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3 years ago

Add. 2/3 + 1/5 =??????

Mathematics

2 answers:

alex41 [277]3 years ago

8 0

Answer

13/15

Explaination

First, Add fractions, 2/3 + 1/5 = 10 + 3 / 15.

Second, add 10 and 3.

Answer: 13/15.

BabaBlast [244]3 years ago

8 0

Answer:

13/15

Step-by-step explanation:

Find the common denominater which is 15

convert the fractions so they are equavelent

10/15+3/15

add

13/15

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Write the equation of the circle below to complete the square. Also determine the area of the circle.

diamong [38]

Answer: $(x-7)^2+(y+2)^2=11^2$ ; $A=121\pi$

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

$(x-a)^2+(y-b)^2=r^2$

Begin by grouping the 'x' terms and 'y' terms:

$(x^2-14x)+(y^2+4y-68)=0$

Complete the square for the second polynomial:

$(\frac{b}{2} )^2=(\frac{4}{2} )^2=4$

$(x^2-14x)+(y^2+4y+4-4-68)=0$

$(x^2-14x)+(y^2+4y+4)-4-68=0$

$(x^2-14x)+(y^2+4y+4)-72=0$

$(x^2-14x)+(y+2)^2-72=0$

Do the exact same process with the other polynomial:

$(x^2-14x-72)+(y+2)^2=0$

Complete the square:

$(\frac{14}{2} )^2=49$

$(x^2-14x+49-49-72)+(y+2)^2=0$

$(x^2-14x+49)-49-72+(y+2)^2=0$

$(x^2-14x+49)-121+(y+2)^2=0$

$(x-7)^2-121+(y+2)^2=0$

Bring the 121 to the other side to get:

$(x-7)^2+(y+2)^2=121$

$(x-7)^2+(y+2)^2=11^2$

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

$A=\pi r^2=121\pi$

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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△ABC @ △DEF. Find the measures of the given angles or the lengths of the given sides

brilliants [131]

Answer:

BC = EF = 8

Step-by-step explanation:

Assuming you mean BC ≅ EF, then ...

... 3z +2 = z +6

... 2z = 4 . . . . . . . . add -2-z

... z = 2 . . . . . . . . . divide by 2

BC = EF = 2+6 = 8

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4 years ago

Find the number of ways to purchase 3 different kinds of drinks from a selection of 10 drinks.

Genrish500 [490]

The correct answer is 120.

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4 years ago

Please help me tahank you so much

STALIN [3.7K]

We know that a triangle adds up to 180 degrees.

Here, 130 is a vertical angle so on the opposite side the triangle makes, it is also 130. Then we could add 130 to 25

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Now let’s subtract this from 180.

180 - 155 = 25.

X is a supplementary angle to 25 so subtract 25 from 180.

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X = 155.

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3 years ago