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igor_vitrenko [27]
3 years ago
8

Another geometry question :D

Mathematics
2 answers:
Nitella [24]3 years ago
8 0
I think it should be c 
Nikolay [14]3 years ago
8 0

Answer:

Translated according to the rule (x, y) →(x + 8, y + 2) and reflected across the x-axis

Step-by-step explanation:

The given polygons are translated and then reflected along x or y axis .

To determine the one from the given options the figure is translated and then reflected along x axis .Consider points A and A'.

A (-4,5) ....>A' (4,-7)

If 8 is added to x and 2 to y ordinates we have:

A(-4+8,5+2)= ( 4,7)

If this point is reflected along x axis we have the reflected point as (4,-7) which is point A'.

The same is true for all the other points of the polygon.

Hence, The two transformations are applied to pentagon ABCDE to create A'B'C'D'E is Translated according to the rule (x, y) →(x + 8, y + 2) and reflected across the x-axis.

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Mark and Julio are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and packages of croc
ikadub [295]

Answer:

Bag of windflower bulbs costs $8.50

Package of crocus bulbs costs $17.60

Step-by-step explanation:

Let $x be the price of one bag of windflower bulbs and $y be the price of one  package of crocus bulbs.

1. Mark sold 2 bags of windflower bulbs for $2x and 5 packages of crocus bulbs for $5y. In total he earned $(2x+5y) that is $105. So,

2x+5y=105

2. Julio sold 9 bags of windflower bulbs for $9x and 5 packages of crocus bulbs for $5y. In total he earned $(9x+5y) that is $164.50. So,

9x+5y=164.50

3. You get the system of two equations:

\left\{\begin{array}{l}2x+5y=105\\ \\9x+5y=164.50\end{array}\right.

From the first equation

5y=105-2x

Substitute it into the second equation:

9x+105-2x=164.50

7x=164.50-105

7x=59.5

x=$8.50

So,

5y=105-2·8.5

5y=105-17

5y=88

y=$17.60

5 0
3 years ago
A line passes through the points (-1, -6) and (-4, 3). What is the equation of this line in slope-intercept form?
g100num [7]

Since we have two ordered pairs, we can find the slope by plugging them into (y2-y1)/(x2-x1) which translates to (3-(-6))/(-4-(-1))=9/-3=-3

Since the slope is -3, we have the equation y=-3x+b, but we don't know b. So we plug in values for x and y and solve for b.

-6=-3(-1)+b

-6=3+b

-9=b

So the y-intercept is -9 and the full equation is y=-3x-9 which means A is the only correct answer.

Hope this helped!

4 0
3 years ago
The junior and senior students at Mathville High School are going to present an exciting musical entitled, "Math, What is it Goo
xeze [42]

Some parts are missing in the queston. Find attached the picture with the complete question

Answer:

                   \large\boxed{\large\boxed{161}}

Explanation:

Let's put the information in a table step-by step.

                                                (number of remaining students)

                                                        Juniors          Seniors

Condition

  • Initially                                           J                     S
  • 15 seniors left                                                   S - 15
  • Twice juniors as seniors         2(S - 15)
  • 3/4 of the juniors left              1/4×2(S - 15)
  • 1/3 of seniors left                                             2/3×(S - 15)

At the end, there were 8 more seniors than juniors:

  • 2/3×(S - 15) -  1/4×2(S - 15) = 8

Now you have obtained one equation, which you can solve to find S, the number of senior students, and then the number of junior students.

Solve the equation:

2/3\times (S - 15) -  1/4\times 2(S - 15) = 8

  • Mutilply all by 12:

8(S - 15)-6(S - 15)=96

  • Distribution property:

8S-120-6S-90=96

  • Addtion property of equalities:

8S-6S=96+120+90

  • Add like terms:

2S=306

  • Division property of equalities:

S=306/2=153

That is the number of senior students that came out to the information meeting, but the number of students remaining to perform in the school musical is (from the table above):

2/3\times (S-15)+1/4\times 2(S-15)

Just substitute S with 153 fo find the number of students that remained to perfom in the musical:

          2/3\times (153-15)+1/4\times 2(153-15)\\ \\ 2/3(138)+1/2(138)

          161

5 0
2 years ago
What are the coordinates of D’ when the quadrilateral is reflected across the line y = x? On a coordinate plane, quadrilateral A
natita [175]

Answer:

D' (1, 3)

Step-by-step explanation:

When reflected across the y = x line, the "x" and "y" coordinates switch.

If D is (3, 1), then:

x = 3

y = 1

Switch the "x" and "y" values, and rewrite as (x, y).

x = 1

y = 3

D' (1, 3)

7 0
2 years ago
Ada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice. Let s represent the number of cu
Dafna11 [192]

Answer:

s = 2j

Step-by-step explanation:

Given - Ada makes sparkling juice by mixing 2 cups of sparkling water

            with every 4 cups of apple juice. Let s represent the number of

            cups of sparkling water and j represent the number of cups of

             apple juice.

To find - Write an equation that shows how s and j are related.

Proof -

Let total number of cups of sparkling water make = s

     Total number of cups of apple juice make = j

Now,

Given that, Ada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice.

⇒2s = 4j

⇒s = 2j

∴ we get

Ada can makes sparking water by mixing 2j cups of sparking water with every j cups of apple juice.

6 0
3 years ago
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