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Tanzania [10]
3 years ago
15

Suppose y varies directly as x and y=21 when x 3 find x when y=42

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0
<span> 35
y=kx, where k is a constant
substitute in y=21 and x=3, you will get k=7
y=7(5)
y= 35 </span>
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Quadrilateral PUMA has coordinates at P(-5,-2), U(-1,2), M(4,-3), A(0,-7) and it is transformed by (x+3,y-5). Determined the ima
IgorLugansk [536]

The image of M is (7 , -8)

Step-by-step explanation:

Let us revise some transformation

  • If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)
  • If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)
  • If the point (x , y) translated vertically up by k units  then its image is (x , y + k)
  • If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

∵ The quadrilateral PUMA has coordinates at:

   P (-5 , -2) , U (-1 , 2) , M (4 , -3) , A (0 , -7)

∵ It is transformed by (x + 3 , y - 5)

- That means the quadrilateral translated 3 units right and 5 units

   down, then we add each x-coordinate by 3 and subtract 5 from

   each y-coordinate

∵ The coordinates of point M are (4 , -3)

∴ The image of point M = (4 + 3 , -3 - 5)

∴ The image of point M = (7 , -8)

The image of M is (7 , -8)

Learn more:

You can learn more about transformation in brainly.com/question/5563823

brainly.com/question/11203617

*LearnwithBrainly

8 0
3 years ago
A certain quadrilateral has two pairs of parallel sides. The opposite sides are equal in length. There are also 4 right angles.
DENIUS [597]

Answer:

12 + 12 = 24

Step-by-step explanation:

P = 2L + 2W

P = 2*16 + 2W

P = 56

56 = 32 + 2W     Subtract 32 from both sides

56 - 32 = 2W

24 = 2W              Divide by 2

24/2 = 2W/2

12 = W

The answer you want is 2 * 12 = 24

6 0
2 years ago
The gas tank of a 2013 Honda Accord holds 17.2 gallons. How many pounds of carbon dioxide are produced by burning an entire tank
cricket20 [7]
One gallon of gasoline (6.3 lbs.) produces about 20 lbs. of carbon dioxide. This may seem weird and untrue, however, most of that weight comes from the oxygen in the air. Following the math on this means that we multiply 17.2 gallons of gas by 20 lbs. of co2 per gallon of gas burned. 
This gives us the answer of 344 lbs. of carbon dioxide burned per tank of gas. (From a 2013 Honda Accord)
8 0
2 years ago
5. Which is the 8term of the geometric
anygoal [31]

Answer:

16

Step-by-step explanation:

the numbers are divided by 4 to form a sequence so 64 divided by 4 is 16

4 0
2 years ago
Given z1 = 2 +StartRoot 3 EndRoot i and z2 = 1 – StartRoot 3 EndRoot i, what is the sum of z1 and z2?
Fofino [41]

Answer:

z1 + z2 = 3

Step-by-step explanation:

Since we are given z1 = 2 + √(3)i and z2 = 1 – √(3)i. The sum of z1 + z2 would be:

(2 + √(3)i) + (1 – √(3)i) = 2 + √(3)i + 1 – √(3)i = 2 + 1 + √(3)i – √(3)i = 3

Hence, z1 + z2 = 3.

8 0
3 years ago
Read 2 more answers
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