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Viefleur [7K]
3 years ago
14

Write the equation of the circle with center (−3, −2) and (4, 5) a point on the circle.

Mathematics
2 answers:
Naddika [18.5K]3 years ago
6 0
1. distance = √((x₂-x₁)²+(y₂-y₁)²)= radius of the circle.

distance = √((4-(-3))²+(5-(-2))7²) = √98

2. (x-k)²+(y-h)²=r² center (-3,-2) which is (k,h)

(x-(-3))²+(y-(-2))²= (√98)²

(x+3)+(y+2)² = 98 is the equation
Alja [10]3 years ago
5 0

Answer:

B.  (x + 3)^2 + (y + 2)^2 = 98

Step-by-step explanation:

(x + 3)^2 + (y + 2)^2 = 98

r =(sqroot)   (x − h^)2 + (y − k)^2

r =(sqroot)   (4 − (−3)^2 + (5 − (−2)^2

r =  (sqroot) 7^2 + 7^2

r =  (sqroot) 49 + 49

r =(sqroot)   98

x^2 + y^2 = r^2

(x − (−3)^2 + (y − (−2)^2 = (sqroot) ( 98)^2

(x + 3)^2 + (y + 2)^2 = 98

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vector v has a horizontal vector component with magnitude 19 and a vertical vector component with magnitude 35. what is the acut
vladimir2022 [97]

9514 1404 393

Answer:

  61.5°

Step-by-step explanation:

The tangent relation is useful here. The angle is opposite the vertical side and adjacent to the horizontal side of the right triangle.

  Tan = Opposite/Adjacent

  tan(α) = 35/19

  α = arctan(35/19) ≈ 61.5°

The angle made by <em>v</em> and the positive x-axis is 61.5°.

4 0
2 years ago
Dilip is going to paint a shoebox to use for storage of his trading cards. The shoebox is 23 inches long, 10 inches wide, and 8
chubhunter [2.5K]

The answer is 988 square inches. L=23 W=10 H=8

The equation for surface area is 2(L x W) + 2(L x H) + 2(W x H)

Next, you need to substitute the values into the equation to get:

Surface area= 2(23 x 10) + 2(23 x 8) + 2(10 x 8)

Now finish solving the equation to get an answer of 988 square inches!

5 0
3 years ago
Which expression is equivalent to ?
mamaluj [8]

Answer:

Step-by-step explanation:

\frac{(a^{2}b^{4}c)^{2}*(6a^{3}b)*(2c^{5})^{3}}{4a^{6}b^{12}c{^3}}\\\\=\frac{a^{2*2}b^{4*2}c^{2}6a^{3}b2^{3}c^{5*3}}{4a^{6}b^{12}c{^3}}\\\\=\frac{a^{4}b^{8}c^{2}6a^{3}b8c^{15}}{4a^{6}b^{12}c{^3}}\\\\=\frac{6*8*a^{4+3}b^{8+1}c^{2+15}}{4a^{6}b^{12}c{^3}}\\\\=\frac{6*2*a^{7}b^{9}c^{17}}{a^{6}b^{12}c{^3}}\\\\=\frac{12a^{7-6}c{17-3}}{b^{12-9}}\\\\=\frac{12a^{1}c^{14}}{b^{3}}\\\\=\frac{12ac^{14}}{b^{3}}

Hint:

x^{m}*x^{n}=x^{m+n}\\\frac{x^{m}}{x^{n}}=x^{m-n},m>n\\\frac{x^{m}}{x^{n}}=\frac{1}{x^{n-m}},n>m

5 0
3 years ago
If the square root of 16 = x, then x2 =
solmaris [256]

Answer:

8

Step-by-step explanation:

16=x

16 square root is 4

16=4

x2

(4)2= 8

6 0
2 years ago
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How do I know whether something is a function or not? Answer the worksheet please
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Because you if it changes its a function
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