Simplify the following expression: (5 points) 5x − 6y + 5z − x − 12y + 2z 6x − 18y + 7z 4x − 18y + 7z 4x − 6y + 7z 6x − 6y + 7z

Answer:

Please check the explanation.

Step-by-step explanation:

                                           6)

Given the line

[tex]y=-\frac{1}{3}x+3[/tex]

We know that the slope-intercept form of the line equation is

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

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

Thus, the slope of line = -1/3

We know that parallel lines have the same slope.

Hence, the slope of the parallel line is also m=-1/3

So, substituting m = -1/3 and (3, 1) in the slope-intercept form to find the y-intercept

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

[tex]1=\frac{-1}{3}\left(3\right)+b[/tex]

Switch sides

[tex]\frac{-1}{3}\left(3\right)+b=1[/tex]

[tex]-1+b=1[/tex]

[tex]b=2[/tex]

Thus, the equation line in slope-intercept form

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

[tex]y=-\frac{1}{3}x+2[/tex]

                                             8)

Given the line

[tex]y=\frac{1}{4}x+1[/tex]

We know that the slope-intercept form of the line equation is

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

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

so the slope of line = 1/4

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: -4

Thus, subtituting m = -4 and (-1, 4) in the point-slope form

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

[tex]y-4=-4\left(x-\left(-1\right)\right)[/tex]

writing the point-slope form in the slope-intercept form

[tex]y-4=-4\left(x+1\right)[/tex]

add 4 to both sides

[tex]y-4+4=-4\left(x+1\right)+4[/tex]

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

Answer:

(See the attachment)

Step-by-step explanation:

None

Answer: 48 feet

In order to get the answer you have to plug 12 into the equation you made in part a.

Firstly, let's check your answer to part A.

We know that there is no y-intercept because the line crosses the origin (0,0).

Let's use the slope formula to find the slope:

[tex]\frac{y2 - y1}{x2 - x1} = \frac{20 - 0}{5-0} = \frac{20}{5} = 4[/tex]

So, the slope is actually 4x.

Now, we go on to answer part b.

y = 4x

Plug in the 12

y = 4(12)

y = 48

Therefore Kelvin will have walked 48 feet after 12 seconds.

I hope this helps!!

- Kay :)

Answer:

The value of function at X=4 is f(4) = 6.

Step-by-step explanation:

Given that:

Function is f(x) = x²-3x+2

A function defines the relationship between an independent variable and a dependent variable.

We have to find the value of function f(4), therefore, we will put x=4 in the given function

f(4) = (4)²-3(4)+2

f(4) = 16-12+2

f(4) = 6

Hence,

The value of function at X=4 is f(4) = 6.

Solution,

y = -x-4......(i)

3x + y =- 16.......(ii)

Now,

Substituting the value of y in equation (ii)

or, 3x + (-x-4)= -16

or,3x - x - 4 = -16

or, 2x= -16 +4

or, x = -12/2

: x = -6

Then,

Substituting the value of x in (i) equation;

or,y= -(-6) - 4

or,y= 6 - 4

: y =2

Answer:

-6

Step-by-step explanation:

4−(3+2)2

Add 3 and 2 to get 5.

4−5×2

Multiply 5 and 2 to get 10.

4−10

Subtract 10 from 4 to get −6.

−6

Answer:

Step-by-step explanation:

a). By applying tangent rule in the triangle,

   tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{3}{4}[/tex]

   θ = [tex]\text{tan}^{-1}(\frac{3}{4})[/tex]

   θ = 36.87°

   Therefore, θ < 45°

b). By using cosine rule in this triangle,

   cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{18}{18\sqrt{2}}[/tex]

   cosθ = [tex]\frac{1}{\sqrt{2}}[/tex]

    θ = 45°

c). By using tangent rule,

  tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{8}{2}[/tex]

  θ = [tex]\text{tan}^{-1}(4)[/tex]

  θ = 75.96°

  θ > 45°

Answer:

nothing

Step-by-step explanation:

there was no mistake at all he did it all correct he subtract 11 from both sides the divided by 2 correctly.

The equivalent expression to (10 + 7r - r) + ( - 6r² - 18 + 5r) is

- 6r² + 11r - 8.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A quadratic expression (10 + 7r - r) + ( - 6r² - 18 + 5r).

First, we'll combine the like terms.

= - 6r² + 7r - r + 5r + 10 - 18.

Now, Writing the expression in descending power of 'r' we get,

= - 6r² + 11r - 8.

Q. Which expression is equivalent to (10 + 7r - r) + (-6r² -18 + 5r)?

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Answer:

48

Step-by-step explanation:

If there were 126 students total, and 21 dots. That means that there are 6 students per dot. And since there are 8 dots in the 18 minute mark, that means that there were 48 predicted students.

Answer:

Step-by-step explanation:

150-20/2

Answer:

x = 53

y = 30

Step-by-step explanation:

Step(I):-

Given equations are

x -2y =-7 ...(I)

5x-9y =-5 ..(ii)

The matrix form  AX = B

                    [tex]\left[\begin{array}{ccc}1&-2\\ 5 & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right][/tex]

The determinant

[tex]= \left|\begin{array}{ccc}1&-2\\5&-9\\\end{array}\right| = -9+10 =1[/tex]

By using Cramer's Rule

Δ₁ =      [tex]\left[\begin{array}{ccc}-7&-2\\\\-5&-9\end{array}\right][/tex]



The determinant is     Δ₁ = -9 X -7 - (10 ) = 53

x = Δ₁ / Δ

x = 53

The determinant

Δ₂ =



Δ₂ = -5 +35

     

y = Δ₂/Δ =  30

 x - 2y = -7

5x - 9y = -5​

[tex]D=\left|\, 1\quad-2\atop5\quad-9\right|=1\cdot(-9)-(-2)\cdot5=-9+10=1\\\\\\x=\dfrac{\left|-7\quad-2\atop-5\quad-9\right|}1=-7(-9)-(-2)(-5)=63-10=53\\\\\\y=\dfrac{\left|\, 1\quad-7\atop5\quad-5\right|}1=1\cdot(-5)-(-7)\cdot5=-5+35=30[/tex]

Answer:

He ended up with about 1 pound less grapes.

Step-by-step explanation:

Answer:

D: 12 3/5

Step-by-step explanation:

i did the assignment

Answer:

[tex](\frac{-1}{2},-1)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-6, 5)

Point (5,  -7)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Answer:

Please show the graph, and i will be able to answer it for you.

Step-by-step explanation:

Answer:

0.29

Step-by-step explanation:

12 divide by $3.48 is 0.29

Answer:

x=-4/5 and 2

Step-by-step explanation:

since it is absolute value, 5x-3 can = 7 or negative 7

5x-3=7

5x=10

x=2

or

5x-3=-7

5x=-4

x=-4/5

Answer:

x=1

Step-by-step explanation:

_3× +1=2(4×_5)

_3×+1=8×_10

-3×_8×=_10-1

11×=_11

=1

Answer:

i do no

Step-by-step explanation:

Answer:

1550/45

Step-by-step explanation:

Answer:

s

Step-by-step explanation:

s

Answer: $38.50

Step-by-step explanation: Find 70% of $55.

Answer:

38.5

Step-by-step explanation:

SO U FIND 10% WHICH IS =5.5

THEN U TIMES IS BY 3 AND ITS =16.5

THEN YOU MINUS 55 BY 16.5

AND THAT IS =38.5

Answer:

2,-1,-2,-1

Step-by-step explanation:

You just replace x with the given numbers