12. 1/12 is the same fraction as the one present in choice G. This is the same answer as the one we previously got. This enforces the idea that G) 1/12 is indeed the answer to this question.

  A/N (Author's Note): Although it took quite a while to jot down, this was truly a blast to write and explain! I hope this helped those that needed/wanted it. Have a wonderful week reader(s)!

Answer:A

Step-by-step explanation:

Answer:

Slide to the left then rotate 90° to the right then slide down then rotate 180° to the left/ right.

Answer: Approximately 51%

Step-by-Step-Explanation:

Given -

We must find:

Profit (Numbers Given)

$38.50 - $25.50 = $13.00

Profit, (In percent)

13/25.50 × 100 ≈ 51%

Answer:

900

Step-by-step explanation:

3 squared is 9. 9 time 100 is 900

Answer:

1,600,000 is the answer