Write an equation of the line that
passes through (-1,2) with a slope
of 4​

Answer:

5

Step-by-step explanation:

The left side is equal to:

x/(2.52-2.02) = x/0.5 = 2x

Let's simplify the numerator of the right side.

9*(31/20 - 1.05) = 9*(0.5) = 9/2

The denominator is 43/40 - 35/8 /7 = 43/40 - 5/8 = 43/40 - 25/40 = 18/40 = 9/20.

So 2x = (9/2)/(9/20) = 10

x = 5

Answer:

x=-2835/62 or (in decimal form) 45.726

Step-by-step explanation:

Hope this helps!

Brain-List?

Answer:

there are 16 ounces in a pound.

16/7=2.28571428

2 full ounces with a bit left over.

2.29

Answer:

To solve the problems in this lesson, students use the slope formula, which states that m = (y2 -- y1) / (x2 -- x1). The slope formula can be read as "slope equals the second y coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate".

Hope helps

Answer:

Velocity of plane is 100 mi/hr along northeast direction

Step-by-step explanation:

From the question it is given that Initial velocity of plane is 150 mi/hr along east north direction and wind is blowing at 50 mi/hr along southwest direction

since the velocity of wind and plane is exactly opposite

⇒ relative velocity of plane with respect to wind is given by

[tex]v_r_e_l = v_p - v_w[/tex] where [tex]v_p[/tex] is the velocity of plane = 150mi/hr and [tex]v_w[/tex] = velocity of wind = 50 mi/hr

Therefore, [tex]v_r_e_l = v_p - v_w[/tex]  = [tex]v_r_e_l = 150 - 50 = 100 mi/hr[/tex] alond northwest direction

Therefore, velocity of plane is 100 mi/hr along northeast direction

By working with the velocity vectors, we will find that the direction of motion of the plane is 28.7 south of east.

First, we need to define our coordinate axis, I will define the x-axis as the east and the y-axis as the north.

We know that the plane travels at 150 mi/hr at 100° east of north, notice that if we measure from the positive x-axis, this is equivalent to an angle of -10°.

So the vector is:

V =  < 147.7 mi/hr,  -26 mi/hr >

Now we know that the wind blowing at 50mi/hr at southwest, exactly southwest would be at an angle of 225°, so the components of the vector are:

So the vector is:

W = < -35.4 mi/hr, -35.4 mi/hr>

The sum of the vectors gives the total velocity of the plane in the wind, we will get:

V + W =  < 147.7 mi/hr -35.4 mi/hr ,  -26 mi/hr -35.4 mi/hr >

V + W =  <112.3 mi/hr, -61.4 mi/hr>

The direction of a vector <x, y> is given by:

θ = Atan(y/x)

Then in this case the direction of the plane is:

θ = Atan(-61.4 mi/hr/112.3 mi/hr) = -28.7°

So the direction of the plane is 28.7° south of east.

If you want to learn more about vectors, you can read:

https://brainly.com/question/17108011

Answer:

y= -2x + 9

Step-by-step explanation:

I got 2x because you use rise over run. As you can see in the image, the slope goes up two and to the left one ( 2x). It's plus 9 because that where it intersects the 9 on the y-intercept. The slope is negative because the line is going down from left to right ( always read it from left to right).

I hope this helps. I'm not that great at explaining so....:)

Answer:

2x+y-9=0

Step-by-step explanation:

let's take two co ordinates

(X1,y1)=(4,1)

(X2,y2)=(3,3)

Equation using two point :

(y-y1)/(y2-y1)=(x-x1)/(x2-x1)

plug in the values,(y-1)/(3-1)=(x-4)/(3-4)

(y-1)/2=(x-4)/-1

-1*(y-1)=(x-4)*2

-y+1=2x-8

0=2x+y-9

2x+y-9=0

Answer:

10z-6q..............

Answer: yes

Step-by-step explanation:

Answer:

22.74 i think

Step-by-step explanation: Add 22.75 to 10.50 then subtract that number to 55.99

Answer:

22.74

Step-by-step explanation:

Answer:

41 pages of notes

Step-by-step explanation:

Since he took 1 page of notes for each hour, and attended 33 hours of class, this will add 33 pages of notes to his notebook.

To find the total, add 8 to this, because he already had 8 pages on his own.

33 + 8

= 41

So, he will have 41 pages of notes in his notebook

Answer:

He will have 41 pages of notes in his notebook.

Step-by-step explanation:

(33*1)+8

30*1=30

3*1=3

30+3=33

33+8

41

Answer:

They are both the same

Step-by-step explanation:

(ratio of brown eyes to blue eyes)

Ms. Abbott's class- 18:12

Ms. Downey's class-  15:10

if you simplify both of the ratio's you'll get 3:2 for both of them. Therefore both classes have the same ratio of brown eyes to blue eyes.

Answer:

Because of the distance from the sun to the earth being 2 meters and 25 inches, we can infer that the 1st president of Canada was Ben Franklin. Ben Franklin is on the 7 dollar bill, which means the Illuminati is real. This means the radius of the earth traveling to the sun from mars to jupiter would be a total of 6.96969696969669 milimeters. So in conclusion, yes she was old enough.

Step-by-step explanation:

answer:

$0.02

-- let me know if you have any questions regarding this.

Answer:

12

Step-by-step explanation:

15 feet total amount combined by pole and birdhouse

4 foot tall person makes 5 feet long shadow

5x3=15

4x3=12 so the birdhouse and pole are 12 feet

The birdhouse and the pole are 18.75 ft tall.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a person standing nearby who casts a shadow 5 feet long. The person is 4 feet tall.

Assume that for the birdhouse and the pole are [x] ft tall.

Now, for a 4 feet tall person, the shadow is 5 feet long.

Then, for one feet long person, the shadow would be (5/4) feet long.

Then, for 15 feet long -

x/15 = 5/4

x = (15 x 5)/4

x = 75/4

x = 18.75 feet tall

Therefore, the birdhouse and the pole are 18.75 ft tall.

To solve more questions on Equation modelling, visit the link below-

https://brainly.com/question/9144182

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Answer:

k47n4

Step-by-step explanation:

Answer: would it be the 12th year and a half

Step-by-step explanation: because since it increases then half of the year it would be $30,400

Answer:8 14/15

Step-by-step explanation:

(2+6)+(1/3+3/5)

8+ (1/3+3/5) Find the common denominator

8+(5/15+9/15)

8 14/15

Answer:

14

Step-by-step explanation:

= 1/4(56)

= 14

step by step

Answer:

180 hours

Step-by-step explanation:

24 hrs in a day

5/6 of 24 is 20 and multiply it by 9 because there are 9 days

=180

Answer:

its 180 houe=rs i agree

Step-by-step explanation:

C A B E D

i think this is the answer

Answer:

Solution

=

−

3

7

7

Step-by-step explanation:

I got that answer right on ed2020

Answer:

5^8 .. you have to do it like this 5^(2×4)

Answer:

750 minutes

Step-by-step explanation:

8 pages in 20 minutes

300 / 8 = 37.5

37.5 * 20 = 750

Answer:

2nd one...............

Answer:

1,127.00

Step-by-step explanation:

The total cost overall is 1,118.83. However you can round and estimate it to 1,127.00

Answer:

The standard error of the sample mean  (S.E) = 0.7835

Step-by-step explanation:

Explanation:-

Given mean of the Population = 62.95 inches

Given standard deviation of the Population = 5.65 inches

The standard error of the sample mean is determined by

                  [tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]

                [tex]S.E = \frac{5.65}{\sqrt{52} } = 0.7835[/tex]

The standard error of the sample mean  is approximately (S.E) = 0.7835.

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Supopse that we're given that:

Population standard deviation =[tex]\sigma[/tex]

Size of sample we're working on = n

Then, the standard error can be calculated as:

[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]

where SE denotes the standard error.

A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters.

The population means is 62.95 inches with a standard deviation of 5.65 inches.

The mean of the Population = 62.95 inches

The standard deviation of the Population = 5.65 inches

The standard error of the sample mean can be determined by

[tex]= \dfrac{Standard deviation }{\sqrt{sample size}}\\\\\\= \dfrac{5.65 }{\sqrt{52}}\\= 0.7835140[/tex]

Learn more about standard error here:

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Question

Find cos θ for θ = 60°

Answer:

Step-by-step explanation:

Corresponding parts have same ratio:

Q1

Q2

Answer:

Step-by-step explanation:

Answer:

The value of f(x) - g(x) is:

f(x) - g(x) =  2x² + 6x - 4

Step-by-step explanation:

Given

f(x) = 3x² + x - 3

g(x) = x² - 5x + 1

To determine

f(x) - g(x)

Using the formula

f(x) - g(x) =  3x² + x - 3 - ( x² - 5x + 1)

              = 3x² + x - 3 - x² + 5x - 1

              = 2x² + 6x - 4

Therefore, the value of f(x) - g(x) is:

f(x) - g(x) =  2x² + 6x - 4

Answer:

he bought 17 book.