The coordinates of the vertices of quadrilateral ABCD are A(-5, 1), B(-2,5), C(5, 3),
and D(2, -1)
Drag and drop the choices into each box to correctly complete the sentences.
The slope of AB is
the slope of BC is
, the slope of CD is
and the
slope of AD is!
Quadrilateral ABCD is
because

Answer:

See attachment

Step-by-step explanation:

You can obtain any two points on the graph of [tex]y=-73x+2[/tex] and use it to draw its graph.

When x=0, [tex]y=-73*0+2=2[/tex]

So you plot (0,2)

When x=1, [tex]y=-73*1+2=-71[/tex]

You again plot (1,-71).

With a straight edge you can now draw a straight line through the two points.

See attachment

Answer:

Speed of the counselor is represented by 60 and is equal to 60 mph

Step-by-step explanation:

Given:

The expression that represents the distance, in miles, the counselor still needs to drive after 't' hours is given as:

[tex]d=130-60t\\d=-60t+130[/tex]

The above expression is of the form of a standard linear equation:

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

Here, 'm' represents the slope or rate of change of 'y' with 'x' and 'b' is the y-intercept or initial value of 'y' when 'x' was 0.

On comparing the standard equation with the given equation, we conclude that:

[tex]m=-60[/tex]

Therefore, the slope here represents the change in distance with time 't'.

We know that, change in distance with time is nothing but the speed.

So, the speed of the counselor is 60 mph.

Therefore, the term 60 represents the speed of the counselor.

Answer:

[tex]x=1.16[/tex]

Step-by-step explanation:

we have

[tex]4(e^x)=12.76[/tex]

Solve for x

That means ---> Isolate the variable x

Divide by 4 both sides

[tex](e^x)=3.19[/tex]

Apply ln both sides

[tex]ln[(e^x)]=ln(3.19)[/tex]

Apply property of logarithms (power rule) left side

[tex](x)ln(e)=ln(3.19)[/tex]

Remember that

[tex]ln(e)=1[/tex]

[tex]x=ln(3.19)[/tex]

[tex]x=1.16[/tex]

Answer:1.16

Step-by-step explanation:

this is correct

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

q  =  − 1 \6

Step-by-step explanation:

q  =  − 0.1 6 ¯  6

Answer:

y = - 5

Step-by-step explanation:

Given

4y - 3 = 5y + 2 ( subtract 5y from both sides )

- y - 3 = 2 ( add 3 to both sides )

- y = 5 ( multiply both sides by - 1 )

y = - 5

Answer:

Except k=7, any real number for k would cause the system of equations to have no solution.

Step-by-step explanation:

In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.

Just for information, if k=7 the system will have infinitely many solutions.

The error in Percy's statement is that, the system of equations would have infinite many solutions when k = 7

The system of equations is given as:

6x + 4y = 14,

3x + 2y = k

Multiply the second equation by 2

[tex]3x + 2y = k \to 6x + 4y = 2k[/tex]

Subtract the new equation, from the first equation

[tex]6x - 6x + 4y - 4y =14 -2k[/tex]

[tex]0=14 -2k[/tex]

Collect like terms

[tex]2k = 14[/tex]

Solve for k

[tex]k = 7[/tex]

The above means that:

The system of equations would have infinite many solutions when k = 7

Read more about system of equations at:

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Answer:

The two-liter bottle of soda has a unit price of $0.028/ounce.  

The case of twelve 12 ounces has a unit price of $0.021/ounce.

The case of twelve 12 ounce can is the better bargain.

Step-by-step explanation:

A two-liter bottle of soda i.e. 67.6 ounces cost $1.89.

So, the unit price (price/ounces) of this type of soda is [tex]\frac{1.89}{67.6} = 0.028[/tex] dollars per ounce.

Again, a case of twelve 12 ounce cans of the same soda costs $2.99.

So, the unit price (price/ounces) of this type of soda is [tex]\frac{2.99}{12 \times 12} = 0.021[/tex] dollars per ounce.

Therefore, the case of twelve 12 ounce can is the better bargain. (Answer)

The equation that expresses the area A(w) of the bulletin board as a function of its width w is A(w) = w².

To express the area A(w) of the bulletin board as a function of its width, we need to find the equation that relates the width to the area. Since the perimeter of the bulletin board is given as 200 inches, we can use the formula for the perimeter of a rectangle: P = 2w + 2l, where w is the width and l is the length. Since the bulletin board is assumed to be a rectangle, the length is equal to the width. We can rewrite the formula as 2w + 2w = 200, which simplifies to 4w = 200. Solving for w, we find w = 50.

Now that we know the width, we can express the area A(w) as a function of w. Since the area of a rectangle is given by the formula A = length * width, and the length is equal to the width in this case, we have A(w) = w * w = w².

The correct equation that expresses the area A(w) of the bulletin board as a function of its width w is A(w) = w², which corresponds to option D.

Answer:

Horizontal line or the technical name: Zero slope.

Step-by-step explanation:

When graphed, the line comes out horizontally, and horizontal lines are called zero slopes.

Step-by-step explanation:

a - any real number

This is the equation of the horizontal line passing through the points in the form (x, a), where x is any real number.

A slope of a horizontal line is equal 0.

It's a horizontal line passing through the points in the form (x, 7).

Look at the picture.

6 goes into 49 8 times with a remainder of 1.

Answer:

The value of x is 27

Complete question and statement:

(4x + 7) = [5(x - 4)} what is the value of x?

Source: Previous question that can be found at brainly

Step-by-step explanation:

Let's solve for x, (4x + 7) = [5(x - 4)]

(4x + 7) = [5x - 20]

4x + 7 = 5x - 20

4x - 5x = - 20 - 7 (Subtracting - 5x and - 7 at both sides)

- x = - 27

x = 27 (Multiplying by -1 at both sides)

The value of x is 27

PLEASE MARK BRAINLIEST!

Answer:

2!!

Step-by-step explanation:

2 ÷ 2 = 1

I hope this helps! If this answer is not correct, please don't hesitate to comment on it, as that way I can fix my answer!

- ibringsExxiback

Answer: X = 2

Step-by-step explanation: In this problem, notice that x is being divided by 2. So to get x by itself, we need to multiply both sides of the equation by 2.

Notice that on the left side, the 2 and 2 cancel each other out so we are just left with x. On the right side, we have 1 x 2 which is 2 so x = 2.

Finally, we can check our answer by plugging a 2 back into the original equation. So we have [tex]\frac{(2)}{2} = 1[/tex] which is a true statement so we know that our answer is correct.

Answer:

5 red, 7 blue and 8 yellow

Step-by-step explanation:

Just make a ratio and simplify

Red : Blue : Yellow

25 : 35 : 40

All divisible by 5

5 : 7 : 8

These dont have a common factor so this is the simplest ratio

Therefore the minimum drops Ava can add to a gallon of white paint to have that ratio are 5 red drops, 7 blue drops and 8 yellow drops.

The price of 1 youth ticket is $ 22

Solution:

Let "y" be the price of 1 youth ticket

Let "a" be the price of 1 adult ticket

To find: price of 1 youth ticket

Brianna's family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park

So we can frame a equation as:

2 adult tickets x price of 1 adult ticket + 3 youth tickets x price of 1 youth ticket = 134

[tex]2 \times a + 3 \times y = 134[/tex]

2a + 3y = 134 ---- eqn 1

Max's family spent $146 on 3 adults tickets and 2 youth tickets

So we can frame a equation as:

3 adult tickets x price of 1 adult ticket + 2 youth tickets x price of 1 youth ticket = 146

[tex]3 \times a + 2 \times y = 146[/tex]

3a + 2y = 146 ----- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "y"

Multiply eqn 1 by 3

6a + 9y = 402 ---- eqn 3

Multiply eqn 2 by 2

6a + 4y = 292 ----- eqn 4

Subtract eqn 4 from eqn 3

6a + 9y = 402

6a + 4y = 292

( - ) -------------------

5y = 110

y = 22

Thus the price of 1 youth ticket is $ 22

The expression to represent the cost, in dollars, for 5 people to go horseback riding for 2 hours each is $ (15 + 10x)

Solution:

Given that The total cost to go horseback riding is "x" dollars per hour plus a $3 fee for renting a helmet.

total cost = $ 3 + "x" dollars per hour

To find: expression to represent the cost, in dollars, for 5 people to go horseback riding for 2 hours each.

Let us first find the total cost for 1 person to horse ride for 2 hours

total cost for 1 person = $ 3 + 2x

Thus to find total cost for 5 people to go horseback riding for 2 hours each is found by multiplying the above expression by 5

Total cost for 5 people = 5 x total cost for 1 person

[tex]\text{ Total cost for 5 people } = 5 \times (3 + 2x)[/tex]

[tex]\text{ Total cost for 5 people } = 15 + 10x[/tex]

Thus the expression to represent the cost, in dollars, for 5 people to go horseback riding for 2 hours each is $ (15 + 10x)

Answer: From least to greatest, we get: 0.6010, 6.010, 6.100. Ordering these decimals from least to greatest we get: 0.601, 6.01, 6.1. Sometimes it is helpful to place a number in a circle to the right of each decimal you are trying to order.

Step-by-step explanation:

Answer:

shown in steps, either 189/15625 or 63/4600 depends on different situation

Step-by-step explanation:

The answer depends on whether the is chip can be put into bin for next pick,

if it can be put back after first pick.. the possibility will be

total chips: 7 + 9 + 3 + 6 = 25

Red -> green -> yellow 7/25 x 9/25 x 3/25 = 189/15625

If the first time picked chip will not put back for second pick:

7/25 x 9/24 x 3/23 = 63/4600

Answer:

A. [tex]\frac{189}{15625}[/tex]

Step-by-step explanation:

I got it right!!

We need to find the slope and the y-intercept to get an equation.

slope=change in y/change in x... or "(y2-y1)/(x2-x1)"

slope=(2-(-14))/(3-(-1))=16/4=4

Equation of a line:y=mx+b

Plug in a point and solve for b, the y intercept.

2=4(3)+b

b=-10

Answer: y=4x-10

Answer:

5

Step-by-step explanation:

The LCM of 1 and 5 is 5, as 1 is a factor of all numbers and thus does not change the other number when finding the LCM.

The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both of the given numbers. In the case of 1 and 5, the LCM can be found by simply taking the larger number since 1 is a factor of all integers which therefore, gives the LCM of 1 and 5 as 5. There isn't really a need for a complex calculation because any number multiplied by 1 remains unchanged.

Answer:

x=2, y=-5. (2, -5).

Step-by-step explanation:

-7x+y=-19

-2x+3y=-19

--------------------

-3(-7x+y)=-3(-19)

-2x+3y=-19

----------------------

21x-3y=57

-2x+3y=-19

-------------------

19x=38

x=38/19

x=2

-7(2)+y=-19

y=-19-(-14)

y=-19+14=-5

Answer:

[tex]x=22[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The exterior angle is the sum of the 2 opposite interior angles of a triangle

so

In this problem

[tex](6x+1)^o=79^o+(2x+10)^o[/tex]

solve for x

Combine like terms

[tex]6x+1=89+2x[/tex]

Group terms

[tex]6x-2x=89-1[/tex]

[tex]4x=88[/tex]

divide by 4 both sides

[tex]x=22[/tex]

Answer:

infinity

Step-by-step explanation: it keeps going

Answer:

$1.58

Step-by-step explanation:

To find the mean price, add up all the prices and divide by the number of items. The mean price of your purchased items is $1.59.

To find the mean price of the purchased items, you need to add up all the prices and then divide by the number of items. In this case, you purchased 6 items. So, you add $1.98 + $0.59 + $2.99 + $0.99 + $2.49 + $0.49 = $9.53. Then, you divide $9.53 by 6 to get the mean price which is $1.59.

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Answer:

Step-by-step explanation:

ax= 27........I would normally solve this by division....but it says multiply....so multiply both sides by 1/a

example :

3x = 27.....multiply both sides by 1/3

1/3(3/1)x = 27 * 1/3

x = 27/3 which reduces to 9

u have to multiply by the reciprocal of a to get rid of a

Answer: 200 miles

Step-by-step explanation: 1/5 is equal to 10miles so you 5/5 is 50 miles or 1 inch on the map.

Final answer:

The distance from the hospital to the airport on the map is 18 inches.

Explanation:

To find the distance from the hospital to the airport, we can use the scale of the map. Since the school and hospital are 3/5 inch apart on the map, and the school is 30 miles away from the hospital, we can set up the proportion:

3/5 inch = 30 miles

x inch = distance from hospital to airport

Cross-multiplying, we get 5x = 3 * 30

x = 18

Therefore, the distance from the hospital to the airport is 18 inches on the map.

David collected 13 newspaper

Solution:

Given that,

Michelle collected 7 more than twice the number of newspaper David collected.

Michelle collected 33 newspaper

To find: Number of newspaper collected by David

From given information,

Number of newspaper collected by Michelle = 7 more than twice the number of newspaper David collected

Number of newspaper collected by Michelle = 7 + 2(Number of newspaper collected by David)

33 = 7 + 2(Number of newspaper collected by David)

2(Number of newspaper collected by David) = 33 - 7

2(Number of newspaper collected by David) = 26

Number of newspaper collected by David = [tex]26 \div 2 = 13[/tex]

Therefore David collected 13 newspaper

Step-by-step explanation:

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The distance between the points (10, -11) and (-1, -5) is approximately 12.5 units.

The distance between two points can be found using the Distance Formula.

The formula is:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using the given points (10, -11) and (-1, -5), we can plug the values into the formula:

distance = sqrt((-1 - 10)^2 + (-5 - (-11))^2)

distance = sqrt((-11)^2 + (6)^2)

distance = sqrt(121 + 36)

distance = sqrt(157)

To the nearest tenth, the distance is approximately 12.5 units.

Answer:

27

Step-by-step explanation:

Use exponent laws

1/3^-3 = 3^3 = 27