Find the midpoint of the line segment with the given endpoints. (-3.1, -2.8) and (-4.92, -3.3)

Answer:

Answer:

k=135

Step-by-step explanation:

180=45+k

-45 -45

_________

135=k

Answer:

Step-by-step explanation:

f(x)=x² - 2x + 7

To find f(-3) substitute the value of x that's - 3 into f(x). That is for every x in f (x) replace it with - 3

We have

f(-3) = (-3)² - 2(-3) + 7

= 9 + 6 + 7

We have the final answer as

f(-3) = 22

Hope this helps you

Answer:

7

Step-by-step explanation:

The standard form is y=mx + b where your m value is the slope and your b value is the y-intercept.

So in your case, 7 is your m value therefore 7 being your slope

Hii!

__________________________________________________________

Answer:

Slope is 7! ^^

Step-by-step explanation:

Note that the equation of the line is given to us in slope intercept, y=mx+c.

m=slope | c=y intercept.

The slope intercept formula is

y=mx+c.

The equation this question provided us is.

y=7x-5

Slope=7

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Hope that this helped! Best wishes.

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Step-by-step explanation:

X- (-12)=25

X+12=25

X=25-12

X=13

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Answer:

-7, -27

Step-by-step explanation:

J is at -17. K is 10 units from J.

Start at point J, -17:

a) If you go 10 units to the right, you end up at -17 + 10 = -7

b) If you go 10 units to the left, you end up at -17 - 10 = -27

J can be at -7 or at -27

Answer: -7, -27

Answer:

36

Step-by-step explanation:

To find the with divide 102 by 17, we get 6. Then add 6+6+17+17 because we know this is a rectangle and it has 2 with sides and 2 length sides. We get the answer of 36.

Answer:

y=-3x+5

Step-by-step explanation:

In the form of y=mx+b

The value of temperature in Kelvin K which has the value 240 degree in Fahrenheit F is 275 K.

The formula to convert a temperature from Kelvin K to Fahrenheit F is,

[tex]F=95(K-273.15)+32[/tex]

Here, K is Kelvin and F is Fahrenheit.

Solve the formula for K in the following way,

[tex]F=95(K-273.15)+32[/tex]

Subtract 32 both side,

[tex]F-32=95(K-273.15)+32-32\\F-32=95(K-273.15)[/tex]

Divide, with 95, both side of equation,

[tex]\dfrac{F-32}{95}=(K-273.15)\\\dfrac{F-32}{95}=K-273.15\\\dfrac{F-32}{95}+273.15=K[/tex]

This is the solved equation for K.

To convert 240∘ F to Kelvin K, put the value in the formula given in above equation,

[tex]\dfrac{F-32}{95}+273.15=K\\\dfrac{240-32}{95}+273.15=K\\\dfrac{208}{95}+273.15=K\\2.12+273.15=K\\275.27=K\\K\approx 275[/tex]

Thus, the value of temperature in Kelvin K which has the value 240 degree in Fahrenheit F is 275 K.

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Answer:

240°  ≈  388.71K

Step-by-step explanation:

240°  ≈  388.71 K

Answer:

AB=9.49

Step-by-step explanation:

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Answer:

p = 3

Step-by-step explanation:

9x² - 16 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Thus

9x² - 16

= (3x)² - 4²

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

Compare with (px + t)(px - t)

then p = 3

Answer:

b

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

For this problem, we simply will isolate the x to find the value of x:

6x + 14 = 7x + 8

6x + -6x + 14 = 7x + -6x + 8

14 = x + 8

14 + -8 = x + 8 + -8

6 = x

Hence, x = 6.

Cheers.

Answer:

x=6

Step-by-step explanation:

First, subtract 6x from both sides to get:

14=x+8

Now, subtract 8 from both sides to get x alone:

6 = x

The value of x for the given equation is -3/2.

The given equation is 5 = -2(x-1).

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Here, 5 = -2(x-1) can be written as 5=-2x + 2.

Now, 5-2=-2x

⇒ 3=-2x

⇒ x=-3/2

Therefore, the value of x for the given equation is -3/2.

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Answer:

5 units

Step-by-step explanation:

Please see attached pictures for the full solution.

(This distance is the perpendicular distance between the 2 parallel lines, which is the shortest distance between them.)

Answer:

D 21/5

Step-by-step explanation:

edge

Answer:

12

Step-by-step explanation:

3x - 12 = 24

Add 12 to both sides to make 3x the subject of the equation.

3x - 12 (+12) = 24 (+12)

3x - 0 = 36

3x = 36

Divide both sides by 3.

3x/3 = 36/3

x = 12

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The required solution to the given equation 3x -12 = 24 is x = 12.

Algebraic equations are mathematical statements with a minimum of two terms containing variables or numbers that are equal.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The given equation is given in the question

⇒ 3x - 12 = 24

Add 12 to both sides of the above equation

⇒ 3x - 12 (+12) = 24 (+12)

⇒ 3x - 0 = 36

Apply the subtraction operation,

⇒ 3x = 36

Divide both sides by 3.

⇒ 3x/3 = 36/3

⇒ x = 12

Therefore, the required solution to the given equation 3x -12 = 24 is x = 12.

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Answer:

49

Step-by-step explanation:

First, multiply 5 on both sides:

2n = 50

Then, we divide 2 on both sides:

n = 25

Now we got the value of n, let's calculate 2n - 1.

First, multiply 2 by n so we can get 2n:

2 * 25 = 50

Then, we calculate 50 - 1:

We got 49, and that's the answer ^^

Hope this helps!

The value of 2n-1 is 49 if 2n/5=10, after applying the concept of a linear equation and the value of n is 25.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

2n/5 = 10

2n = 50

n = 25

Plug the value of n in the expression 2n - 1

= 2(25) - 1

= 49

Thus, the value of 2n-1 is 49.

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Answer:

It will last 8 days

Step-by-step explanation:

divide 5 1/3 by 2/3

Answer: b=-9

Step-by-step explanation:

To find the y-intercept of the line, we can use the points given to make an equation. To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{3-(-6)}{4-1} =\frac{9}{3} =3[/tex]

Now that we know the slope, we can fill in what we know and solve for y-intercept.

y=3x+b

We can plug in any point to solve for y-intercept.

3=3(4)+b                [multiply]

3=12+b                   [subtract both sides by 12]

b=-9

Now, we know that the y-intercept is b=-9.

Answer:

  no

Step-by-step explanation:

Whenever a linear equation is something other than

  y = kx

the relation is not proportional.

__

Here, you have ...

  y = (9/5)x +32

The added constant ensures the relation is not proportional.

Answer:

4.30m/hr

Step-by-step explanation:

2 feet/8.5 mins is 0.235294118 feet per minute, which is 4.3030553875397 metres per hour, which to 2 s.f. is 4.30

In meters per hour the speed is 470 meters per hour.

We have an object moving at a speed of 2 feet every 8.5 minutes.

We have to express this speed in meters per hour.

1 feet = 3.29 meters

1 hour = 60 minutes → 1 minute = [tex]\frac{1}{60}[/tex] hour = 0.017 hr

According to question - We have :

Speed = 2 feet in 8.5 minutes

We know -

1 feet = 3.29 meters

2 feet = 2 x 3.29 = 6.58 meters

and

1 minute = 0.017 hr

8.5 minutes = 8.5 x 0.017 = 0.14 hr

Now -

In 0.014 hr, distance covered = 6.58 meters

In 1 hr, distance covered will be - [tex]\frac{6.58}{0.014}[/tex] = 470 meters/hour

Hence, in meters per hour the speed is 470 meters per hour.

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Answer:

24.5

Step-by-step explanation:

n0.5=12.25

n/0.5=12.25/0.5

n=24.5

Answer:

Yes, 1/2 is a irrational number

Step-by-step explanation:

This is the answer because (Google research):

A number is rational if we can write it as a fraction where the numerator and denominator are both integers. However, numbers like 1/2, 46485928/2628242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

Hope this helps!

Answer:

The answer to your question is 8.666666666666.

The total numerical length of the segment JL is 6 units.

Given that,
Point K is online segment JL.
JK = 5x + 7,
JL = 2x + 8, and KL= 4
To determine the numerical length of JL.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
For point K on the line segment JL,
JL = JK + KL
from given,
2x + 8 = 5x + 7 + 4
5x -2x = 8 - 11
3x = -3
x = -1

Now,
JL = 2x + 8
JL = 2 * -1 + 8
JL = 6

Thus, the total numerical length of the segment JL is 6 units.

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which number is irrational? 25.23 is irrational because 8 is a rational number.

Answer:

None

Step-by-step explanation:

First let's define the meaning of irrational.

It means "no ratio", which is a number that goes on forever without repeating (e.g. pi and the square root of 2)

25.23 is rational and 8 is also rational.

Answer:

answer 11/12

hope this helped you

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[tex]\text{Hi there! :D}[/tex]

[tex]\boxed{\text{There is a horizontal shift of 1 unit left and 5 units down.}}[/tex]

[tex]\text{Recall that the transformations form of a quadratic function is:}\\\\y = \pm a(b(x-h))+k \text{ where:}\\\\a = \text{ vertical stretch/compression}\\\\b = \text{ horizontal stretch/compression}\\\\h = \text{ shift left/right}\\\\k = \text{ shift up/down}\\\\\text{Therefore, in this instance:}\\\\h = -1\\\\k = -5, \text{ so:}\\\\\text{There is a horizontal shift of 1 unit left and 5 units down.}[/tex]

Answer:

2.5

Step-by-step explanation:

4x+1=11

4x=11-1

4x=10

x=10/4

=2.5

Answer:

5/8

Step-by-step explanation:

You need to convert to a simplified fraction by placing the numbers to the right of the decimal over 1000. Then reduce the fraction.