What is the equation of a line with a x-intercept of −2 and a y-intercept of 10?

Answer:

L'option B est correcte. Le chiffre 0 représente l'année de naissance de Gabriel.

Option B is correct.

The number 0 represents the year when Gabriel was born.

Step-by-step explanation:

Il a été déclaré dans la question que Gabriel a enregistré des événements tge dans leur vie par rapport à quand il est entré en scène. Avec des exemples notables donnés pour illustrer que les nombres négatifs indiquent les temps avant la naissance de Gabriel et les nombres positifs indiquent les années après la naissance de Gabriel.

Par conséquent, il est simple de voir que l'année 0 en termes relatifs à la naissance de Gabriel représentera l'année de naissance de Gabriel.

J'espère que cela t'aides!!!

English Translation

Gabriel notes on a timeline important family events. It uses positive or negative integers. To write a date before his birth, he uses negative numbers and for a date after his birth, positive numbers. For example, Gabriel's mother received a medal in the year -20 and Gabriel's sister was born in the year + 5. What does the year 0 represent? Answer:

A) The year when Gabriel's sister was born

B) The year when Gabriel was born

C) The year when Gabriel's mother received a medal

Solution

It was stated in the question that Gabriel recorded tge events in their lives relative to when he came into the picture. With noticeable examples given to illustrate that the negative numbers indicate times before Gabriel's birth and positive numbers indicate years after Gabriel's birth.

Hence, it is straighforward to see that the year 0 in relative terms to Gabriel's birth will represent the year in which Gabriel was born.

Hope this Helps!!!

Answer:

5 <x

Step-by-step explanation:

–2(3x + 2) > –8x + 6

Divide each side by -2, remembering to flip the inequality

–2/-2(3x + 2) < –8x/-2 + 6/-2

3x+2 < 4x-3

Subtract 3x from each side

3x-3x+2 < 4x-3x-3

2 < x-3

Add 3 to each side

2+3 < x-3+3

5 <x

Answer:

Step-by-step explanation:

-2( 3x + 2) > -8x + 6

-2*3x + (-2)*2 > -8x + 6

-6x  - 4 > -8x + 6

Add 4 to both sides

-6x - 4 + 4 > -8x + 6 + 4   { add like terms}

-6x > -8x + 10

Add 8x to both sides

-6x + 8x > - 8x + 10 + 8x

2x  > 10

Divide both sides by 2

2x/2 > 10/2

x > 5

Answer:

at 0  the amount is 5

1 is 7.5

2 is 10

3 is 12.5

the initial value is the y intercept when the value ox x=0

the initial value is 5

the rate of change is the total change of a function of the out put (y) divided by the change of the input (x)

f(x2)-f(x1)/x2-x1

10-7.5/2-1

2.5/1=2.5

or m=y2-y1/x2/x1=10-7.5/2-1=2.5

y=2.5x+5

Answer: (n + 5)(n - 5)

Explanation: In this problem, we have a binomial that's the difference of two squares because n² and 25 are both perfect squares and we are subtracting or taking the difference of these two squares.

Since the difference of two squares factors as the product of two binomials, we can setup our parenthses and in the first position, we use the factors of n² that are the same which are n · n.

In the second position, we use +5 and -5 as our factors of -25.

So our answer is (n + 5)(n - 5).

Answer:

[tex]\sqrt{15.76}[/tex]

Step-by-step explanation:

[tex]\sqrt{9.6230 \frac{2.340}{5.310}3.721 }[/tex]

Lets solve the fraction first

[tex]\frac{2.340}{5.310} =0.44[/tex]

9.6230 x 0.44 = 4.23

4.23 x 3.721 = 15.76

[tex]\sqrt{15.76}[/tex]

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\huge\textsf{Question \#1.}[/tex]

[tex]\mathbf{-8\div2 + 12 \times9 - 4\times6}\\\mathbf{= -4 + 12\times9 - 4\times6}\\\mathbf{= -4 + 108 - 4\times6}\\\mathbf{= 104 - 4\times6}\\\mathbf{= 104 - 24}\\\mathbf{= 80}[/tex]

[tex]\huge\textsf{Therefore, your answer is: \boxed{\mathsf{80}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Question \#2.}[/tex]

[tex]\mathbf{56 + 7\times2}\\\mathbf{= 56 + 14}\\\mathbf{= 70}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{70}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

Answer:

Easiest and fastest way to do this is to input both equations into a graphing calc and tracing to where the 2 graphs intersect.

Alternatively, you can use substitution to solve for your answer.

Step-by-step explanation:

Answer:

Greater hours worked, fewer hours spent cycling.

Step-by-step explanation:

Answer:

Greater hours worked, fewer hours spent cycling.

Step-by-step explanation:

:)

Answer:

second one

Step-by-step explanation:

it is the second one , it has three expression starts with 5

when n=0 :2n+5=2(0)+5=5

n=1 : 2n+5=7

n=2: 2n+5=4+5=9

n=3: 2n+5=11

Answer: B

Step-by-step explanation:

Answer:

B. SAS

Step-by-step explanation:

the line that joins the 2 triangles is considered a side, if you put an angle in between 2 sides its SAS.

Answer:

34.98 square units.

Step-by-step explanation:

It is given that DEF is a triangle, EF=10, DF=7 and DE=12.

Information of sides of triangle is relevant to calculating area.

We should use Heron's formula.

According to Heron's formula, the area of triangle is

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where,  

[tex]s=\dfrac{a+b+c}{2}[/tex]

For triangle DEF, let a=10, b=7 and c=12.

Now,

[tex]s=\dfrac{10+7+12}{2}=\dfrac{29}{2}=14.5[/tex]

Area of triangle is

[tex]A=\sqrt{14.5(14.5-10)(14.5-7)(14.5-12)}[/tex]

[tex]A=\sqrt{14.5(4.5)(7.5)(2.5)}[/tex]

[tex]A=\sqrt{1223.4375}[/tex]

[tex]A=34.977671[/tex]

[tex]A\approx 34.98[/tex]

Therefore, the area of triangle DEF is 34.98 square units.

Answer:

SSS, Heron's formula, and 34.98 square units

Step-by-step explanation:

Answer:

  85.9 m

Step-by-step explanation:

The law of sines can help figure this.

The remaining angle in the triangle is ...

  180° -75° -68° = 37°

This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...

  b/sin(B) = c/sin(C)

  b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters

The surveyor is about 85.9 meters from the second marker.

Answer:

The first one.

Step-by-step explanation:

A linear function is a straight line, regardless of direction.

The first graph is of a linear function.

The phrase linear function denotes to function which is linear, specifically of this form:

[tex]f(x) = mx + c[/tex]

This is also written as:

[tex]y = mx + c[/tex]

It is written so that we can take the outputs of the function f(x) in a separate variable for further mathematical treatments with ease.

Now when that second equation is plotted on XY plane, you get a straight line graph since this is the equation form of any straight line, in geometry.

All the straight lines are covered under y = mx + c linear function form.

Since the first graph contains a plot of straight line, thus the first graph is of linear function.

The second graph is of downwardly opened vertical parabola which is of degree 2, thus not linear.

Thus first graph is the graph of a linear function.

Learn more here:

https://brainly.com/question/959487

1 revolution = 360 degrees

360 degrees x 90 revolutions per minute = 32,400 degrees per minute.

1 minute = 60 seconds.

32,400 degrees per minute / 60 seconds = 540 degrees per second.

Answer:

(3,2)

Step-by-step explanation:

y = −2x + 8

y = x − 1

Substitute the second equation into the first equation  for y

y = -2x+8

x-1 = -2x+8

Add 2x to each side

x-1+2x = -2x+8+2x

3x -1 = 8

Add 1 to each side

3x-1+1 = 8+1

3x =9

Divide by 3

3x/3 = 9/3

x=3

Now find y

y = x-1

y =3-1

y=2

(3,2)

Answer:

Step-by-step explanation:

answer is c

Answer:

The answer is B, the second one on your screen. I hope I wasn't too late! :)

Answer:

11. C=5

12. SQRT (43)

Step-by-step explanation:

11. 3^2+4^2=9+16=25

12. 8^2-4^2=64−16=48

Answer:

9, 11, 1, 0, 11

There's a patern

Answer:

Ans: 9,11,1,0,11. Do u need the workings

Answer:

9

Step-by-step explanation:

take the x and drop it down after that the - needs to become the postive with takes multiple and so then after tyat it needs to add the extra 1 bc if the 1

Answer:

3 1/2 =x

Step-by-step explanation:

(1/2) / 4 = x/28

Using cross products

1/2 * 28 = 4*x

14 = 4x

Divide each side by 4

14/4 = 4x/4

7/2 = x

3 1/2 =x

Answer:

[tex]\boxed{Option1}[/tex]

Step-by-step explanation:

[tex]\frac{1/2}{4} = \frac{x}{28}[/tex]

Cross Multiplying

=> 1/2 * 28 = 4x

=> 14 = 4x

=> 4x = 14

Dividing both sides by 4

=> x = 14/4

=> x = 7/2

=> x = [tex]3\frac{1}{2}[/tex]

Answer:

A-does not exist  

Step-by-step explanation:

The pythagorian theorem :

That's absurd . A side cannot be negative since it's a distance

It was obvious from the beginning since one of the sides is greater than the hypotenus wich is impossible x≥x-2

Answer:

A. does not exist

Step-by-step explanation:

Since this is a right triangle we can find the value of x using Phytagorian Theorem

(x-2)^2 = 12^2 + x^2

x^2 -4x + 4 = 144 + x^2 (x^2 will be eliminated)

-4x = 144

x = -36 since the side lengths cannot be negative we select the option A which says it doesn't exist.

Answer:

x=34

y=17

Step-by-step explanation:

Let Paula's score be= x

Let Maria's score be=y

Given:

x=2y

x+y=51

Substitution:

2y+y=51

Formula:

2y+y=51

3y=51

y=17

x=2y

x=2(17)

x=34

Proof:

x+y=51

34+17=51

51=51

Hope this helps ;) ❤❤❤

Answer:

Width=8

Length=11

It's an 8m x11m rectangle.

Step-by-step explanation:

2L+2W= 38

2(w+3)+2w=38

2W+6+2w=38

4W=32

W=8

L=W+3=8+3=11

CHECK: 8+8+11+11=38

Answer:

27.2

Step-by-step explanation:

The mean age of 8 women in the office is 20 years old

The mean age of 12 men in an office is 32 years old

The first step is to calculate the mean of the both the men and women in the office, that way we will be able to know the sum.

The mean of the women can be calculated by taking the sum of the value and dividing by the number

= 20+20+20+20+20+20+20+20/8

= 160/8

= 20

The mean of the men can be calculated by taking the sum of the values and dividing by the number

=32+32+32+32+32+32+32+32+32+32+32+32/12

= 384/12

= 32

Therefore, to find the mean age of people in the office we add the sum of both the men and women and divide by the total number of people in the office

= 384+160/20

= 544/20

= 27.2

Hence the mean age of people in the office is 27.2

Answer:

(4, 4 )

Step-by-step explanation:

Given the 2 equations

y = x² - 6x + 12 → (1)

y = 2x - 4 → (2)

Substitute y = x² - 6x + 12 into (2)

x² - 6x + 12 = 2x - 4 ( subtract 2x - 4 from both sides )

x² - 8x + 16 = 0 ← in standard form

(x - 4)² = 0 ← in factored form

x - 4 = 0 ⇒ x = 4

Substitute x = 4 into (2) for corresponding value of y

y = 2(4) - 4 = 8 - 4 = 4

Solution is (4, 4 )

Answer:

Well, Your answer is 12 units.

Because, It was on edgunity

Good Luck with your homework!!~

Answer:

Hello There. The answer to this is The length of W'X' will be exactly given by, 12 unit. Explanation: The Rectangle WXYZ is dialated by a factor of 12/5 to form the rectangle W'X'Y'Z'. So, if the length of WX is 5 unit, the length of W'X' will be exactly given by, the lenght WX x Dialation factor. = (5 x 12/5) unit. = 12 unit

Hope It Helps! :) ♡

ItsNobody~

Answer:

D

Step-by-step explanation:

1/x+1

Answer:

x = 7 . y = 13/3

Step-by-step explanation:

Solve the following system:

{y = x/3 + 2

y = (4 x)/3 - 5

Express the system in standard form:

{-x/3 + y = 2

-(4 x)/3 + y = -5

Express the system in matrix form:

(-1/3 | 1

-4/3 | 1)(x

y) = (2

-5)

Write the system in augmented matrix form and use Gaussian elimination:

(-1/3 | 1 | 2

-4/3 | 1 | -5)

Swap row 1 with row 2:

(-4/3 | 1 | -5

-1/3 | 1 | 2)

Subtract 1/4 × (row 1) from row 2:

(-4/3 | 1 | -5

0 | 3/4 | 13/4)

Multiply row 1 by 3:

(-4 | 3 | -15

0 | 3/4 | 13/4)

Multiply row 2 by 4:

(-4 | 3 | -15

0 | 3 | 13)

Divide row 2 by 3:

(-4 | 3 | -15

0 | 1 | 13/3)

Subtract 3 × (row 2) from row 1:

(-4 | 0 | -28

0 | 1 | 13/3)

Divide row 1 by -4:

(1 | 0 | 7

0 | 1 | 13/3)

Collect results:

Answer:  {x = 7 . y = 13/3

Answer:

Please refer to the attached image for the graph of g(x).

Step-by-step explanation:

First of all, let us find the value of g(x).

Given that:

[tex]f(x) =2x-5[/tex] and

[tex]g(x) = f(x+1)[/tex]

To find: The graph of g(x) = ?

Solution:

[tex]f(x+1)[/tex] means we replace  'x' with 'x+1' and we get g(x).

Let us replace x with x+1 in f(x):

[tex]f(x+1) = 2(x+1)-5\\\Rightarrow f(x+1) = 2x+2-5\\\Rightarrow f(x+1) = 2x-3\\\therefore g(x) = 2x-3[/tex]

Now let [tex]y=g(x) =2x-3[/tex]

Let us put x = 0 and then y = 0 to find two points on coordinate axis to easily plot the graph of g(x).

Putting x = 0,

[tex]y=2\times0-3\\\Rightarrow y =-3[/tex]

So, one point is A(0,-3)

Now, let us put y = 0 and find out x.

[tex]0=2x-3\\\Rightarrow x=\dfrac{3}{2}[/tex]

So, second point is [tex]B(\frac{3}{2},0)[/tex].

Now, let us plot A and B then extend the line joining AB.

Please refer to the attached image for the graph of function:

g(x) = 2x - 3