18
Write an equation in POINT-SLOPE FORM for the line that has a slope of
1
5
and passes through (1,-2).

Answer:

The coordinates of the dillated vertices are [tex]A'(x,y) = (2,2)[/tex], [tex]B'(x,y) = (4,4)[/tex], [tex]C'(x,y) = (8,2)[/tex] and [tex]D'(x,y) = (4,-2)[/tex].

Step-by-step explanation:

From Linear Algebra, we define dilation by the following equation:

[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)][/tex] (1)

Where:

[tex]O(x,y)[/tex] - Center of dilation, dimensionless.

[tex]P(x,y)[/tex] - Original point, dimensionless.

[tex]k[/tex] - Scale factor, dimensionless.

[tex]P'(x,y)[/tex] - Dilated point, dimensionless.

If we know that [tex]O(x,y) = (0, 0)[/tex], [tex]k = 2[/tex], [tex]A(x,y) = (1,1)[/tex], [tex]B(x,y) = (2,2)[/tex], [tex]C(x,y) = (4,1)[/tex] and [tex]D(x,y) = (2,-1)[/tex], then the dilated points are, respectively:

Point A

[tex]A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)][/tex] (2)

[tex]A'(x,y) = (0,0) + 2\cdot [(1,1)-(0,0)][/tex]

[tex]A'(x,y) = (2,2)[/tex]

Point B

[tex]B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)][/tex] (3)

[tex]B'(x,y) = (0,0) + 2\cdot [(2,2)-(0,0)][/tex]

[tex]B'(x,y) = (4,4)[/tex]

Point C

[tex]C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)][/tex]

[tex]C'(x,y) = (0,0) + 2\cdot [(4,1)-(0,0)][/tex]

[tex]C'(x,y) = (8,2)[/tex]

Point D

[tex]D'(x,y) = O(x,y) + k\cdot [D(x,y)-O(x,y)][/tex]

[tex]D'(x,y) = (0,0) + 2\cdot [(2,-1)-(0,0)][/tex]

[tex]D'(x,y) = (4,-2)[/tex]

The coordinates of the dillated vertices are [tex]A'(x,y) = (2,2)[/tex], [tex]B'(x,y) = (4,4)[/tex], [tex]C'(x,y) = (8,2)[/tex] and [tex]D'(x,y) = (4,-2)[/tex].

Answer:

x = 75

Step-by-step explanation:

1. Find the inner angle (opposite from where x is), using the outer angle of 150.

Note: these two angles are supplementary, meaning that they add up to 180 degrees.

Since the outer angle is 150, the inner angle is 30 degrees because 150+30 = 180.

2. Find the other two angles to get x.

The red markings on the two sides of the triangle indicate that this is an isocoleses triangle. Isocoleses triangles have two congruent angles. This means that the remaining two angles will be the same.

With that in mind, recall what I said about the angles being supplementary. All angles in a triangle add up to 180. So, use the following equation and solve for x.

2x + 30 = 180 (Subtract 30 from both sides)

2x = 150 (divide by 2)

x = 75

3. x = 75

Answer:

X = 65 degrees

Step-by-step explanation:

180 - 150 = 30 the angle beside the 150 degrees

180 - 30 = 130    180 degrees is the sum of all three angles in a triangle

130/2 = 65    since both sides are equal the other 2 angles are the same

Answer:

Code: Olivia-2.40

Step-by-step explanation:

Given that:

Maggie runs 1/4 of a mile in 1.3 minutes

1/4 can also be written as 0.25

Speed = [tex]\frac{Distance}{Time}[/tex]

Speed = [tex]\frac{0.25}{1.3}[/tex]

Speed of Maggie = 0.19 miles per minute

Speed of Maggie per hour = 0.19*60 = 11.40 miles per hour

Olivia runs 2/3 of a mile in 2.9 minutes

Speed = [tex]\frac{\frac{2}{3}}{2.9}=\frac{2}{2.9*3}[/tex]

Speed = [tex]\frac{2}{8.7}[/tex]

Speed of Olivia = 0.23 miles per minute

Speed of Olivia per hour = 0.23*60 = 13.80 miles per hour

Therefore,

Olivia runs faster.

Difference = 13.80 - 11.40 = 2.40 miles

Hence,

Code: Olivia-2.40

Answer:

Olivia-2.25

If you would like me to explain why, please let me know.

Step-by-step explanation:

9x^2 + 9y^2 + 18xy

9(5)+18(-2)

45-36

9

Answer:

Sharon's mom baked 36 cookies for her and 5 other friends. Each had an equal amount of cookies. How many did each of them have and how many are left? (This is probably wrong, don't listen to me.)

Step-by-step explanation:

Answer:

2

Step-by-step explanation: I'm not very smart, nor do I understand this, so it's probably wrong but I'm just trying to help

Answer:

False.

:D

幸運を！

Answer:

A) The best option would be a fixed weekly salary of $ 450.

B) The difference between the two options is $ 106.64.

Step-by-step explanation:

A) To determine which option would result in a better salary, knowing that on the one hand you can have a fixed salary of $ 450 per week without commission, while on the other you can have a salary of $ 115 per week plus a commission of 9.5% on the total sales of Each associate, knowing that the average annual sales of each associate in the last year was $ 125,000 and that each year has 52 weeks, the following calculation must be made:

125,000 / 52 = Average sales per week

2,403.84 = Average sales per week

2,403.84 x 0.095 = Weekly commission

228.36 = Weekly commission

228.36 + 115 = Weekly salary

343.36 = Weekly salary

Therefore, the best option would be a fixed weekly salary of $ 450.

B) The difference between both options arises from the subtraction between each amount received by the worker, that is:

450 - 343.36 = X

106.64 = X

Therefore, the difference between the two options is $ 106.64.

Answer:

i tkinhk it 1.30

Step-by-step explanation:

Answer:

16 students

Step-by-step explanation:

48+64=112

the highest number that can go into 112 equally is 16 so htere would be 7 rows and 16 students in each row

Answer:

is it a division or addition

Step-by-step explanation:

for me the answer is 786

Answer:

The answer is D

Step-by-step explanation:

8% of 550 is 44

44 + 550 = 594

Answer:

D) $594

Step-by-step explanation:

550 x 1.08 = 594. You're multiplying by 1.08 because of the 8% tax added onto the original price.

Answer:

the percentage of adults have stage 2 high blood pressure is 0.0057

Step-by-step explanation:

The computation of the percentage of adults have stage 2 high blood pressure is shown below;

Given that

mean = 117

Standard deviation = 17

and, the sample is 160

Now based on the above information,

The percentage is

= (Sample - mean) ÷ (standard deviation)

= (160 - 117) ÷ (17)

= 2.529

p(z>2.53) = 0.0057

hence, the percentage of adults have stage 2 high blood pressure is 0.0057

Answer:

x=8

Step-by-step explanation:

Answer:

Has only 1 solution

Step-by-step explanation:

Step-by-step explanation:

By Sine rule, BC/sin93° = 11/sin42°.

Therefore BC = 16.4.

Step-by-step explanation:

Step 3 is incorrect, it should be x - 4 + x = x(x - 3).

x - 4 + x = x(x - 3)

2x - 4 = x² - 3x

x² - 5x + 4 = 0

(x - 4)(x - 1) = 0

x = 4 or x = 1.

x = 4 is rejected as 1 / (x - 4) will become 1 / 0 which is undefined.

=> x = 1.

Answer:

Let's assume that Susan's graph is linear. Then, we can do linear interpolation. Let y be the amount charged for 10 hours of work done:

(7-10)/(7-11) = (168-y)/(168-264)

y = $240

For Jim's Lawn care, let's find the constant slope using points (1,20) and (2,40):

m = (20 - 40)/(1-2) = 20

Then, since the y-intercept is zero, the linear equation is:

y = 20x

Substituting x = 10 hours,

y = 20(10) = $200

The difference between the two would then be:

Difference = $240 - $200 = $40

Answer:

0.9

0.3012

0.1809

230258.5

Step-by-step explanation:

Given that:

μ = 100,000

λ = 1/μ = 1 / 100000 = 0.00001

a. Fails in less than 10,000 hours.

P(X < 10,000) = 1 - e^-λx

x = 10,000

P(X < 10,000) = 1 - e^-(0.00001 * 10000)

= 1 - e^-0.1

= 1 - 0.1

= 0.9

b. Lasts more than 120,000 hours.

X more than 120000

P(X > 120,000) = e^-λx

P(X > 120,000) = e^-(0.00001 * 120000)

P(X > 120,000) = e^-1.2

= 0.3011942 = 0.3012

c. Fails between 60,000 and 100,000 hours of use.

P(X < 60000) = 1 - e^-λx

x = 60000

P(X < 60,000) = 1 - e^-(0.00001 * 60000)

= 1 - e-^-0.6

= 1 - 0.5488116

= 0.4511883

P(X < 100000) = 1 - e^-λx

x = 100000

P(X < 60,000) = 1 - e^-(0.00001 * 100000)

= 1 - e^-1

= 1 - 0.3678794

= 0.6321205

Hence,

0.6321205 - 0.4511883 = 0.1809322

d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

P(x > x) = 10% = 0.1

P(x > x) = e^-λx

0.1 = e^-0.00001 * x

Take the In

−2.302585 = - 0.00001x

2.302585 / 0.00001

= 230258.5

Using the exponential distribution, it is found that:

a) There is a 0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.

b) There is a 0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.

c) There is a 0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.

d) The 90th percentile is of 230,259 hours.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:  

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this problem:

Mean of 100,000 hours, hence, they decay parameter is [tex]\mu = \frac{1}{100000}[/tex]

Item a:

[tex]P(X \leq 10000) = 1 - e^{-\frac{10000}{100000}} = 1 - e^{-0.1} = 0.0952[/tex]

0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.

Item b:

[tex]P(X > 120000) = e^{-\frac{120000}{100000}} = e^{-1.2} = 0.3012[/tex]

0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.

Item c:

[tex]P(X \leq 60000) = 1 - e^{-\frac{60000}{100000}} = 1 - e^{-0.6} = 0.4512[/tex]

[tex]P(X \leq 100000) = 1 - e^{-\frac{100000}{100000}} = 1 - e^{-0.6} = 0.6321[/tex]

[tex]P(60000 \leq X \leq 100000) = P(X \leq 100000) - P(X \leq 60000) = 0.6321 - 0.4512 = 0.1809[/tex]

0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.

Item d:

This is x for which:

[tex]P(X > x) = 0.1[/tex]

Hence:

[tex]e^{-\mu x} = 0.1[/tex]

[tex]e^{-0.00001 x} = 0.1[/tex]

[tex]\ln{e^{-0.00001 x}} = \ln{0.1}[/tex]

[tex]-0.00001 x = \ln{0.1}[/tex]

[tex]x = -\frac{\ln{0.1}}{0.00001}[/tex]

[tex]x = 230259[/tex]

The 90th percentile is of 230,259 hours.

A similar problem is given at https://brainly.com/question/25645425

Answer:

jflsnfjclewndlsfjnenqwpcpoop

Step-by-step explanation:

Hehe

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', the equation becomes

y ∝ x

y = kx

where 'k' is called the constant of proportionality.

From the table, it is clear that 'y' varies directly with 'x'

Let us check the value of k for all the points

k = y/x

For the point (130, 9.10)

For the point (145, 10.15)

For the point (150, 10.50)

For the point (185, 12.95)

Thus, the value of proportionality constant is same.

i.e. k = 0.07

Determining the cost of 21 feet of the wire

21 feet = 252 inch

Using the equation

y = kx

Thus, the cost of 252-inch wire will be:

y = kx

substituting k = 0.07, and x = 252

y = 0.07 × 252

y = 17.64 Dollars

Thus, the cost of 21 feet wire will be: 17.64 Dollars

Determining the cost of 15 yards of the wire

15 yards = 540 inches

Using the equation

y = kx

Thus, the cost of 15 yards of wire will be:

y = kx

substituting k = 0.07, and x = 540

y  =  0.07 × 540

y = 37.8 Dollars

Thus, the cost of 15 yards of wire will be: 37.8 Dollars

Answer:

304/9 as fraction

33.7 decimal

I cannot say steps i apologize.

Step-by-step explanation:

Answer:

A. M and P

Step-by-step explanation:

To be perpendicular, they only need to have opposite reciprocal slope. For example, the lines, y=3x+8 and y= -(1/3)x-3 would be perpendicular because -1/3 is the opposite reciprocal of 3.

Answer:

6.25

Step-by-step explanation:

Since 2.5 is squared, we should multiply it by itself once which will give us 6.25

Answer:

2.5^2 = 6.25

Step-by-step explanation:

2.5^2 is basically the same thing as 2.5*2.5, so you can do these either way if you like.  You should get 6.25 as your result of the answer.

Answer:

"’I don't want a fashionable wedding, but only those about me whom I love, and to them I wish to look and be my familiar self.’"

Step-by-step explanation:

Answer:

the one above my answer is correct

Step-by-step explanation:

Answer:

x=-7,5

Step-by-step explanation: