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Novay_Z [31]
3 years ago
7

There are 3x−2 trees planted in each row of a rectangular parcel of land. If there are a total of 24x−16 trees planted in the pa

rcel, how many rows of trees are there in the parcel
Mathematics
1 answer:
Flauer [41]3 years ago
3 0
If there are 3x-2 trees planted in each row, and we have a total of 24x-16 trees, this means that the number of trees multiply the number of rows will give us the answer of 24x-16
let r=number of rows
(3x-2)*r=24x-16
to find r we will divide both side by 3x-2
r=<u>24x-16
</u>    3x-2
<u>
</u>we see that 8 is a common factor for the numerator

r= 8(3x-2)/3x-2=8

we have 8 rows
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Rectangle PQRS is rotated 90 counterclockwise about the origin what are the coordinates of point Q
inna [77]
You have not provided the diagram/coordinates for point Q, therefore, I cannot provide an exact answer.
However, I can help you with the concept.

When rotating a point 90° counter clock-wise, the following happens:
coordinates of the original point: (x,y)
coordinates of the image point: (-y,x)

Examples:
point (2,5) when rotated 90° counter clock-wise, the coordinates of the image would be (-5,2)

point (1,9) when rotated 90° counter clock-wise, the coordinates of the image would be (-9,1)

point (7,4) when rotated 90° counter clock-wise, the coordinates of the image would be (-4,7)

Therefore, for the given point Q, all you have to do to get the coordinates of the image is apply the transformation:
(x,y) .............> are changed into.............> (-y,x)

Hope this helps :)
5 0
2 years ago
Read 2 more answers
Dane started running at half past three in the afternoon. He stopped running at ten minutes after four. How long did Dane run?
Tatiana [17]
He ran for 40 minutes!
4 0
3 years ago
Read 2 more answers
Look at picture <br>y=_<br><br>the height of the baseball after 5 seconds is ___ feet​
Wittaler [7]

Answer:

  • y = -2(x -3)² +24
  • 16 feet

Step-by-step explanation:

We expect the equation for y to be quadratic. Since the table is obviously symmetrical about x=3, we can start with the vertex form ...

  y = a(x -3)² +b

Filling in the values from the first two table points, we get

  For (x, y) = (0, 6):

     6 = a(0 -3)² + b       ⇒   9a +b = 6

  For (x, y) = (2, 22):

     22 = a(2-3)² +b       ⇒   a +b = 22

Subtracting the second equation from the first gives ...

  (9a +b) -(a +b) = (6) -(22)

  8a = -16 . . . . . . collect terms

  a = -2 . . . . . . . . divide by 8

The second equation above tells us ...

  b = 22 -a = 22 -(-2) = 24

So, our equation for y is ...

  y = -2(x -3)² +24

__

The value of y for x=5 is ...

  y = -2(5 -3)² +24 = 16

The height of the ball after 5 seconds is 16 feet.

5 0
2 years ago
The population of Luis’s city in 2005 was 7400 and the population in 2010 was 9000. Let x represent the number of years since 20
podryga [215]

Answer:

The linear equation is;

y = 320x + 7400

Step-by-step explanation:

Here, we want to write a linear equation that represents the population y at a year since 2005

To write this, we need points

Initially, we have (0,7400)

Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)

Mathematically, we can get the slope as follows;

m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320

The equation of the line can be represented using the general form as;

y = mx + b

where m is 320 and b is unknown

So we have the equation as;

y = 320x + b

we need to get b

To get b, we can use any point

let us use the point (0,7400)

substituting this;

7400 = 320(0) + c

c = 7400

so the equation is;

y = 320x + 7400

4 0
2 years ago
Points F and E on the coordinate grid below show the positions of two midfield players of a soccer team:
Lelechka [254]

Answer:

F is E reflected across the y-axis; only the signs of the x-coordinates of F and E are different.

Step-by-step explanation:

The question is incomplete. Here is the complete question.

" Points F and E on the coordinate grid below show the positions of two midfield players of a soccer team:

Coordinate grid shown from negative 4 to positive 4 on x-axis and negative 4 to positive 4 on y-axis. From the origin, point E is 1.5 units to the left and 3 units up. From the origin, point F is 1.5 units to the right and 3 units up.

Which statement best describes the relationship between the positions of the two midfield players? (1 point)

Based on the coordinate of E;

The value on the x axis is -1.5 since the point is 1.5unitsTO THE LEFT from the origin(-ve x-axis acts towards the left in space). The value on the y-axis will be +3units since its 3units UP(+ve y axis acts upward).

The E coordinates will therefore be (-1.5, 3)

Similarly, for coordinate F:

If from the origin, point F is 1.5 units TO THE RIGHT, then the x-axis will be +1.5 (x-axis is positive towards the right) and +3 units up(+ve y axis acts upward).

The F coordinate will therefore be;

(1.5, 3).

From both coordinates, it can be seen that both x axis are of the same value but different signs. This means that the points E and F will act in the opposite side of the y-axis and a reflector of each other.

Based on the explanation above, it can be concluded that "F is E reflected across the y-axis; only the signs of the x-coordinates of F and E are different."

7 0
3 years ago
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