The correct question is:
A circle has a radius of 45 units and is centered at (-2.4, -4.8).
What is the equation of this circle?
Answer:
Equation of the circle is;
(x + 2.4)² + (y + 4.8)² = 2304
Step-by-step explanation:
The standard equation of a circle is;
(x - a)² + (y - b)² = r²
where;
(a,b) is the center of the circle and r is the radius of the circle
Now, from the question, the circle is centered at (-2.4, -4.8) and the radius is 45
Thus, plugging those values into the standard form of equation of a circle, we have;
(x - (-2.4))² + (y - (-4.8))² = 48²
This gives;
(x + 2.4)² + (y + 4.8)² = 2304
Answer:
The vertex is at (1, -108).
Step-by-step explanation:
We have the function:
And we want to find its vertex point.
Note that this is in factored form. Hence, our roots/zeros are <em>x</em> = 7 and <em>x</em> = -5.
Since a parabola is symmetric along its vertex, the <em>x-</em>coordinate of the vertex is halfway between the two zeros. Hence:
To find the <em>y-</em>coordinate, substitute this back into the function. Hence:
Therefore, our vertex is at (1, -108).
To make 2 1/50 as a decimal you must first make it improper;
2 1/50 = 101/50
so now to get the decimal just divide the numerator by the denominator;
101 ÷ 50 = 2.02
so 2 1/50 expressed as a decimal is; 2.02
Answer:
38.25 because both numbers are negative and a negative number times a negative number is a positive number.
Step-by-step explanation:
When you multiply just forget about them being negative for a little, and move the decimal to the right until you have a integer (a whole number not a fraction/decimal). Than multiply it how you normally multiply, now that you have 3825 you have to add the number of spots you moved the decimals which is two one for the top one for the bottom, which is 2 places and then move the decimal 2 places to the left in our number which will make it 38.25. Both numbers are negative and a negative number times a negative number is a positive number. So yeah. :D
Answer:
363.6
Step-by-step explanation:
Given in the question,
side of square = 10
Step 1
To find the slant height pyramid we will use pythagorus theorem
13² = 5² + height²
height = √13² - 5²
= 12
Now find the height of the pyramid
12² = 5² + height²
height = 10.91
Step 2
Base area of the pyramid
area = l²
= 10²
= 100
Step 3
Volume = 1/3(height)(basearea)
= 1/3(10.91)(100)
= 363.6