Answer:
8 miles
Step-by-step explanation:
We start by calculating the distance between the two points
To calculate this, we use the distance formula
Let the distance be D
We have the formula as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-2+2)^2 + (-5-3)^2
D = √(64)
D = 8 units
Since 1 unit is 1 mile,
then 8 units will be 8 * 1 = 8 miles
Answer:
This tells us that the vertex is at (−2, 9) and the equation of the axis of symmetry is x = −2. To find the x-intercepts, we put y = 0 to obtain
(x + 2)2 − 9 = 0
(x + 2)2 = 9
x + 2 = 3 or x + 2 = −3
x = 1 or x = −5.
Step-by-step explanation:
Image result for Which quadratic function has a y-intercept of 4? y=x2−2x+4 y=x2+2x+9 y=−x2+3x y=x2+13x+12
The standard form of a quadratic equation is written as y=ax2+bx+c, where x and y are variables and a, b, and c are known constants. To find the y-intercept from a quadratic equation, substitute 0 as the value for x and solve. The y-intercept is always equal to the value of c in the equation.
Answer: the answer is $63.14.
Step-by-step explanation:
I took the test and got it correct.
Answer:
d) 0.798
Step-by-step explanation:
Since we know that an exponential function is in form: 
, where,
a= Initial value,
b = For growth b is in form (1+r), where r is rate in decimal form.
b = For decay or regression b is less than 1 and in form (1-r), where r is rate in decimal form.
Upon looking at our given choices we can see that options a, b and c are in form 1+r, while choice provided in option d is less than 1 and in form 1-r, therefore, option d is the correct choice.
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
The square of the tangent is equal to the product of the secant lengths to the near and far circle intersections.
(x +4)² = (2x -1)(2x -1 +9)
0 = (2x -1)(2x +8) -(x +4)² = (4x² +14x -8) -(x² +8x +16)
0 = 3x² +6x -24 = 3(x² +2x -8) = 3(x +4)(x -2)
This has solutions x = -4 and x = 2. Only the latter works in this geometry.
x = 2
