Equation of line in slope intercept form

Answer ASAP

An ordered pair is a solution to the equation y = 4x + 15 if when its elements are substituted into the equation, both sides of the equation hold equal. For instance, the ordered pair (2,23) is a solution to this equation.

The question is asking which ordered pair is a solution to the linear equation y = 4x + 15. An ordered pair consists of values of x and y that make this equation true. Therefore, we plug in the values of the ordered pair into the equation.

For example, if we have the ordered pair (2,23), we substitute the x value (2) and y value (23) into the equation: y = 4x + 15 becomes 23 = 4*2 + 15. By doing the calculation, we find that the left side of the equation equals the right side, therefore, (2,23) is a solution for the equation y= 4x+15.

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The ordered pair (2, 23) is a solution to the equation y = 4x + 15. By substituting x = 2, the corresponding y value is 23, validating the solution in the linear relationship.

To find an ordered pair that is a solution to the equation y = 4x + 15, we can choose values for x and compute the corresponding y value.

Let's try x = 2:

y = 4(2) + 15 = 8 + 15 = 23

So, the ordered pair (2, 23) is a solution to the equation.

In this context, for any chosen x, plugging it into the equation and calculating y will yield a valid solution. The equation represents a linear relationship where y is four times x plus 15. Therefore, any pair of x and y that satisfies this relationship is a solution to the equation. The solution set consists of an infinite number of ordered pairs, each representing a point on the graph of the linear equation.

The probable question may be:

What ordered pair is a solution to the equation

y= 4x+15

2⃣, -4⃣ = x; no radical necessary.

Answer:

x=44

Step-by-step explanation:

Answer:

[tex]\left\{x\ |-4<x<6\right\}[/tex]

Step-by-step explanation:

We need to write a compound inequality to represent all of the numbers between -4 and 6. Which should be done in set builder notation .

if x represents the required number then we can write x>-4 and x<6

or we can write -4<x<6

Hence required inequality in set builder notation will be given by :

[tex]\left\{x\ |-4<x<6\right\}[/tex]

Answer:

A. 2x/3y^2

HOPE THIS WILL HELP YOU

The correct answer that Latesha should write on her homework paper is 2x/3y2. Hence, the correct option is A.

The polynomial expression that Latesha needs to simplify is 16x^2y / 24xy^3. To simplify this expression, each term in the numerator should be divided by each corresponding term in the denominator that it is divisible by. Her steps should be as follows:

Divide both coefficients (numbers) by their greatest common divisor, which in this case is 8. So, 16 divided by 8 is 2, and 24 divided by 8 is 3.

Look at the powers of x and y and simplify. Subtract the exponents of like bases (16x2y has x2 and 24xy3 has x1, so you subtract 1 from 2 and get x to the power of 1, or just x).

For y, since y is on the top and bottom, subtract the exponents (1 - 3 = -2), which means y squared will be in the denominator.

Putting it all together, you get 2x / 3y2
which corresponds to answer choice A. 2x/3y2.

Therefore, the correct answer that Latesha should write on her homework paper is A. 2x/3y2.

Answer:

Your answer is correct

Answer:

You are correct!

Step-by-step explanation:

Answer:

Second answer choice

Step-by-step explanation:

Since -10 is outside t you multiple every number inside the parenthesis by -10

Answer:

I believe the answer is 90.6

Step-by-step explanation:

I added 200+900+240+70+855 and got 2,265.  If I divide that by 25 I get 90.6.  

Hope this helps!

Answer with Step-by-step explanation:

A class of 25 students took a spelling test.

Number of students                  Marks obtained

2                                                       100

9                                                        95

10                                                       90

3                                                         80

1                                                          70

Average marks=sum of marks/number of students

Sum of marks=100×2+9×95+10×90+3×80+70×1

                     =2265

Number of students=25

Average=2265/25

             =90.6

Hence, average score of the spelling test rounded to one decimal place is:

90.6

Answer:

7z + 17

Step-by-step explanation:

15 and 2 are the only alike terms.

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Shown below

Dilation is when you stretch something by the same amount in two perpendicular directions. In other words, dilation changes size, not overall shape. Dilation factors greater than one makes the shape greater while dilation factors less than one makes the shape smaller. To dilate a shape with a certain scale factor centered at the origin, we just need to multiply each point by that scale factor. Since the figure is a rectangle, we just need to take the vertices of this figure, therefore:

A(-2,1)

B(1,1)

C(-2,3)

D(1,3)

So, the new points will be:

A'(-2x3, 1x3) = A'(-6, 3)

B'(1x3, 1x3) = B'(3, 3)

C'(-2x3, 3x3) = C'(-6, 9)

D'(1x3, 3x3) = D'(3, 9)

The new shape is shown below. As you can see, the new rectangle is greater than the original because the scale factor is greater than one.

Answer:

Option A is correct.

Step-by-step explanation:

A complex number is that which has imaginary number i.e i in it.

We know √-1 = i

So, any term containing √-1 can be complex number.

In our question option A is only number having √-1 so, Option A i.e

[tex]\frac{2}{3} + \sqrt{-\frac{7}{3} }[/tex] is complex number.

Option: A is the correct answer.

The one which is a complex number is:

              A.   [tex]\dfrac{8}{3}+\sqrt{-\dfrac{7}{3}}[/tex]

We know that the complex number is one which is expressed in the form of :

                 a+ib

where a and b belongs to the set of real numbers.

and i is known as a imaginary number which is represented by:

            [tex]i=\sqrt{-1}[/tex]

A)

[tex]\dfrac{8}{3}+\sqrt{-\dfrac{7}{3}}[/tex]

This could also be written in the form of:

[tex]\dfrac{8}{3}+\sqrt{\dfrac{7}{3}\times -1}\\\\i.e.\\\\=\dfrac{8}{3}+\sqrt{\dfrac{7}{3}}\cdot \sqrt{-1}\\\\i.e.\\\\=\dfrac{8}{3}+i\cdot \sqrt{\dfrac{7}{3}}[/tex]

Hence, the number is in the form of:

              a+ib

where

[tex]a=\dfrac{8}{3}[/tex] which is a rational number and hence belong to real number

and

[tex]b=\sqrt{\dfrac{7}{3}}[/tex] which is a irrational number and hence belong to a real number.

A circle is a curve sketched out by a point moving in a plane. The measure of the angle is 72°.

And, The measure of the angle is 126°.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

Now, Let the angle that turns through 1/5 of the circle be x.

We know that the measure of the center of a circle is 360°, while it is given that the angle turns through 1/5 of the circle.

Therefore, the angle will turn 1/5 of 360°.

⇒ x = 1/5 × 360°

⇒ x = 72°

Thus, the measure of the angle is 72°.

And, For angle that turns through 3/5 of a circle.

The value of angle is,

⇒ x = 3/5 × 360°

⇒ x = 216°

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Answer:

Option B. [tex]26\°[/tex]

Step-by-step explanation:

step 1

Find the measure of angle EBD

we know that

[tex]m<EBD+m<CBD+m<ABE=180\°[/tex]

remember that

[tex]m<EBD=m<CBD[/tex]

[tex]m<ABE=52\°[/tex]

substitute the values

[tex]2m<EBD+52\°=180\°[/tex]

[tex]2m<EBD=180\°-52\°[/tex]

[tex]m<EBD=128\°/2=64\°[/tex]

step 2

Find the measure of the angle EDB

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

In the right triangle BED

[tex]m<EBD+m<BED+m<EDB=180\°[/tex]

we have

[tex]m<EBD=64\°[/tex]

[tex]m<BED=90\°[/tex]

substitute

[tex]64\°+90\°+m<EDB=180\°[/tex]

[tex]m<EDB=180\°-(64\°+90\°)=26\°[/tex]

Answer:

B.[tex]26^{\circ}[/tex]

Step-by-step explanation:

We are given that a triangle ABD, BE is perpendicular to AD and angle EBD is congruent to angle CBD.

[tex]\angleABE=52^{\circ}[/tex]

We have to find the measure of angle EDB.

Let [tex]\angle EBD=x[/tex]

Then, [tex]\angle CBD=x[/tex] because angle EBD is congruent to angle CBD.

[tex]\angle ABE+\angle EBD+\angle CBD=180^{\circ}[/tex] (linear sum)

[tex]52+x+x=180[/tex]

[tex]2x=180-52=128[/tex]

[tex]x=\frac{128}{2}=64^{\circ}[/tex]

In triangle EBD

[tex]\angle BED=90^{\circ}[/tex]

[tex]\angle EBD=64^{\circ][/tex]

[tex]\angle EBD+\angle BED+\angle EDB=180^{\circ}[/tex] (sum of angles of triangle )

Substitute the values then we get

[tex]64+90+\angle EDB=180[/tex]

[tex]154+\angle EDB=180[/tex]

[tex]\angle EDB=180-154=26^{\circ}[/tex]

Hence, [tex]m\angle EDB=26^{\circ}[/tex]

Answer:

400 thousand or 400,000

Step-by-step explanation:

just round 389 to the nearest hundred ------ 400

Answer:400,000

Step-by-step explanation:

389,935

the hundred thousand place is the 8 it is greater than 5 so you round up to 400,000

the correct answer is D

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = 6, thus

y = 6x + c ← is the partial equation

To find c substitute (1, 1) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 6x - 5 → D

Answer: What's the question?

Step-by-step explanation:

Answer: 12 blue marbles

Step-by-step explanation: Set up a proportion.

4/5 = x/15

Solve for x, the number of blue marbles. Cross multiply. You will get 60 = 5x

Divide by 5 on each side.

x = 12

There are 12 blue marbles.

net 2 is the anwser to the solid figure

The answer is Net 2. I think so.

Answer:

6

Step-by-step explanation:

To solve this, divide 9 by 1 1/2.

To make this easier to divide, convert 1 1/2 into an improper fraction.

1 1/2 = 3/2

Dividing 9 by 3/2 is the same as multiplying 9 by 2/3

Multiply the numerators and denominators

[9 is the same as 9/1]

9 x 2 = 18

1 x 3 = 3

18/3 = 6

So, Emma can paint 6 rooms.

I hope this helps!

Answer:

I believe the answer would be six rooms

Step-by-step explanation: This may seem a little difficult, but really it is quite simple. All you have to do is divide the amount of paint she has (9) by how much it takes to paint one room (1 1/2). The equation would be,            (9 / 1 1/2) which equals 6. I hope this helps.

the correct answer is d

Answer:

D

Step-by-step explanation:

all rational numbers where m ≥ 0

The number of hours it takes to hike through the jungle can be calculated from any fraction of a mile or miles.

Answer:

19958400

10

8

1814400

Step-by-step explanation:

* Lets explain how to solve the problem

- Permutation is the act of arranging the members into order

- The number of permutations of n members taken r at a time is

  denoted by nPr

- nPr = n!/(n - r)! , where n! means n(n - 1)(n - 2)(n - 3) ......... × 1

* Lets solve the problem

- There are eleven people on a softball team

∴ n = 11

- There are nine different positions

∴ r = 9

∴ The number of ways can be made = 11P9

∵ 11P9 = 11!/(11 - 9)! = 11!/2! = 19958400

* The number of total arrangements of the player is 19958400

- If Amy does not want to play pitcher

∵ They are 11 players

∴ The number of players can be pitch = 11 - 1 = 10

* If Amy does not want to play pitcher, then there are now 10 people

 available to pitch

- Assuming the pitcher has already be chosen

∴ There are 10 remaining players

∵ The positions are 9

∴ The remaining positions = 9 - 1 = 8

* There are 8 remaining positions

- Lets find how many ways to arrange the remaining positions

∵ n = 10

∵ r = 8

∴ 10P8 = 10!/(10 - 8)! = 10!/2! = 1814400

* The number of ways to arrange the remaining players is 1814400

Answer:

19958400

10

8

Step-by-step explanation:

The answer is:

The ball will hit the ground in 7.69 seconds.

To solve this problem, we need to apply the following projectile motion equation:

[tex]y=vo*sin(\alpha)*t-\frac{1}{2}gt^{2}[/tex]

To calculate when the ball wil hit the ground, in other words the time of flight, we need to make "y" equal to 0, and considerate the initial height, so, we have:

[tex]0=initialheight+vo*sin(\alpha)*t-\frac{1}{2}gt^{2}[/tex]

Then, we are given the following information:

[tex]InitialHeight=4.5feet\\\alpha =54\°\\vo=\frac{152ft}{s}[/tex]

Now, substituting and solving, we have:

[tex]-(\frac{1}{2})*\frac{32.15ft}{s^{2}}*t^{2}+\frac{152ft}{s}*sin(54\°)+4.5ft\\\\-16.07\frac{ft}{s^{2} }*t^{2}+122.97\frac{ft}{s}*t +4.5ft=0[/tex]

We have a quadratic equation, where:

[tex]a=-16.07\\b=122.97\\c=4.5[/tex]

Now, using the quadratic equation to find the values of "t" , we have:

[tex]\frac{-b+-\sqrt{b^{2}-4ac} }{2a}[/tex]

Substituting we have:

[tex]\frac{-122.97+-\sqrt{(122.97)^{2}-4*(-16.0)*(4.5)} }{2*(-16.07)}\\\\\frac{-122.97+-\sqrt{(122.97)^{2}-4*(-16.07)*(4.5)} }{2*(-16.07)}=\frac{-122.97+-\sqrt{15121.62+289.26}}{-32.14}\\\\\frac{-122.97+-\sqrt{15121.62+289.26}}{-32.14}=\frac{-122.97+-(124.14)}{-32.14}[/tex]

[tex]t_1=\frac{-122.97+124.14}{-32.14}=-0.04\\\\t_2=\frac{-122.97-124.14}{-32.14}=7.69[/tex]

Therefore, since the time cannot be negative, we have to discard "t1", so, the answer is: 7.69 seconds

Hence, the ball will hit the ground in 7.69 seconds.

Have a nice day!

Answer:

7.72 s

Step-by-step explanation:

I got the question wrong when I put 7.69 and saw that this was the correct answer.

Answer:

The equation of the axis of symmetry is x = 3

Step-by-step explanation:

Perform the indicated mult., obtaining:

y = 3(x² - 6x + 9) + 4.

Mult. each term inside parentheses by 3, we get:

y = 3x² - 18x + 27 + 4, or

y + 3x² - 18x + 31

Here the coefficients are a = 3, b = -18 and c = 31.

The axis of symmetry is x = -b / (2a), which here is:

      -(-18)

x = ----------- = 18/6 = 3

       2(3)

The equation of the axis of symmetry is x = 3

ANSWER

x=3

EXPLANATION

The given function is

[tex]y= -3(x-3)^2+4[/tex]

This function is of the form.

[tex]y= a(x-h)^2+k[/tex]

This is called the vertex form.

The axis of symmetry is given by

[tex]x = h[/tex]

By comparing to

[tex]y= -3(x-3)^2+4[/tex]

a=-3, h=3 and k=4

Hence the axis of symmetry is x=3

The change in distance is 50 meters

Using the parameters given :

To calculate the change in distance:

Change in distance = (400 - 350) = 50

Hence, the change in distance is 50 meters

Complete Question:

400 meters to 350 meters . Calculate the change in distance.

Answer:

1.  coordinate plane

2. ordered pair

3. quadrant

4. origin

5. X-axis

6. Y-axis

7. coordinates

8. X-intercept

9. Y-intercept

Step-by-step explanation:

Answer:

1.Coordinate Plane

2.Ordered pair

3.Quadrant

4.Origin

5.X-axis

6.Y-axis

7.Coordinates

8.X-intercept

9.Y-intercept

Step-by-step explanation:

1.Coordinate Plane is a plane with two axes as a frame of reference. The x-axis is a horizontal line and the y-axis is perpendicular to it (i.e., the y-axis is vertical). The intersection of the two axes is called the origin.

2.Ordered pair is a way of expressing a relationship between x and y in set notation.

3.Quadrant is one of four sections formed by the intersection of the x-axis and y-axis on a Cartesian coordinate plane.

4.Origin is the point where the x-axis crosses the y-axis. The coordinate location is the ordered pair (0,0).

5.X-axis  is the horizontal axis in a coordinate graph.

6.Y-axis is the vertical axis in a coordinate graph

7.Coordinates is the pair of numbers giving the location of a point.

8.X-intercept is a point at which a graph intersects the x-axis.

9.Y-intercept is a point at which a graph intersects the y-axis.

Answer:

(b) ABC =  FED

Step-by-step explanation:

The rigid motion concept implies that you move your points relative to another. That also means the naming of the objects (in this case triangles) has to be consistent.

By naming the first triangle ABC, you start by the lower-right corner of the triangle, go up then finish on the left-most point.

So, to name the other triangle in rigid-motion manner, you have to follow the same sequence... so it is F first, then E then D... so FED.

To find the average add all the scores together, then divide that by the number of quizzes.

77 + 71 + 82 + 79 + 76 + 78 + 85 + 83 = 631

8 quizzes

Average = 631 / 8 = 78.875  = 79

Answer:

78.875

Step-by-step explanation:

the average = sum of the scores/ number of scores

average = (77 + 71+ 82+79+ 76+78+85+83)/8

average = 631/8 = 78.875

Answer:

Entonces Patricia necesitara 4 estampas de $3 dolares y 6 estampas de $1 dolar

Step-by-step explanation:

Cuatro estampas de tres dolares cada una es:

3 × 4 = 12

Ahora necesitamos encontrar  cuantas estampas mas Patricia puede comprar. Podemos hacer esto restando 12 a 18, que es el costo total de las estampas menos del valor encontrado

18 - 12 = 6

Ahora sabemos que Patricia necesita 6 dolares de estampas ($1 estampas) para acompletar las 10 estampas  dando un total de $18 dolares.

6 × 1 = 6 < sumar 6 de 12

12 + 6 = 18

Entonces Patricia necesitara 4 estampas de $3 dolares y 6 estampas de $1 dolar

To solve this problem using a system of equations, we can let x represent the number of stamps that Patricia bought for $3.00 and y represent the number of stamps she bought for $1.00.

To solve this problem using a system of equations, we can let x represent the number of stamps that Patricia bought for $3.00 and y represent the number of stamps she bought for $1.00. The problem tells us that Patricia bought a total of 10 stamps and paid a total of $18.00. Therefore, we can set up the following system of equations:

x + y = 10

3x + y = 18

To solve this system, we can use the substitution or elimination method. Let's use the substitution method. From the first equation, we can solve for x in terms of y: x = 10 - y. Now we can substitute this expression for x in the second equation:

3(10 - y) + y = 18

30 - 3y + y = 18

30 - 2y = 18

-2y = -12

y = 6

Substituting this value of y back into the first equation, we can find the value of x:

x + 6 = 10

x = 4

So Patricia bought 4 stamps for $3.00 each and 6 stamps for $1.00 each.

Solve by using Pythagoras triangle concept

x^2 + 15^2 = (9+x)^2

x^2 + 225 = 81 + 18x + x^2

x^2 - x^2 + 225 - 81 = 18x

144 = 18x

144/18 = x

x = 8

Answer:

x = 8

Step-by-step explanation:

Since the triangle is right use Pythagoras' theorem

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(x + 9)² = x² + 15² ← expand factor on left side

x² + 18x + 81 = x² + 225 ( subtract x² from both sides )

18x + 81 = 225 ( subtract 81 from both sides )

18x = 144 ( divide both sides by 18 )

x = 8