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lesya [120]
3 years ago
15

An irregular polygon is shown below: Image of irregular polygon with length of 7 units and height of 3 units labeled on left sid

e. Top side length of 4 units, the side adjacent to it on the right is 2 units. The area of the irregular polygon is ____ square units.
Mathematics
1 answer:
torisob [31]3 years ago
7 0
I don’t see the image can you please add one to the comments so I can answer it. Thanks
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Which point lies on a circle with a radius of 5 units and center at P(6,1)?
ryzh [129]

Answer:

Option B. R(2,4)

Step-by-step explanation:

we know that

If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle

step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

(x-h)^{2}+(y-k)^{2}=r^{2}

where

r is the radius of the circle

(h,k) is the center of the circle

substitute the values

(x-6)^{2}+(y-1)^{2}=5^{2}

(x-6)^{2}+(y-1)^{2}=25

step 2

Verify each case

case A) Q(1, 11)

substitute the value of x=1, y=11 in the equation of the circle and then compare the results

(1-6)^{2}+(11-1)^{2}=25

25+100=25 ------> is not true

therefore

the ordered pair Q not lie on the circle

case B) R(2,4)

substitute the value of x=2, y=4 in the equation of the circle and then compare the results

(2-6)^{2}+(4-1)^{2}=25

16+9=25 ------> is true

therefore

the ordered pair R lie on the circle

case C) S(4,-4)

substitute the value of x=4, y=-4 in the equation of the circle and then compare the results

(4-6)^{2}+(-4-1)^{2}=25

4+25=25 ------> is not true

therefore

the ordered pair S not lie on the circle

case D) T(9,-2)

substitute the value of x=4, y=-4 in the equation of the circle and then compare the results

(9-6)^{2}+(-2-1)^{2}=25

9+9=25 ------> is not true

therefore

the ordered pair T not lie on the circle

7 0
3 years ago
Find two consecutive integers such that one fifth of the first less one-ninth of the second is 3. Pls answer.​
mart [117]

Answer:

35 and 36

Step-by-step explanation:

To solve this problem, we must interpret it line by line;

  • We are dealing with consecutive integers; these are integers with a difference of 1 between them.

   let the first number = x

               second number  = x + 1

  • one - fifth of first;

             \frac{1}{5}x

  •   one - ninth of the second;

            \frac{1}{9}(x + 1)

for the "less" ;

         \frac{1}{5}x -  \frac{1}{9}(x + 1) = 3

Multiply through by 45

       45(\frac{1}{5}x) - (45) \frac{1}{9}(x + 1) = 3 x 45

           9x - 5(x + 1) = 135

           9x - 5x -5 = 135

             4x = 135 + 5

              4x = 140

                x = 35

Now, x+1  = 35 + 1 = 36

The consecutive integers are 35 and 36

4 0
3 years ago
Calculate the value of b + 12.5=12
KATRIN_1 [288]

Answer:

\large\boxed{b = -0.5}

Step-by-step explanation:

Hope this helps, have a great day

3 0
3 years ago
Read 2 more answers
What is 2x x54 <br> people with the best answer get a friend reqised
sergejj [24]
2x X 54 is going to be 108x 

since both are positive you will get a positive #
 54 X 2 is 108
6 0
3 years ago
Please take a look at the picture
Debora [2.8K]

\tiny \text{yes \: looked}

7 0
3 years ago
Read 2 more answers
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