7.5 L = ? kL
What Is kL I Really Need To Know??

Answer:

Please check the explanation.

Step-by-step explanation:

Given the points

When we plot P1(3, 2) and P2(6, 8), we determine the line segment P1P2.

The direction of the segment is from P1 to P2.

Determining the length of the segment P1P2.

[tex]\:l=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

  [tex]=\sqrt{\left(6-3\right)^2+\left(8-2\right)^2}[/tex]

  [tex]=\sqrt{3^2+6^2}[/tex]

  [tex]=\sqrt{45}[/tex]

  [tex]=\sqrt{5}\sqrt{3^2}[/tex]

  [tex]=3\sqrt{5}[/tex]

Thus, the length of the segment is:

[tex]\:\:\:l=3\sqrt{5}[/tex]

Determining the equation of a line containing the segment P1P2

Given the points

Finding the slope between P1(3, 2) and P2(6, 8)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(3,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:8\right)[/tex]

[tex]m=\frac{8-2}{6-3}[/tex]

[tex]m=2[/tex]

Using the line point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 2 and the point (3, 2)

[tex]y-2=2\left(x-3\right)[/tex]

Add 2 to both sides

[tex]y-2+2=2\left(x-3\right)+2[/tex]

[tex]y=2x-4[/tex]

Thus, the equation of a line containing the line segment P1P2 is:

[tex]y=2x-4[/tex]

Answer:

[tex]t = \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]4(t + \frac{1}{4} ) = 3[/tex]

[tex] = > 4t + 1 = 3[/tex]

[tex] = > 4t = 3 - 1 = 2[/tex]

[tex] = > t = \frac{2}{4} = \frac{1}{2} [/tex]

Answer:

t = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

4(t + [tex]\frac{1}{4}[/tex] ) = 3 ← distribute parenthesis on left side

4t + 1 = 3 ( subtract 1 from both sides )

4t = 2 ( divide both sides by 4 )

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

Answer: 304.8

Step-by-step explanation;

7300:23.95 = 303.8

Answer:20

Because I looked it up

Hello

5 + ( -3) ( 6x - 5 )

= 5 - 3*6x + 5*3

= -18x + 20

Good day. ;)

Answer:

None of the above

Step-by-step explanation:

I got it correct.

Answer: 75%

Step-by-step explanation:

Answer:

x=[tex]\sqrt 26[/tex]/2-2

Step-by-step explanation:

Answer:

9 hours in total

Step-by-step explanation:

Answer:

9 hours

Step-by-step explanation:

Firstly the would add 1 1/2 and 2 1/2.

4

Then you would add 2

6

Lastly you would add 3

9

Therefore, your answer would be 9 hours.

Part A

(3x)^2*x^4

(3x)*(3x)*x^4 .... expand out (3x)^2

(3*3)*(x*x*x^4)

9x^6

Answer:  9x^6

============================================

Part B

It appears that Tonya forgot to square the 3 term and had this as her steps

(3x)^2*x^4

3x^2*x^4

3x^(2*4)

3x^8

Which is incorrect as the answer in part A indicates.

Not only is the '3' part wrong, but also the exponent of 8. Instead of multiplying the exponents, she should have added them.

The rule is a^b*a^c = a^(b+c). In this case, a = x, b = 2 and c = 4.

So x^2*x^4 = x^(2+4) = x^6

Answer:

Step-by-step explanation:

[tex]\sqrt{25^2 - 24^2 }[/tex] = [tex]\sqrt{(25-24)(25+24)}[/tex] = √49 = 7 units

Answer:

slope: -2/5

y-intercept: (0,4)

Step-by-step explanation:

Answer:

93salads

93×6.50=604.50

116×2=232

93+116=209

604.50+232=836.50

Answer:

16

Step-by-step explanation:

3 divided into 12 =4

4x4=16

4 divided into 16 =4 so 16

Answer:

angle one equals 114

Step-by-step explanation:

180-66=114

Answer:

114

Step-by-step explanation:

a straight line is 180 degrees and so you subtract 66 from 180 and you get 114

Answer:

the third option is correct

Step-by-step explanation:

[tex]x=1[/tex]

Answer:

y = 9

Step-by-step explanation:

y - 11 = 25 - 3y

y + 3y = 25 + 11

4y = 36

y = 9

Please mark me the brainliest!?!

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Make use of the quadratic formula.

For equation ax² +bx +c = 0, the solutions are ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Here, you have a=1, b=-1, c=1, so the solutions are ...

  [tex]x=\dfrac{-(-1)\pm\sqrt{(-1)^2-4(1)(1)}}{2(1)}=\dfrac{1\pm\sqrt{1-4}}{2}=\dfrac{1\pm i\sqrt{3}}{2}\\\\\boxed{x=\dfrac{1+i\sqrt{3}}{2}\text{ and }x=\dfrac{1-i\sqrt{3}}{2}}[/tex]

Answer:

C:12.65

Step-by-step explanation:

Use the distance formula:

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_1 - y_1)^2} [/tex]

x1 = 4, y1 = -2, x2 = 0, y2 = 10

[tex] d = \sqrt{(0 - 4)^2 + (10 - (-2))^2} [/tex]

[tex] d = \sqrt{(- 4)^2 + (12)^2} [/tex]

[tex] d = \sqrt{16 + 144} [/tex]

[tex] d = \sqrt{160} [/tex]

[tex] d = 12.65 [/tex]

Answer: C: 12.65

Answer:

Average rate of change is -7/3 and the initial value is 24

Step-by-step explanation:

The rate of change is simply the slope of the line connecting the points

mathematically, that would be;

m = y2-y1/x2-x1

m = (10-3)/(6-9) = -7/3

Let us get the complete equation;

The general equation form is;

y = mx + b

where m is slope and b is y-intercept

y = -7x/3 + b

To get b, we simply insert one of the points

Let us use (9,3)

We insert x = 9 and y = 3

So we have;

3 = -21 + b

b = 3 + 21

b = 24

So the complete equation is;

y = -7x/3 + 24

The initial value is when x = 0

If x = 0, y will be 24

Answer:

-1/2

Step-by-step explanation:

The equation for slope is y2 - y1 and x2 - x1. So you do 5(y2) - 4 (y1) which is 1. And 6(x2) - 8(x1) which is -2. Put 1 as the numerator and -2 as the denominator as you got -1/2. The fraction is negative because the -2 made it that way

Answer:

D: x=12

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Here, we want to know the x-coordinate of the rotation about the origin of a point 90 degrees clockwise

A rotation of 90 degrees clockwise about the origin will turn the coordinates (x,y) to (-y,x)

The coordinates of A is (3,-2)

So

upon the assigned rotation, it becomes (2,-3)

So the x-coordinates is 2

Answer:

C: 2

Step-by-step explanation:

Here, we want to know the x-coordinate of the rotation about the origin of a point 90 degrees clockwise

A rotation of 90 degrees clockwise about the origin will turn the coordinates (x,y) to (-y,x)

The coordinates of A is (3,-2)

So

upon the assigned rotation, it becomes (2,-3)

So the x-coordinates is 2

Answer:

15. 88%

Step-by-step explanation:

I did division

Answer:

16. is 11550

Step-by-step explanation:

Answer:

answers are done below.

Answer:

The system y=-3x + 4 and 3y = -9x+ 12 would contain infinitely many solutions.

Step-by-step explanation:

Any system of equations that have the same equations would have infinitely many solutions.

In other words, if the two linear equations have the same slope and y-intercept, then the system of solutions would contain infinitely many solutions. So, their graphs would have exactly the same line

Also If the equation ends with a true statement, for instance, 3 = 3, then the system has infinitely many solutions or all real numbers.

Given the system of equations

[tex]y=-3x + 4[/tex]

[tex]3y = -9x+ 12[/tex]

Writing both equations in the slope-intercept form

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

where m is the slope and b is the y-intercept

y=-3x + 4

Here,

m = -3

b = 4

3y = -9x+ 12

dividing both sides by 3

y = -3x + 4

Here,

m = -3

b = 4

As both equations have the same slope and y-intercept 'b'. Thus, the system of equations has infinitely many solutions.

Now checking:

[tex]\begin{bmatrix}y=-3x+4\\ 3y=-9x+12\end{bmatrix}[/tex]

substitute y = -3x+4

[tex]\begin{bmatrix}3\left(-3x+4\right)=-9x+12\end{bmatrix}[/tex]

for y = -3x+4

Expressing y in terms of x

[tex]y=-3x+4[/tex]

Thus, the solution would contain

[tex]y=-3x+4,\:x=x[/tex]

We know that If the equation ends with a true statement, for instance, x = x, then the system has infinitely many solutions or all real numbers.

Thus, the system y=-3x + 4 and 3y = -9x+ 12 would contain infinitely many solutions.

Answer:

yes!

Step-by-step explanation:

4y+7-3y=4y+3y-7

Answer:

no

Step-by-step explanation:

4y+7-3y

y=7

4y+3y-7

y=-1