find the slope of the line through the given points (1,1) (4,-1)

Answer:

x = 6

Step-by-step explanation:

110 and 19x - 4 are alternate exterior angles and are congruent, then

19x - 4 = 110 ( add 4 to both sides )

19x = 114 ( divide both sides by 19 )

x = 6

Answer:

6 mph

Step-by-step explanation:

The average rate of change of the speed of the train will be 6 miles per hour.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that a train decreased its speed by 72 miles per hour in 12 minutes.

As the train is reducing its speed by 72 miles per hour in 12 minutes the average rate of change of the speed will be calculated by dividing the change by the time.

Rate of change = 72 / 12

Rate of change = 6 miles per hour

Therefore, the average rate of change in the speed of the train will be 6 miles per hour.

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The total return will be $5611.8

A 2 year investment of $5,300 earns 2.9%

The investment is compounded annually

The total return can be calculated as follows

= 5300 (2.9/100 + 1)

= 5300 (0.029 + 1)

= 5300(1.029)²

= 5300(1.0588)

= $5611.8

Hence the total return is $5611.8

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Answer:

x-intercept = 2

Step-by-step explanation:

Sum = 3

Product = -10

Factors = 5 , (-2)      {5*(-2) = -10  & 5 +(-2) = 3)

Rewrite the middle term using the factors: 3x = 5x - 2x

x² + 3x - 10 = x² + 5x - 2x - 10

                  =x(x + 5) - 2(x + 5)

                  = (x +5)(x - 2)

x² + 8x +15 = x² + 3x + 5x + 15

                  = x(x + 3) + 5(x + 3)

                  = (x + 3)(x + 5)

[tex]f(x) =\dfrac{x^{2}+3x -10}{x^{2}+8x + 15}\\\\=\dfrac{(x+5)(x -2)}{(x+5)(x+3)}\\\\=\dfrac{x-2}{x+3)}[/tex]

At x-intercept, y = o

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

x - 2 = 0

x  = 2

Answer:

108.75

Step-by-step explanation:

He lost 36.25 pounds so 145 - 36.25 = 108.75

I am like 85% sure that this is the correct answer

Good luck on whatever you are doing.

Answer:

60x$70=$4100

Step-by-step explanation:

ekdjnsjs

Answer:

60 x 70= 4200$

Step-by-step explanation:

60

70   x

_____

(jk no need to do this just multiply them this way,because there are zeros just multiply 6 and 7 which equals 42 then add the zeros which are equal to= 4200$

Step-by-step explanation:

The line given:

Other lines to compare:

Slope=m=+4/3

#1

m=3/4

#2

m=-4/3

#3

m=-3/4

#4

m=4/3

Answer:

3(5x−11)

Step-by-step explanation:

32+15x−42

15x−33

=3(5x−11)

Answer:

440 man its so easy just add up all the numbers

Step-by-step explanation:

440

Answer:

1) See the explanation

2) 400 Students

3) 95 Students

Step-by-step explanation:

1) As can be known from the question

Then, draw the venn diagram according to the known conditions.

2) 60 + 75 - 20 = 115 { Draw a venn diagram to calculate }

115 + 285 = 400

3) 60 - 20 + 75 - 20 = 95 ( Draw a venn diagram to calculate }

Hello salvadorbea340!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] - (6y - 4) + (6y - 4) - ( - 2)[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]-(6y-4)+(6y-4)-(-2)[/tex]

Firstly, let's open the brackets of the 1st term, i.e. - (6y - 4).

[tex] -( 6y - 4) \\ = \underline{\underline{- 6y + 4}}[/tex]

Now, the 2nd term [ (6y - 4) ].

[tex] + ( 6y - 4) \\ = \underline{\underline{ + 6y - 4}}[/tex]

Now, the 3rd term ⇨ - (- 2)

[tex] -( - 2) \\ = \underline{\underline{ + 2}}[/tex]

Now, let's bring the equation together.

[tex]- (6y - 4) + (6y - 4) - ( - 2) \\ = - 6y + 4 + 6y - 4 + 2[/tex]

Now, let's solve the equation.

Firstly, bring the like terms together.

[tex]- 6y + 4 + 6y - 4 + 2 \\ = - 6y + 6y + 4 - 4 + 2[/tex]

Now cancel out -6y & +6y and 4 & -4 as they make 0.

[tex]- 6y + 6y + 4 - 4 + 2 \\ = \bcancel{- 6y }+ \bcancel{6y} + \bcancel{ \: \: 4 } \: \: - \bcancel{ \: 4 }+ 2 \\ = 0 + 2 \\ = 2[/tex]

And, the only number left is 2. So our answer is 2.

[tex] = \large\boxed{\boxed{ 2}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

Step-by-step explanation:

∠1 = ∠2 = 70    {Corresponding angles}

2x +2 y = ∠1

2x + 2y = 70 --------------(I)

2x + y = ∠2

2x +y =  70 --------------(II)

Subtract equation (II) from (I)

(I)    2x + 2y = 70

(II)   2x  + y =  70

     -       -      -     {subtract}

               y  = 0

Plugin y= 0  in equation(I)

2x + 0 = 70

2x = 70

x = 70/2

x = 35

x = 35 ;  y = 0

then is it.........!!!?

5x-12

A.  In the quadratic regression model, the explanatory variable is time and the response variable is the height.

The explanatory variable (or the independent variable) always belongs on the x-axis (represented as the first column of the table).

Regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.

The response variable (or the dependent variable) always belongs on the y-axis (represented as the second column of the table).

According to the explanation above the correct choice is A.

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Answer:

impossible?

Step-by-step explanation:

Answer:

I don't know ask your parents

Step-by-step explanation:

Answer:

0, 1, 2

Step-by-step explanation:

Hi there!

0

It is possible for a line and a circle to not intersect at all.

1

It is also possible for a line and a circle to meet at one point only. They would be tangent to each other and touch.

2

Finally, it is possible for a line to intersect the circle. They would appear overlapping. In any of these cases where a line intersects a circle, they would have crossed the circle at two points.

3

A line and a circle can only have a total number of 2 intersection points.

I hope this helps!

Answer:

The answer for the first one is D: Multiply x by 5 and 2 by 5.

The answer for the second one is: A: There are infinitely many solutions.

Step-by-step explanation:

I am doing Linear equations right now in school lol

Answer:

Step-by-step explanation: what is the question?

Answer:

 Slope = 0.667/2.000 = 0.333

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/-3 = 2/-1 = -2.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x-12*y-(24)=0

Step 1: Pulling out like terms

Pull out like factors :

  4x - 12y - 24  =   4 • (x - 3y - 6)  

Equation at the end of step 1:

Step 2:

Equations which are never true:

Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

Solve   x-3y-6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-3y-6  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/-1 so this line "cuts" the y axis at y=-2.00000

 y-intercept = 6/-3 = 2/-1  = -2.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000

 x-intercept = 6/1  =  6.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.000 and for x=2.000, the value of y is -1.333. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.333 - (-2.000) = 0.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.667/2.000 =  0.333  

Geometric figure: Straight Line

 Slope = 0.667/2.000 = 0.333

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/-3 = 2/-1 = -2.00000

Answer:

Slope of the perpendicular line

m2=-5/2

Step-by-step explanation:

Answer:

-4x-1

Step-by-step explanation:

-4x-1

Answer:

look at the photo..................

Answer:

There were 4 pieces

Step-by-step explanation:

Answer: y = 4x-8

Step-by-step explanation:

(4,-8)

(x,y)

Answer:

I think this is it 61.33

Have a blessed day <333

Step-by-step explanation:

Answer:

y = 2/3x + 14/3

Step-by-step explanation:

Slope 2/3

Point: (-1,4)

y-intercept= 4 - (2/3)(-1)

= 4 + 2/3

= 14/3

Answer:

h(2)=8

Step-by-step explanation:

The problem basically asks you to substitute 2 in, hence h(2).

Here is your base equation.

h(x)=-x^2+6x

Plug in 2.

h(2)=-2^2+6(2)

Simplify, using PEMDAS.

h(2)=-4+12

h(2)=8

There's your answer!

Hope this helped :)

Answer:

1/4

Step-by-step explanation: