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vlabodo [156]
3 years ago
15

Determine the standard form of the equation for the circle with center (h,k) = (-5 ½) and radius r =1

Mathematics
1 answer:
wariber [46]3 years ago
8 0
Asuuing yo meant (h,k)=(-5,1/2)

equation is (x-h)^2+(y-k)^2=r^2
(h,k) is center and r=radious
given that (h,k)=(-5,1/2) and r=1
h=-5
k=1/2

(x-(-5))^2+(y- \frac{1}{2} )^2=1^2
(x+5)^2+(y- \frac{1}{2} )^2=1
if you wanted us to expand
x²+y^2+10x-y+25.25=1
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Here is the equation to solve the problem above:

f(x) = (7-x)^3
y = (7-x)^3

switch y and x
 x = (7 - y)^3
 
third root of x = 7 - y
-y = 3rootx - 7
 
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3 years ago
PQ= 2x +1 and QR= 5x - 44; find PQ
Lena [83]

2x+1=5x-44 that would be your equation

next start to simplify 

subtract 1 from both sides so you are left with 2x=5x-45

then subtract 5x from both sides and you have -3x=-45

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2 years ago
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2 years ago
1)A student earned a grade of 80% on a math test that had 60 problems. How many
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48

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A rectangular prism has a base length of 6 units, base width of 5 units, and height of 4 units. The bases are shaded.
Angelina_Jolie [31]

Answer:

Part 1) The lateral area is LA=88\ units^2

Part 2) The area of the two bases together is 2B=60\ units^2

Part 3) The surface area is SA=148\ units^2

Step-by-step explanation:

Part 1) Find the lateral area

we know that

The lateral area of a prism is given by

LA=Ph

where

P is the perimeter of the base

h is the height of the prism

so

P=2(6+5)=22\ units ----> perimeter of rectangle

h=4\ units ---> given

substitute

LA=22(4)=88\ units^2

Part 2) The area of the two bases together is?

The area of the rectangular base B is equal to

B=(6)(5)=30\ units^2

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2B=2(30)=60\ units^2

Part 3) The total surface area is

we know that

The surface area is equal to

SA=2B+LA

substitute

SA=60+88=148\ units^2

4 0
3 years ago
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