Answer:
The distance between the two stars in miles is 5.292 * 10^10 miles
Step-by-step explanation:
Here, we want to make a conversion from light year to miles
To make this conversion, we simply are going to multiply the light year by the miles
Mathematically, we have this as;
9 * 10^-3 * 5.88 * 10^12
= 52.92 * 10^9
= 5.292 * 10^10 miles
Answer:
The answers for your two problems, can be found below in the attached images.
Problem 1
Graph
The graph was plotted using a calculator. We can see that the graph opens up.
f(x) = x^2 + 4x +3
Vertex
The vertex is the minimum point of the equation
In this case Vertex (V) = (-2,-1)
Axis of symmetry
The x axis corresponding to the vertex component
x = -2
y intercept
Interception with the y-axis
From the first attached image, we can see that they y intercept occurs
at x = 0, y = 3
(0,3)
Problem 2
Graph.
The graph was plotted using a calculator. We can see that the graph opens up.
f(x) = 2x^2 + 3x +1
Vertex
The vertex is the minimum point of the equation
In this case Vertex (V) = (-0.75,-0.125)
Axis of symmetry
The x axis corresponding to the vertex component
x = -0.75
y intercept
Interception with the y-axis
From the second attached image, we can see that they y intercept occurs
at x = 0, y = 1
(0,1)
Since 3 is greater than -3, hence (-1, 3) lie in the solution set. Option C is correct
In order to determine the points that lie in the solution set of the inequality y > 3x +10, we will substitute the x-coordinate and see if <u>y is greater than the result.</u>
<u />
For the coordinate point (1, 10)
y > 3(1) +10
y > 13
Since 10 is not greater than 13, hence (1,10) does not lie in the solution set.
For the coordinate point (4, 20)
y > 3(4) +10
y > 22
Since 20 is not greater than 22, hence (4,20) does not lie in the solution set.
For the coordinate point (-1, 3)
y > 3(-1) +10
y > -7
Since 3 is greater than -3, hence (-1, 3) lie in the solution set.
Learn more on inequality here: brainly.com/question/24372553
Make bottom number same
6 and 54
common muultiplie is 54
multiply 5/6 by 9/9
45/54-5/54=(45-5)/54=40/54=20/27
Just subtract the whole numbers, 5.93-5 = 0.93.