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Irina18 [472]
3 years ago
11

Write the equation of a circle that has a center at the origin and a radius with a length of 4 inches

Mathematics
2 answers:
joja [24]3 years ago
7 0

Answer:

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

Step-by-step explanation:

The standard form of an equation  for a circle is

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

Since the center is 0,0  and the radius is 4

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

VMariaS [17]3 years ago
4 0

Answer:

x^2+y^2=16

Step-by-step explanation:

x^2+y^2=r^2 is the mother function of the equation of a circle centered at r with radius r

since r is defined to be 4 and 4^2 is 16 therefore, the equation would then be

x^2+y^2=16

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Four times a number is equal to the number increased by 15. Enter the equation that represents Karla's sentence into the box. Us
Montano1993 [528]

Answer:

The equation that represents Karla's sentence is 4y = y + 15

Step-by-step explanation:

From the question,

Four times a number is equal to the number increased by 15. To write the equation that represents the sentence, we will have to use a variable to represent the unknown number.

Since we are asked to use y for the variable, that is, let the number be y

Then

The statement, "four times a number" will be

4×y = 4y

and this is equal to the number increased by 15,

The number increased by 15 means y + 15.

Hence, the equation becomes

4y = y + 15

This is the equation that represent Karla's sentence.

If desired,

The unknown number can be determined by solving for y in the equation

4y = y + 15

First, Collect like terms

4y - y = 15

3y = 15

Then, Divide both sides by 3

3y/3 = 15/3

y = 5

Hence, the variable (unknown number) is 5.

5 0
3 years ago
Help me on question 24 please and explain it thanks
Papessa [141]
You know that the sum of the interior angles in a triangle is 180
we will add all the angles,
(x+8)+(2x-8)+(3x-12)=180
x+8+2x-8+3x-12=180    8 and -8 cancel out 
6x-12=180
6x=180+12
6x=192
x=192/6=32
x=32

8 0
3 years ago
A pair of equations is shown below:
Dominik [7]
Remark
The very easiest way to do this is by substitution. The ys are isolated on the left. When you equate what's on the right, you can solve this for 1 variable, the xs.

Substitute and solve
8x - 9 = 4x -1             Subtract 4x from both sides.
8x - 4x - 9 = - 1 
4x - 9 = - 1                Add 9 to both sides.
4x = - 1 + 9
4x = 8                        Divide by 4
x =   8/4
x = 2

Solve for y
Use either equation to solve for y.
y = 4x - 1  
y = 4(2) - 1
y = 8 - 1
y = 7

Answer
The equations intersect at (2,7)

Part  B
See the graph below. Notice the intersect point.

5 0
3 years ago
Can anyone teach me on prime, odd and even numbers? I get confused sometimes​
notsponge [240]

Answer:

En matemáticas, un número primo es un número natural mayor que 1 que tiene únicamente dos divisores distintos: él mismo y el 1. ​​ Por el contrario, los números compuestos son los números naturales que tienen algún divisor natural aparte de sí mismos y del 1, y, por lo tanto, pueden

factorizarse .

Step-by-step explanat

8 0
3 years ago
Read 2 more answers
(-8) - 2. This problem could also be written as -8 - 2. Remember that thinking about a number line will help you to solve. Ident
masha68 [24]

Answer: It is -10

Explanation: This is because if you subtract from a negative you are actually adding to it.

8 0
3 years ago
Read 2 more answers
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