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vlada-n [284]
3 years ago
5

Suppose a figure is located in Quadrant I. Which of the following sequences will result in an image that is located in Quadrant

VI?
A. rotate 360 degrees counterclockwise, then shift 1 unit up
B. rotate 180 degrees counterclockwise, then shift 1 unit down
C. rotate 90 degrees counterclockwise, then shift 1 unit up
D. rotate 270 degrees counterclockwise, then shift 1 unit down
Mathematics
1 answer:
lesantik [10]3 years ago
5 0

Answer:

So option b is right.

Step-by-step explanation:

Given that a figure is located in Quadrant I.

The figure is transformed and the image is located in quadrant iv.

We have to select the option which would have resulted in this.

A) rotating 360 degrees would result in the same place i.e. I quadrant hence wrong.

B) rotating 180 degrees counterclockwise, will make y coordinate negative but x coordinate will remain as it is.

Hence we get image in the IV quadrant.

THis option is correct

C) Rotating90 degrees counterclockwise will not transform all the coordinates to the IV quadrant hence wrong

D) Rotating 270 degrees counterclockwise would make the image in III quadrant hence wrong

So option b is right.

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I am very confused, please help!
mojhsa [17]

Answer:

D

Step-by-step explanation:

Consider the equation:

\dfrac{3}{4}(24-16x)=-\dfrac{2}{3}(18x-27)

Use distributive property in both sides:

\dfrac{3}{4}\cdot 24-\dfrac{3}{4}\cdot 16x=-\dfrac{2}{3}\cdot 18x+\dfrac{2}{3}\cdot 27\\ \\3\cdot 6-3\cdot 4x=-2\cdot 6x+2\cdot 9\\ \\18-12x=-12x+18

Separate terms with x into the left part and terms without x into the right part:

-12x+12x=18-18\\ \\0=0

Since you get true equality 0 = 0, the equation is true for all real values of x. So, the equation has infinitely many solutions.

6 0
3 years ago
Kumar is opening a lemonade stand. He spent $4.50 to build the stand and $2.50 for lemons and sugar. He has enough ingredients t
Triss [41]
He would want to charge $0.85 per glass of lemonade to cover his expenses and have $10.00 profit. But in reality he would'nt make $17.00 because people don't carry freaking nickels and dimes.
3 0
3 years ago
Read 2 more answers
What is 3 times x =43
Inessa [10]

Answer:

3x=43

x=43÷3

x=14.35(appro)

Step-by-step explanation:

First divide 3 by 43

THEN you will find the Answer

3 0
3 years ago
On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid
Elza [17]

Answer:

L(t)=7600e^{0.2273t}

Step-by-step explanation:

-The locust population grows by a factor and can therefore be modeled by an exponential function of the form:

P=P_oe^{rt}

Where:

  • P is the population after t days.
  • P_o is the initial population given as 7600
  • r is the rate of growth
  • t is time in days

-Given that the growth is by a factor of 5( equivalent to 500%), the r value will be 5

-The population increases by a factor of 5 every 22 days. therefore at any time instance, t will be divided by 22 to get the effective time for calculations.

Hence, the exponential growth function will be expressed as:

P=P_oe^{rt},\ \ \ P=L(t)\\\\\therefore L(t)=7600e^{5\frac{t}{22}}\\\\=7600e^{0.2273t}

7 0
3 years ago
A rectangle has an area of 102 cm2. The length of the rectangle is 17 cm.
densk [106]
102 / 17 = 6 
6 is the width of the rectangle 
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6 0
3 years ago
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