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masha68 [24]
3 years ago
7

What is the area of this trapezoid? Enter your answer in the box. ___cm2

Mathematics
1 answer:
dexar [7]3 years ago
8 0

Answer:

366

Step-by-step explanation:

area of a trapezoid is A=a+b/2(h)

<u>14+28</u>

  2    

multiplied by 16 and you get 366

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Find the center and radius of the circle whose equation is x2 + y2 - 6x-2y+4= 0
marin [14]

Answer:

The center of the circle = (3, 1)

The radius of a circle is given as r = √6

Step-by-step explanation:

The equation of a circle is given as:

( x - a)² + (y - b)² = r²

where ( a , b) = center of the circle

r = radius of the the circle

In the question above, we are given the equation of a circle as

x² + y² - 6x - 2y + 4= 0

In order to find the center and radius of this circle we would use completing the square method to solve it

Step 1

Collect the like terms

x² - 6x + y² - 2y + 4= 0

Step 2

Complete the square for both x and y

x² - 6x + (-6/2)² + y² - 2y + (-2/2)² = - 4 +(- 6/2)² + (-2/2)²

x² - 6x + (-3)² + y² - 2y + (-1)² = -4 + (3)² + (1)²

x² - 6x + 9 + y² - 2y + 1 = -4 + 9 + 1

(x² - 6x + 9) + (y² - 2y + 1 )= -4 + 9 + 1

(x² - 3x - 3x +9) + ( y² - y - y +1) = 6

x(x - 3) -3( x - 3) + y( y - 1) - 1( y - 1) = 6

(x - 3) (x -3) +(y - 1) ( y - 1) = 6

(x - 3)²(y - 1)² = 6

Since,

The equation of a circle is given as:

( x - a)² + (y - b)² = r²

where ( a , b) = center of the circle

r = radius of the the circle

The equation of the the circle for the above question is calculated as:

(x - 3)²(y - 1)² = 6

where ( a , b) = center of the circle = (3, 1)

r = radius of the the circle

r² = 6

r = √6

8 0
3 years ago
-x + 4y = 15<br> 5x + 6y =3 <br> A (3,3)<br> B (-3,-3)<br> C (-3,3)<br> D (3,-3)
viva [34]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
Hep please will give brainiest and other!!!
Vaselesa [24]

y = -9

Ok so to write the equation of the line you will need the slope and y-intercept. Since we are given two-point we can easily find the slope by using this equation for slope formula:

\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

So now that we have our equation we can just plug in the numbers:

\frac{(-9)-(-9)}{5-(-3)}

After subtracting you should get:

0/8

Since zero is in the numerator and you can't divide zero by anything, the slope is 0. We still need the y-intercept for the equation however since the slope is 0 there is no need to put anything else.

Then to find the y-intercept all you have to do is plug in one of the coordinatines into the slope equation to solve, for example, using the point (5,-9):

(-9) = 5(0) + b

B is the variable for the y-intercept. Also notice how I put 0 as our slope into the equation. Now all you have to do is solve for b. Which you would get b = -9. Since you have your slope and your y-intercept now you just write out your equatoin for the line which is:

y = 0x - 9

**Just write it as

y = -9

5 0
3 years ago
Read 2 more answers
8x-2=4+5x<br><br> Solve for x
DochEvi [55]
8x-2=4+5x\ \  \ |add\ 2\ to\ both\ sides\\8x=6+5x\ \ \ \ |subtract\ 5x]\ from\ both\ sides\\3x=6\ \ \ \ |divide\ both\ sides\ by\ 3\\\boxed{x=2}
4 0
3 years ago
Read 2 more answers
The Muffin Man’s shop on Drury Lane charges 8% sales tax. Prince Charming’s purchases at the shop rang up at $34, and the tax wa
Gemiola [76]

Answer:

he multiplied by 0.8 not .08

Step-by-step explanation:

when doing 8% you go back 2 places so 0.08

34×0.08= 2.72

34+2.72= 36.72

7 0
3 years ago
Read 2 more answers
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