What is the equation of the line that passes through (4, -1) and (-2, 3)?

Answer:

              [tex]\boxed{\bold{y=-5(x-4)^2+1}}[/tex]

Step-by-step explanation:

[tex]y=a(x-h)^2+k[/tex]    - vertex form of equation of a parabola where vertex is (h,k)

[tex]y=a(x-4)^2+1[/tex]  - vertex form of equation of a parabola where vertex is (4,1)

The parabola goes through point (3, -4) so if x=3 then y=-4

[tex]-4=a(3-4)^2+1\\\\-4-1=a(-1)^2+1-1\\\\-5=a\cdot1\\\\{}\ \ a=-5[/tex]

Therefore the equation of the parabola in vertex form with vertex (4,1), going through point (3,-4):

[tex]y=-5(x-4)^2+1[/tex]

Answer:

1. 2/4 = 1/2

6.5/x = 1/2

13 = x

13 inches of snow

2. Y=2x

3. 47.99999997 inches of snow

Step-by-step explanation:

Answer:

i dont speek Spanish sorry

Answer:

Distributive Property

Step-by-step explanation:

First you would solve the left side of the equation. For this you would use the distrubutive property.

5x + 20 = 5x + 20

So the answer is the distributive property.

Hope this helped!!!

Answer:

The correction is  D

Step-by-step explanation:

From the question we are told that

    The maximum height is  [tex]h_m = 18 ft[/tex]

    The minimum height is [tex]h_i = 4 ft[/tex]

     The function that models the height of the blade is [tex]h(x) =- 14 sin(x) + 18[/tex] here x is time in seconds

 Now at maximum height

       [tex]18 = - 14 sin(x) + 18[/tex]

=>     [tex]-14 sin(x) =0[/tex]

=>     [tex]sin(x) =0[/tex]        

=>     [tex]x =sin^{-1}[0][/tex]

=>     [tex]x =0 \ s[/tex]    

 Now at minimum  height

        [tex]4 = -14 sin(x) + 18[/tex]

=>      [tex]-14 = -14 sin(x)[/tex]

=>     [tex]sin (x) = 1[/tex]

=>     [tex](x) = sin^{-1}[1][/tex]

=>     [tex]x = 1.6 \ s[/tex]

Now this values is the time taken to move from the higher position of the blade to the lower position of the blade

Now it will take this same amount of time to complete the circle

So the total time take is

    [tex]x_t = 2 * |x|[/tex]

=>   [tex]x_t = 2 * 1.6[/tex]

=>   [tex]x_t = 3.2 \ s[/tex]

Answer:

  9862.069 meters per minute

  or

  591724.138 meters per hour

Step-by-step explanation:

572000 meters ÷ 58 minutes = 9862.069 meters per minute

If you need this in meters per hour, multiply by 60 as there are 60 minutes   in 1 hour.

60 * 9862.069 = 591724.138 meters per hour

If you need to convert to miles per hour:

  1 meter = 0.0006213712 miles

  591724.138 * 0.0006213712 = 367.68 miles per hour

Answer:

200

Step-by-step explanation:

Change 8 hours to minutes so the units are the same.  8(60) = 480.  Using a proportion the equation is 5/12 = j/480.  [jumps/minutes]  To solve the equation, cross multiply:  12j = 5(480) ; 12j = 2400;  j = 2400/12;  j = 200.

Answer:

180-(59-24)

180- 83 =97

Answer:

I would say about 13 minutes.

Step-by-step explanation:

9 4/5 KPH is about 6.1224489795918 Kilometers per minute

Multiply by 2 1/5 KPM

6.1224489795918 x 2 1/5 = 13.4693877551 Minutes

Answer: 13.469 or about 13.5 minutes

Step-by-step explanation:

Estimating part:

The first number can be rounded to 10, and second number to 2

You can set up a proportional equation

[tex]\frac{10 kilometers}{60 minutes} = \frac{2 kilometers}{x}[/tex]

then cross multiply to get 10x=120, then divide to get x = 12 minutes

Exact answer:

I like making fractions into decimals to make it easier to see

The first number as a decimal is 9.8, and the second is 2.2

Set up another proportional equation

[tex]\frac{9.8 kilometers}{60 minutes} = \frac{2.2 kilometers}{x}[/tex]

cross multiply to get 9.8x = 132

divide by 9.8 on both sides to get x = 13.5 minutes

Answer:

D

Step-by-step explanation:

5×pi= 15.7 > 15. good luck on your test

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) h(t) = 5t + 10

2) plugging in t as 12 to our function, h(12) = 5 * 12 + 10 = 70

3) h(5) = 35 is the function representing the height, 35 feet, travelled in a period of time, 5 seconds.  

Angle 4 and angle 5 are interior angles on the same side of transversal , which means the sum of angle 4 and angle 5 will be equal to 180° .

Answer:

Both are facial expressions bu a frown is with the eyebrows together and forehead wrinkles and usually the person is wooried or sad and a smile is formed primarily by flexing the muscles at the sides of the mouth.

Step-by-step explanation:

Given:

Anna is three years older than Matthias.

Miss Smith is four times as old as Anna.

Mr Smith is five years older than his wife.

Together they are 72 years.

To find:

The age of each family member.

Solution:

Let age of Matthias be x years.

Anna is three years older than Matthias.

Anna's age = x+3

Miss Smith is four times as old as Anna.

Miss Smith's age = 4(x+3)

Mr Smith is five years older than his wife Mrs Smith.

Mr Smith's age = 4(x+3)+5

Together they are 72 years.

[tex]x+(x+3)+4(x+3)+[4(x+3)+5]=72[/tex]

[tex]x+x+3+4x+12+4x+12+5=72[/tex]

[tex]10x+32=72[/tex]

Subtract 32 from both sides.

[tex]10x=72-32[/tex]

[tex]10x=40[/tex]

Divide both sides by 10.

[tex]x=4[/tex]

Now,

Matthias's age = 4 years

Anna's age = 4+3

                  =  7 years

Miss Smith's age = 4(4+3)

                           = 4(7)

                           = 28 years

Mr. Smith's age = 4(4+3)+ 5

                          = 28+5

                          = 33 years

Therefore, the ages of Matthias, Anna, Miss Smith and Mr Smith are 4, 7, 28 and 33 respectively.

Answer:

That would be .51000

Answer:

[tex]5.1[/tex]×[tex]10^{-4}[/tex]

[tex]6.3[/tex]×[tex]10^{-3}[/tex]

Step-by-step explanation:

If you move the decimal 4 times to the right, since it's a negative, you'll get the number 0.00051.

If you move the decimal 3 times to the right, since it's also a negative, you'll get the number of 0.0063.

Hope this helps!

Answer:

4th and 5th

Step-by-step explanation:

4th as 2 pairs of sides are equal and opposite angles of a parallelogram are equal

5th as 1 pair of given angles are equal, 1 pair of given sides are equal, and vertically opposite angles are equal.

Step-by-step explanation:

I believe the answer was:

175; Since 175 have a cat or a cat and dog, then the number that have a dog only is 350 − 175 = 175.

Answer:

if it is a square, then it must be a quadrilateral

C. -3°F

If it went down by 18 in 6 hours we simply do:

-18/3

Which gives you:

-3

So The Answer Is...

C. -3°F

Answer:

see attached image

Step-by-step explanation:

Answer:

54 does equal 54. So this problem is true

Step-by-step explanation:

6*9=54

6*5=30

6*4=24

30+24=54

54 does equal 54

Answer:

it has the same answer because 6(5)+6(4)=6(9) so they are the same

Step-by-step explanation:

copy and paste that ;)

Answer:

p ≤ 8

Step-by-step explanation:

Given the following :

Maximum weight elevator can hold ≤ 1800

Weight of delivery person and packages = 520 pounds

Average weight of a person = 160 pounds

Inequality to show how many additional people elevator can hold?

(weight of delivery person and packages + average weight of persons * number of persons) ≤ 1800

Let p = number of persons

(520 + 160p) ≤ 1800

160p ≤ 1800 - 520

160p ≤ 1280

p ≤ 1280 / 160

p ≤ 8

Answer:B

Step-by-step explanation:

The distribution of the number of snacks grabbed is skewed right with a centre around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45. Therefore, option B is the correct answer.

A stem and leaf plot also called a stem and leaf diagram is a way of organizing data into a form that makes it easy to observe the frequency of different types of values. It is a graph that shows numerical data arranged in order. Each data value is broken into a stem and a leaf.

A stem and leaf plot is represented in form of a special table where each first digit or digit of data value is split into a stem and the last digit of data in a leaf. This " | " symbol is used to show stem values and leaf values and it is called as stem and leaf plot key.

First, we can see if the graph is symmetric. A symmetric graph is even on both sides of the centre. As there are a lot more students that grabbed a small number of snacks, the data is not even around the centre (which is somewhere around 20 or 30 snacks). This means that the graph is not symmetric, making the second answer incorrect.

Next, we can check if the graph is skewed right or left. If the left of the graph represents a smaller amount of snacks and the right of it represents a higher number of snacks, we can see that most of the data is on the left of the graph. There are a few values to the right, but the overwhelming amount of data is on the left, making the distribution skewed to the right. This keeps the first and last answers possible,

Moreover, we can find the centre of the distribution. This is generally equal to the median, which is 18, so the centre is around 18.

After that, we can see what values vary. The lowest tens value is 1, and the lowest value in that is 2, making the lowest value 12. Similarly, the highest tens value is 4, and the highest value there is 5, making the range 12 to 45. This leaves the last answer, but we can check the outliers to make sure.

With the data, we can calculate the first quartile to be 15, the third quartile to be 21.5, and the interquartile range to be 21.5-15 = 6.75. If a number is less than Q₁ - 1.5 × IQR or greater than Q₃ + 1.5 × IQR, it is a potential outlier. Applying that here, the lower bound for non-outliers is 15 - 6.5 × 1.5 = 5.25, and the upper bound if 21 + 6.5 × 1.5 = 30.75. No values are less than 5.25, but there are four values greater than 30.75 in 32, 38, 42, and 45. There are possible outliers at 38, 42, and 45, matching up with the last answer.

Therefore, option B is the correct answer.

To learn more about the stemplots visit:

https://brainly.com/question/9125085.

#SPJ2

Answer:

Step-by-step explanation:

300

300

Simple

18,000/60 = 300

Answer:

rate =  92.6 miles/hours

Step-by-step explanation:

Here rate means speed

formula for speed = distance/time

since distance here is 25 miles

and time taken is 0.27 hours

thus,

speed = distance to be traveled/time in which this distance is covered

speed = 25 miles/ 0.27 hours = 92.6 miles/hours

thus, rate should be  92.6 miles/hours to make the appointment in time.