Given: W (-4, 2) and Z (7, 5).
What is the slope of the line parallel to WZ?

Answer:

x = -7 2/3, y = 1 1/3 and z = 5 1/3.

Step-by-step explanation:

2x+4y+3z=6    .....  1

x-2y+z=-5        ...... 2

-x-3y-2z=-7      .......3

Add equations 2 and 3 to eliminate x:

-5y - z = -12   .....4

Multiply equation 2 by - 2:

-2x + 4y  - 2z = 10

Add this to equation 1:

8y + z = 16   ........ 5

Now add equation 4 to equation 5:

3y = 4

y = 4/3 = 1 1/3.

Now find z by substituting for y in equation 4:

-5(4/3) - z = -12

z = 12 - 20/3

z = 36/3 - 20/3 = 16/3 = 5 1/3.

Finally, we find x by substituting for y and z in equation 1:

2x + 4*4/3 + 3*16/3 = 6

2x = 6 - 16/3 - 16

2x =  18/3 - 16/3 - 48/3 = -46/3

x = 23/3 =  7 2/3.

Answer:

1.5/3=3/9

Step-by-step explanation:

1.5/3=1/2  when 3/9=1/3

I hope this helps :)

Answer:

1.5/3 = 3/9 is not a proportion

Step-by-step explanation:

1.5/3 = 3/9

1.5 divide by 3 is 1/2 but 3 divide by 9 is 1/3 which makes it  not proportional

Answer:

Step-by-step explanation:

An equation of a quadratic function in a vertex form is y=a(x-h)²+k, where vertex is (h, k)

vertex (4, -6) means  h = 4  and k = - 6

So:

     y = 1(x - 4)² + (-6)

    y = (x - 4)² - 6

Answer:

2(3x)+2(2x+22)+x+41=360°

Step-by-step explanation:

Sum of exterior angles of any polygon is 360°.

So if we add up all five exterior angles of the pentagon, we have

Answer:

8.6 × 10^5

Step-by-step explanation:

New Jersey 8th graders = 920,000

Rhode island 8th graders = 60,000

Difference in Rhode island 8th graders and New Jersey 8th graders population

= 920,000 - 60,000

= 860,000

Answer in scientific notation

860,000

The decimal point will move 5 places in

= 8.6 × 10^5

Answer:

parallel

Step-by-step explanation:

if you convert the second equation it will be y=-3x+2/3, meaning they have the same slope making them parallel

Answer:

not a function

Step-by-step explanation:

you can not have one-to-many

there is two 3 in the X column  

Answer:

B

Step-by-step explanation:

Its not (A) because the outcome is 24 x 18

Its not (C) because that would be (10)(9) which is the same as multiplication

Its not (D) because that would be (24)(18) which again is multiplication

We are looking for addition of 24 and 18 which is B

6 x 4= 24

6 x 3=18

24+18

Hope this helps (:

Answer:

9 degrees

Step-by-step explanation:

The temperatire was -3 and then rose by 12, -3 + 12 = 9

Answer:

The 11 foot boat ways 187 pounds

Step-by-step explanation:

102 / 6 = 17

17 * 11 = 187

Answer:

I used a math calculator by a math calculator service

Step-by-step explanation:

Answer:

2 times

Step-by-step explanation:

you do the equation 180 + 180 and get 360 or you can multiply 180 x 2 and get 360. Hope this helps you!

Answer:

a scalar between 0 and 1

Step-by-step explanation:

i just took the test on EdG. :)

To determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.

To answer the question, we need to know what scalars and vectors are

These are variables that have only magnitude.

These are variables that have both magnitude and direction.

Now since the first ramp is 50 feet long and has a 6° incline and the second ramp is 30 feet long and runs parallel to the first ramp. We see that the magnitude of the first ramp is greater than that of the second ramp.

So, to obtain a vector representing the second ramp from that of the first ramp, we multiply by a scalar which will be between 0 and 1, since, the magnitude of the first ramp vector is greater than the magnitude second ramp vector.

So, to determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.

Learn more about vectors here:

https://brainly.com/question/25705666

#SPJ2

Answer: Domain: {x : 0≤ x ≤50   }

Step-by-step explanation:

Given: The total amount of money Raul will make from selling X coupon books is represented by a function.

[tex]f(x)=20x[/tex]

Here, X= Number of coupon books .

Raul has 50 coupon books to sell.

So, 0≤ x ≤50  , as it is possible that non of that book will sell.

Hence, Domain: {x : 0≤ x ≤50   }

Answer:

Jody needs to lose the third round by 6 points to win the game.

Step-by-step explanation:

The rule of the game is the person who scores closest to zero points after three rounds win.

Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round.

So, total points for Robyn = 5-8+4=1

So, the magnitude of the closeness of Robyn's score from zero

=|1-0|=1

Jody scored 10 points in the first round and lost 4 points in the second round.

Let Jody score x point in the third round.

Total points for Jody= 10-4+x=6+x

So, the magnitude of the closeness of Jody's score from zero

=|6+x-0|=|6+x|

The condition for Jody to win the game is his points must be closer to zero than Robyn's points, i.e

|6+x|<1

Case 1: If  [tex]x\geq -6[/tex],

6+x<1

[tex]\Rightarrow x<-5[/tex], which is not possible for this case.

Case 2: If  [tex]x\leq -6[/tex],

-(6+x)<1

[tex]\Rightarrow x+6>1[/tex]

[tex]\Rightarrow x>-5[/tex]

For this case [tex]x= -6[/tex] is the only possibility.

So, Jody must score -6 in the third round to win the game. i.e Jody needs to lose the third round by 6 points.

Answer:

1) B - 5/4

2) A. The cost of delivery is $120

3) C 2

Step-by-step explanation:

1) The given parameters are;

The demarcations on the x-axis = -10 to 10

The demarcations on the y-axis = -10 to 10

The coordinates of two points on the graph are (0. 7), and (4, 2)

The slope, m, of a graph is given by the following equation;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Given that (x₁, y₁) = (0. 7) and (x₂, y₂) = (4, 2), we have;

[tex]Slope, \, m =\dfrac{2-7}{4-0} = -\dfrac{5}{4}[/tex]

The slope, m = -5/4

Taking B. as = -5/4

2. The given information are;

The nature of the cost of delivery of crushed stone = Cost of delivery, A

The function, f, for the cost of crushed stone of mass, x is the cost C, f(x) = C = m × x + A

Whereby the the graph of the total cost of the crushed stone is a straight line graph, we have;

C = m × x + A

At the y-intercept, x = 0, we have;

C[tex]_{(y-intercept)}[/tex] = m × 0 + A

C[tex]_{(y-intercept)}[/tex]  = A = Cost of delivery

The points on the line are;

(0, 120) and (400, 134), therefore, the slope, m, is given as follows;

[tex]Slope, \, m =\dfrac{134-120}{400-0} = \dfrac{14}{400} = 0.035[/tex]

We have;

(C - 134) = 0.035×(x - 400)

C = 0.035·x - 14 + 134 = 0.035·x + 120

C = 0.035·x + 120

At the y-intercept, x = 0, we have;

C[tex]_{(y-intercept)}[/tex] = 0.035 × 0 + 120

C[tex]_{(y-intercept)}[/tex]  = 120 = Cost of delivery

Therefore, the cost at the y-intercept = The cost of delivery = $120

3. The coordinates of points on the graph are;

(0, 1) and (2, 0)

The slope, m = (0 - 1)/(2 - 0) = -1/2

The equation of the line in point slope form is given as follows;

(y - 0) = -1/2 × (x - 2)

y = -x/2 + 1

The x-intercept occurs at the point y = 0, which is presented as follows;

0 = -x/2 + 1

-x/2 = -1

x = -1 × (-2) = 2

x = 2

Therefore, the y-intercept occurs at x = 2.

The correct option is

C 2

Answer:

ruler(×,y)=(20,20)

Step-by-step explanation:

sorry if its wrong

anyways are you using a mac?

Answer:

360 degrees

Step-by-step explanation:

We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as  the exterior angles of the given triangles, their sum will be 360 degrees as well.

Answer:

-6

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -8- -14)/( 8 -9)

  = ( -8+14)/( 8 -9)

  6/-1

  -6

Answer:

[tex]\boxed {\tt m= -6}[/tex]

Step-by-step explanation:

The slope formula is:

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

where (x₁, y₁) and (x₂, y₂) are the points given.

The points are (9, -14) and (8,-8). Therefore,

x₁=9

y₁= -14

x₂= 8

y₂= -8

Substitute the values into the formula.

[tex]m=\frac{-8 - -14}{8-9}[/tex]

[tex]m=\frac{-8 +14}{8-9}[/tex]

Solve the numerator.

[tex]m=\frac{6}{8-9}[/tex]

Solve the denominator.

[tex]m=\frac{6}{-1}[/tex]

Divide 6 by -1.

[tex]m= -6[/tex]

The slope is equal to -6

Answer:

I think the answer is A. since the exponents inside the equation are negative, and the outside exponents are positive

Step-by-step explanation:

Answer:

She worked 12 hours as a babysitter and hours 6 as a hostess

Step-by-step explanation:

She woks 6 hours and gets 52.20 as a hostess so if she worked 6 hours as a babysitter then she would make 60 and 165-60=105 and since she worked 6 hours as a baby sitter than she has to work 12 hours as a hostess to make 105  we know that 105+60 =165. Forgive me if I'm wrong but I hope this helps! [creds: cosmicredstone1]

Answer:

The answer is "150 seconds".

Step-by-step explanation:

[tex]\to distance = 300 \ meter\\\\\to speed = 2 \ \frac{m}{s} \\\\\ formula: \\\\ \bold{speed = \frac{distance}{time}}\\\\[/tex]

[tex]time= \frac{distance}{speed}\\\\[/tex]

        [tex]=\frac{300}{2}\\\\=150 \ seconds[/tex]

Answer:

7°

Step-by-step explanation:

(8x+6)°=62°

8x=62°-6°

8x= 56°

X=(56/8)

X==7°

Answer:

9^2/9^7 = 9^-5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The metric system uses one unit for each category of measurement.

Answer:

(B) 31.5

Step-by-step explanation: