a highway is to be built between two towns, one of which lies 48.6 km south and 60.3 km west of the othe

[tex]\huge\boxed{y+2=-\dfrac{4}{3}(x-3)}[/tex]

Given a point and a slope, we want to write an equation in point-slope form.

The point-slope form is defined as:

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

In this equation, [tex](x_1, y_1)[/tex] is a known point on the line and [tex]m[/tex] is the line's slope.

Substitute in the values:

[tex]y-(-2)=-\dfrac{4}{3}(x-3)[/tex]

Finally, simplify. Subtracting a negative number is the same as adding a positive number:

[tex]\large\boxed{y+2=-\dfrac{4}{3}(x-3)}[/tex]

Answer:

8 tacos

Step-by-step explanation:

40 tacos    to     15 students

8 tacos       to      3 students

15/3 =5, so divide 40 by 5 to get 8

Answer:

a=57 degree

b = 24 degree

c = 39 degree

d = 60 degree

Step-by-step explanation:

angle a = YWX = YZX = 57

angle b = ZWY = ZXY = 24

angle c = WYX = WZX = 39

angle d = WYZ = WXZ = 60

The coordinates of the point that is 3 / 10 of the way from point A to point B is C(x, y) = (0.9, - 3).

In this problem we find a line segment whose endpoints are known: A(x, y) = (- 3, - 6), B(x, y) = (10, 4), and of which we need to find a point C such that it is 3 / 10 of the way from point A to point B, whose exact location can be found by means of the line segment formula:

C(x, y) = A(x, y) + (3 / 10) · [B(x, y) - A(x, y)]

C(x, y) = (- 3, - 6) + (3 / 10) · [(10, 4) - (- 3, - 6)]

C(x, y) = (- 3, - 6) + (3 / 10) · (13, 10)

C(x, y) = (- 3, - 6) + (3.9, 3)

C(x, y) = (0.9, - 3)

The coordinates of the point that is 3 / 10 of the way from point A to point B is C(x, y) = (0.9, - 3).

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Answer:The answer is -0.6

Step-by-step explanation: -15.4-10.4 is -25.8

                                             -25.8+25.2 is -0.6

                           So therefore the answer is -0.6

Answer:

a  c  e

Step-by-step explanation:

Answer:

3/ax-4=20

first add 4 to both sides

3/ax=20+4

multiply by a/3

24a/3

so x=8a

Answer: 1/8a

Step-by-step explanation: add 4 to both sides first, which will give you 3/ax = 24. Now multiply both sides by ax/3 to get rid of the 3/ax, which will then give you 1 = 24 * ax/3, which equals to 1 = 24ax/3. This can be simplified further and you'll get 1 = 8ax. now divide both sides by 8a to isolate x, you will end up with 1/8a = x.

The sample space for the given experiment is

{ (r,r) , (r,g) , (r,b)

  (g,r) , (g,g) ,(g,b)

  (b,r) , (b,g) , (b,b)}

A sample space is a set of potential results from a random experiment. Events are the subset of possible experiment results. An event is set of possible outcomes.

The die consists of 3 different colors namely red, green and blue

Here, the number of variables is 3 i.e red, green and blue.

The subset will contain

= [tex]2^{3}[/tex]

=8 elements.

The red color is indicated by 'r'

The green color is indicated by 'g'

The blue color is indicated by 'b'

The events that can appear in a single roll is r, b or g.

Sample space for the next 2 rolls

={ (r,r) , (r,g) , (r,b)

  (g,r) , (g,g) ,(g,b)

  (b,r) , (b,g) , (b,b)}

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Answer: 2a-2ab+7

Step-by-step explanation:

6a-5ab+8-(4a-3ab+1)=

6a-5ab+8-4a+3ab-1=

2a-2ab+7

Answer:

2a - 2ab - 9b + 7

Step-by-step explanation:

The step here is to collect the like terms available like this;

6a - 5ab - 9b + 8

- 4a - 3ab - 0 + 1

which is = 2a - 2ab - 9b + 7

Answer:

A=9cm square

or,l square=9 cm square

or,l=3 cm.

Answer:

12

Step-by-step explanation:

[tex] \frac{3}{8} = \frac{?}{32} [/tex]

8*4=32

3*4=12

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

Work Shown:

[tex]f(\text{x}) = -2\text{x}^2+4\\\\f(4) = -2(4)^2+4\\\\f(4) = -2(16)+4\\\\f(4) = -32+4\\\\f(4) = -28\\\\[/tex]

Explanation:

Replace every x with 4. Then use the order of operations PEMDAS to simplify to a single number.

Answer:

Step-by-step explanation:

Let the speed of the private jet is p and commercial jet is c.

Find c:

Answer:

i think there both obtuse

Answer:

Below

Step-by-step explanation:

Flower bed A

C = 2πr

C = 2π(5)

C = 2(5)π

C= 10π

A= πr²

A= π(5)²

A= π25

A= 25π

____________________________________________________

Flower bed B

C = 2πr

C = 2π(6)

C = 2(6)π

C = 12π

A = πr²

A = π(6)²

A = π36

A = 36π

(1)  y-intercept is 490 and the slope is -2/3.

(2) First, plot the point(0,490). Then utilize the slope (-2/3) to compute the direction and angle the line moves.

(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.

(4) The graph of the function is attached below.

(5) The profits have the same slope, but the y-intercept is greater than that of the previous month.

(6) The equation is y = (-2/3)x + 300.

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Answer:

3

Step-by-step explanation:

2.25×10=22.5

If there is 0 in front of the number:eg(02.25) 0 does not count but it counts if it comes after nonzero digits.

The equation for L, in terms of t, representing the amount Sophie owes her friend after t weeks is; L = 2t + 10

The general formula for equation of a line in Slope Intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, from the given question, the table of values is;

Number of weeks         Amount of money owed

      0                                   10

      1                                     8

      2                                    6

      3                                    4

Now, since Sophie agreed to pay back her friend $2 per week and originally borrowed $10, it means that;

Slope = 2

y-intercept = 10

Thus, the equation for L, in terms of t, representing the amount Sophie owes her friend after t weeks is;

L = 2t + 10

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Answer: PQ=15

Step-by-step explanation:

XY=(PQ+SR)/2

PQ+SR=2*XY

PQ+35=2*25

PQ+35=50

PQ=15

Answer: 13/2

Step-by-step explanation:

Answer:

a) true

b) false

c) false

Step-by-step explanation:

Here are these 4 sets in order of including more numbers to including fewer numbers.

R = all real numbers

Z = all integers

W = all whole numbers

N = all natural numbers

a) true

b) false

c) false

Answer:

3 x 2 5/6 y 7/6 x 8/3

^3 x

Step-by-step explanation:

If the coordinate points is reduced using the scale factor of 1/4, hence the resulting coordinate point will be;

F'(-2/4, 8/4) = (-1/2, 2)

G'(4/4, 8/4) = (1, 2)

I'(-6/4, -4/4) = (-1.5, -1) and;

H(8/4, -4/4) = (2, -1)

A scale factor is is a number used to enlarge a shape and each side is multiplied by the same number.

The given trapezoid has the coordinate points F(-2, 8), G(4, 8), I(-6, -4) and H(8, -4).

If the coordinate points is reduced using the scale factor of 1/4, hence the resulting coordinate point will be;

F'(-2/4, 8/4) = (-1/2, 2)

G'(4/4, 8/4) = (1, 2)

I'(-6/4, -4/4) = (-1.5, -1) and;

H(8/4, -4/4) = (2, -1)

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Answer:

8

Step-by-step explanation:

Given: x=2

Then,

5x-2 = 5(2)-2

= 10-2

=8