Answer:
The function is quadratic
Step-by-step explanation:
I just took the quiz and I Had a passing score
Answer:
(x + 2)² + (y - 1)² = 25
General Formulas and Concepts:
<u>Algebra I</u>
<u>Pre-Calc</u>
Circle Center Formula: (x - h)² + (y - k)² = r²
- <em>(h, k)</em> is center
- <em>r</em> is radius
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>(h, k)</em> = (-2, 1)
<em>r</em> = 5
<u>Step 2: Find Equation</u>
- Substitute in variables [Circle Center Formula]: (x - -2)² + (y - 1)² = 5²
- Simplify: (x + 2)² + (y - 1)² = 25
Topic: Pre-Calculus
Unit: Conics
Book: Pre-Calculus (McGraw Hill)
Answer:
The length of the diagonal HJ is 10.82 units
Step-by-step explanation:
* Lets revise the rule of the distance between two points
-
, where
and
are the two points
* Lets use this rule to find the length of the diagonal HJ
∵ The coordinates of point H are (-4 , 3)
∵ The coordinates of point J are (5 , -3)
∴
and ![x_{2}=5](https://tex.z-dn.net/?f=x_%7B2%7D%3D5)
∴
and ![y_{2}=-3](https://tex.z-dn.net/?f=y_%7B2%7D%3D-3)
- Lets find the length of the diagonal HJ by using the rule above
∴ HJ = ![\sqrt{(5-(-4))^{2}+(-3-3)^{2}}=\sqrt{(5+4)^{2}+(-6)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%285-%28-4%29%29%5E%7B2%7D%2B%28-3-3%29%5E%7B2%7D%7D%3D%5Csqrt%7B%285%2B4%29%5E%7B2%7D%2B%28-6%29%5E%7B2%7D%7D)
∴ HJ = ![\sqrt{(9)^{2}+36}=\sqrt{81+36}=\sqrt{117}=10.81665](https://tex.z-dn.net/?f=%5Csqrt%7B%289%29%5E%7B2%7D%2B36%7D%3D%5Csqrt%7B81%2B36%7D%3D%5Csqrt%7B117%7D%3D10.81665)
∴ HJ = 10.82
* The length of the diagonal HJ is 10.82 units
Answer:
To get 6 1/3 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction. Here are the detailed math steps we use to convert 6 1/3 mixed number to decimal form: Step 1:Multiply the whole number by the denominator: 6 × 3 = 18
Step-by-step explanation:
Let the two numbers be represented by x and y. The problem statement gives rise to two sets of equations.
x - y = 0.6
y/x = 0.6 . . . . . . . assuming x is the larger of the two numbers
or
x/y = 0.6 . . . . . . . assuming y has the larger magnitude
The solution of the first pair of equations is
(x, y) = (1.5, 0.9)
The solution of the first and last equations is
(x, y) = (-0.9, -1.5)
The pairs of numbers could be {0.9, 1.5} or {-1.5, -0.9}.