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3 years ago

Which is the most specific location of k on the Venn Diagram? •I •II •III •IV

Mathematics

2 answers:

Anestetic [448]3 years ago

6 0

The E symbol means belongs to so it would belong to both circle A and B. That means the answer is B. II

Hope that helps.

Brainliest is always appreciated : )

pashok25 [27]3 years ago

3 0

A∩B means that there is a portion of A and a Portion of B that are shared. These shared ones are in both "A"s Region and in "B"s region. That is Region 2 of the Venn diagram. That's also Answer B.

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Read 2 more answers

The equation of a circle is x2 + y2 + 6x + 4y + 10 = 1. What is this equation written in its standard form?

Marrrta [24]

Option A: $(x+3)^2+(y+2)^2=4$ is the equation of the circle

Explanation:

The equation of the circle is $x^{2} +y^2+6x+4y+10=1$

We need to write the equation of the circle in standard form.

Let us subtract 10 from both sides of the equation.

Thus, we have,

$x^{2} +y^2+6x+4y=-9$

Grouping the terms,we have,

$(x^{2} +6x)+(y^2+4y)=-9$

Now, we shall complete the square, let us add and subtract the equation by 9 to write the term $\left(x^{2}+6 x\right)$ in the form of $(a+b)^2$

Thus, we have,

$(x^{2} +6x+9-9)+(y^2+4y)=-9$

Simplifying, we get,

$(x^{2} +6x+9)+(y^2+4y)=-9+9$

$(x+3)^2+(y^2+4y)=0$

Similarly, we shall complete the square for the term $\left(y^{2}+4 y\right)$ in the form of $(a+b)^2$

Thus, we have,

$(x+3)^2+(y^2+4y+4-4)=0$

Simplifying, we get,

$(x+3)^2+(y^2+4y+4)=4$

$(x+3)^2+(y+2)^2=4$

Thus, the equation of the circle in standard form is $(x+3)^2+(y+2)^2=4$

Hence, Option A is the correct answer.

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4 years ago

Find the surface area of a triangular prism that has a height of 11 meters and the following triangular base. All dimensions are

worty [1.4K]

Area of base = 1/2 x 4 x 3.5 = 7 m²

Perimeter of the base = 4 + 4 + 4 = 12 m

Surface area = 7 + 7 + 12 x 11 = 146 m²

Answer: 146 m²

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3 years ago