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Leno4ka [110]
3 years ago
8

What is the equation of a circle with center (2,-5) and radius 4?

Mathematics
2 answers:
azamat3 years ago
4 0

Answer:

(x - 2)² + (y + k)² = 4²

Step-by-step explanation:

To answer this, we insert the given into (center x-coordinate 2, center y-coordinate -5, radius 4) into the general formula for a circle with center at (h, k) and radius r:  (x - h)² + (y - k)² = r²  →  (x - 2)² + (y + k)² = 4²

Marrrta [24]3 years ago
3 0

The GENERAL equation for EVERY circle with its center at (A, B) and a radius of R is

(x - A)²  +  (y - B)²  =  R² .

So if you just stuff in the numbers given in this question, the equation of THIS circle is

<em>(x - 2)²  +  (y + 5)²  =  16</em>

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Roger read 4 more books in July then he did in January how many books did he read in July
ivanzaharov [21]

Answer:

13

Step-by-step explanation:

If he read 9 books in january and read 4 more in july than he did in january then he read 13 books in july.

3 0
3 years ago
What is the answer of a - 5 + -12
Pachacha [2.7K]
-5+-12 is -17
For lack of a better metaphor, it's like digging a pit deeper than it already is.
8 0
3 years ago
Read 2 more answers
Find the surface area and volume of a cylinder with a diameter equal
dangina [55]

Answer:

Volume = 1539.38 cm³

Surface Area = 747.7 cm²

Step-by-step explanation:

Volume = πr² h

V = π(7)²(10)

V = π(49)(10)

V = 490π

V = 1539.38 cm³

Surface Area = 2πrh + 2πr²

SA = 2π(7)(10) + 2π(7)²

SA = 2π(70) + 2π(49)

SA = 140π + 98π

SA = 238π

SA = 747.7 cm²

8 0
2 years ago
Write an equation that expresses the following relationship. p varies jointly with the square of d and the cube of u In your equ
Veronika [31]

Answer:

p= kd^{2}u^{3}

Step-by-step explanation:

Using k as the constant of proportionality.

The expression that expresses the relationship : p varies jointly with the square of d and the cube of u.

Varies jointly means that p will change as 'd' and 'u' will change together with respect to their powers.

We get the expression as:

p= kd^{2}u^{3}

5 0
4 years ago
Use Midpoint and Slope Formulas to complete the tables below.1. Find the midpoint of RP, given the coordinates R (5, 8) and P (3
poizon [28]

The midpoint formula for a segment is:

x_m,y_{_m}=\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2}

apply to points R and P

\begin{gathered} x_m,y_m=\frac{(5+3)}{2},\frac{(8+6)}{2} \\ x_m,y_m=\frac{8}{2},\frac{14}{2} \\ x_m,y_m=(4,7) \end{gathered}

using the definition of slope find the slope of the segment

m=\frac{y_2-y_1}{x_2-x_1}

apply to points R and P

\begin{gathered} m=\frac{8-6}{5-3} \\ m=\frac{2}{2} \\ m=1 \end{gathered}

to lines are parallel when the slopes are the same

\mleft\Vert m=1\mright?

two lines are perpendicular when the product of the slopes is equal to -1

\begin{gathered} m\cdot\perp m=-1 \\ 1\cdot\perp m=-1 \\ \perp m=-\frac{1}{1} \\ \perp m=-1 \end{gathered}

7 0
1 year ago
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