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3 years ago

The equation of a circle is (x + 4)2 + (y + 6)2 = 16. Determine the length of the radius.

Mathematics

2 answers:

faust18 [17]3 years ago

7 0

R^2=16
Therefore R=4

Leya [2.2K]3 years ago

6 0

Answer:

Step-by-step explanation:

√16 = 4

r = 4

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What is the following product? (2 square root 7+3 square root 6)(5 square root 2+4 square root 3)

Xelga [282]

$(2\sqrt7+3\sqrt6)(5\sqrt2+4\sqrt3)\qquad\text{use distributive property}\\\\=(2\sqrt7)(5\sqrt2)+(2\sqrt7)(4\sqrt3)+(3\sqrt6)(5\sqrt2)+(3\sqrt6)(4\sqrt3)\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt{12}+12\sqrt{18}\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt{4\cdot3}+12\sqrt{9\cdot2}\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt4\cdot\sqrt3+12\sqrt9\cdot\sqrt2\\\\=10\sqrt{14}+8\sqrt{21}+(15)(2)\sqrt3+(12)(3)\sqrt2\\\\=\boxed{10\sqrt{14}+8\sqrt{21}+30\sqrt3+36\sqrt2}$

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3 years ago

Read 2 more answers

What is the volume of this sphere?

Natasha_Volkova [10]

Answer:

Option c. 11,488.21 cm3

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=28/2=14\ cm$ ---> the radius is half the diameter

$\pi =3.14$

substitute

$V=\frac{4}{3}(3.14)(14)^{3}$

$V=11,488.21\ cm^3$

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3 years ago

Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?

san4es73 [151]

The bike store marks up the wholesale cost of all of the bikes they sell by 30%. Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?

Answer:

$96.15

Step-by-step explanation:

Let x be the wholesale cost of the bike.

Given:

Price tag of a bike = $125.

The bike store marks up the wholesale cost of all of the bikes they sell by 30%.

So we can find the wholesale cost of the bike by the following way.

$\frac{100+30}{100}\times x = 125$