Answer:
Step-by-step explanation:
The equation for a circle is given by:
Where (h,k) is the center and r is the radius.
The center is the red dot, which is (1,2). Thus, h=1 and k=2.
To find the radius, you need to use the distance formula. We are given two coordinates: the center (red dot) at (1,2) and a blue dot on the circle at (2.5,4). Find the radius by using the distance formula:
Let (1,2) be <em>x₁ </em>and <em>y₁ </em>and let (2.5,4) be <em>x₂ </em>and <em>y₂. </em>Therefore:
Thus, r is 2.5.
Plugging these numbers into the equation, we have:
Answer: 11
Step-by-step explanation:
Set up an equation
Based on the question, we can determine that 4x = 22 + 2x where x in is the number
"Four times a number" -> <u>4x</u>
"was" -> <u>=</u>
"22 greater than" -> <u>22 +</u>
"twice the same number" -> <u>2x</u>
Put the underlined parts together to get <u>4x = 22 + 2x</u>
Solve equation
Rearrange/collect like terms to solve for x by subtracting 2x from both sides
4x = 22 + 2x
2x = 22
Solve for x by dividing each side by 2
2x = 22
x = 11
Final Answer
x = 11
Answer:
z=98 and 5x+57 and z are supplementary.
Step-by-step explanation:
vertical angles theorem
Answer:
60%
Step-by-step explanation:
36/60 x 100= 60%
Both charms are "similar".
And notice one diameter is 1, the other is 4, the diameters are on a ratio of 1:4 then, and so both figures are on a ratio of 1:4.
so, if another unit, like the circumference is at 3.14 on the small one, then the large one will have a circumference 4 times that much, because the circumferences are also on a 1:4 ratio.
