-2(x - 5) + 4(9 + x)
-2x + 10 + 36 + 4x
=2x + 46
Answer:
The vertex of the graph is located at the point (3,6)
Step-by-step explanation:
Here, we want to know where the vertex of the equation if plotted will be
To get this, what we have to do is to equate the expression that we have in the absolute value to zero
After this, we then proceed to solve for the value of x
We have this as;
x -3 = 0
hence;
x = 0 + 3
x = 3
to get the y-value of the vertex, we look at the value at the side of the absolute value
This value is 6 and thus, the y-value of the vertex point is 6
So the coordinates of the vertex is (3,6)
See the explanation
<h2>
Explanation:</h2>
Remember you have to provide complete questions in order to get exact answers. Here I'll provide a general explanation, so:
<h3>First.</h3>
The slope is:
The y-intercept is:
By using graphing tool, we get the first graph shown below.
<h3>Second.</h3>
The slope is:
The y-intercept is:
By using graphing tool, we get the second graph shown below.
<h3>Third.</h3>
The slope is:
The y-intercept is:
By using graphing tool, we get the third graph shown below.
<h3>Fourth.</h3>
The slope is:
The y-intercept is:
By using graphing tool, we get the fourth graph shown below.
<h2>Learn more:</h2>
Linear inequalities: brainly.com/question/12984296
#LearnWithBrainly
Answer:
This shows that the mean increases by 2.95
Step-by-step explanation:
Assume the given data is 2, 5, 6, 8
Mean = 2 +5+6+8/4
Mean = 21/4
Mean = 5.25
If number 20 is added, the data becomes 2, 5, 6, 8, 20
New mean = 2 +5+6+8+20/4
New mean = 41/5
New mean = 8.2
Taking the difference in the mean:
Difference = 8.2 - 5.25
Difference = 2.95
This shows that the mean increases by 2.95
<em>NB: The data used was assumed since we are not given any data in question</em>
<em></em>
To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34
To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04