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3 years ago

10

Sue drank 2/5 of her water bottle and sally drank 4/10 of her water bottle how much water did both girls drank?

1 answer:

stealth61 [152]3 years ago

3 0

well, clearly the LCD from the denominators of 5 and 10 is just 10, thus

$\bf \stackrel{\textit{Sue}}{\cfrac{2}{5}}+\stackrel{\textit{Sally}}{\cfrac{4}{10}}\implies \stackrel{\textit{LCD of 10}}{\cfrac{(2)2~~+~~(1)4}{10}}\implies \cfrac{2+4}{10}\implies \cfrac{6}{10}\implies \stackrel{\textit{simplified}}{\cfrac{3}{5}}$

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2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle.

Varvara68 [4.7K]

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

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

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

$(x+1)^{2} +(y-2)^{2} =36$

the Center is: (-1,2)

and the radius is: $\sqrt{36}$ = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

$(x+1)^{2} +(y-2)^{2} =36$

$(x+1)^{2} +(2-2)^{2} =36$

$(x+1)^{2} +(0)^{2} =36$

$(x+1)^{2} =36$

$x+1 =±\sqrt{36}$

$x=6-1$ AND $x=-6-1$

$x=5$ AND $x=-7$

The points are A(5,2) and B(-7,2)

second sub x= -1 in the equation to find the values for y:

$(x+1)^{2} +(y-2)^{2} =36$

$(-1+1)^{2} +(y-2)^{2} =36$

$(0)^{2} +(y-2)^{2} =36$

$(y-2)^{2} =36$

$y-2=±\sqrt{36}$

$y=6+2$ AND $y=-6+2$

$y=8$ AND $y=-4$

The points are D(-1,8) and E(-1,-4)

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

8 0

3 years ago

Please Help!!!! Emergency!!!!

Norma-Jean [14]

The volume of a cylinder is pi r^ h
R (radius) is 5, h (height) is 2.
pi x 5^ x 2 = 157.080

6 0

3 years ago

HELP PLZ BRAINIEST TO WHOEVER RIGHT

ch4aika [34]

Answer:

five-number summary

Step-by-step explanation:

3 0

3 years ago

2 times the difference of 5 and 3

Feliz [49]

Answer:

4

Step-by-step explanation:

Equation:-

2(5-3)

=> 2(2)

=> 4

5 0

2 years ago

What’s the correct answer for this?

STatiana [176]

Answer:

6.7

Step-by-step explanation:

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3 years ago