Answer:
Length of the box, l = 1.80 inches
Step-by-step explanation:
Let length of the rectangular box is l
Width of the box is 4 times of its length, b = 4 l
Its height is 6 inch more than its length.
Height, h = (6 + l) inch
Volume of the box,
The volume of a box is given by :
On solving the above equation using online calculator we get,
l = 1.80 inch
Your answer is y = -3x + 1
To find the equation of the line we need both the slope and where it intercepts the y-axis. We are given where it intercepts the y-axis because they tell us it goes through the point (0, 1) and this is a point where x = 0, so it must be on the y-axis.
The equation for finding the slope of a line given two points is where and are points on the line. Using this, we can substitute in the points we're given and get:
(-5 - 1)/(2 - 0) = -6/2 = -3
Therefore our slope is -3 and our intercept is 1, so the final answer is y = -3x + 1
I hope this helps!
Answer:
Step-by-step explanation:
<u>Area formula for equilateral triangle with side a:</u>
<u>The base area is:</u>
The three lateral surfaces have same sides of 10, 10 and 12.
<u>Find each surface area using heron's formula:</u>
- s = P/2 = (10 + 10 + 12)/2 = 16
- s - a = 16 - 10 = 6
- s - b = 6
- s - c = 16 - 12 = 4
<u>Total surface area is:</u>
Correct choice is C
Answer:
(-10; 60)
Step-by-step explanation:
y = -6x
(12; -2)
-2 = -6 · 12
-2 = -72 - no
(3; -9)
-9 = -6 · 3
-9 = -18 - no
(-10; 60)
60 = -6 · (-10)
60 = 60 - yes
(18; -3)
-3 = -6 · 18
-3 = -78 - no
The first step to solving almost any problem is to understand what the question is asking and what is given to us in order for us to solve for the question. In this problem, we are given a graph and asked two questions. One being what the coordinates of the vertex are and whether this parabola has a maximum or a minimum.
Let's define what a vertex, maximum, and minimums are.
- Vertex ⇒ Vertex is the point at which it either reaches the maximum or minimum. This point can be easily defined as where the slope becomes flat.
- Maximum ⇒ Maximum occurs when the vertex is at the top and the lines go down in a negative-y-direction. Therefore with the vertex being at the top that would be considered a maximum as it's the largest point in the graph.
- Minimum ⇒ Minimum occurs when the vertex is at the bottom and the lines go up in a positive-y-direction. Therefore with the vertex being at the bottom that would be considered a minimum as it's the smallest point in the graph.
Now, looking at our problem we can see that our vertex is at the bottom therefore it would classify as a minimum. Now that we know we have a minimum vertex, let us determine what the actual coordinates of the vertex are.
We can see that we travel -3 in the x direction and -5 in the y direction which means that the coordinate for our vertex is (-3, -5) where the first number represents the x-value and the second number represents the y-value.