Answer:
x = 5
Step-by-step explanation:
Using the fact that line segments AB and BC are parts of the whole line segment AC, we can write the following equation:
AB + BC = AC
Now, using the given values, we can substitute in for the equation and solve for x:
AB + BC = AC
9 + 2x - 5 = x + 9
2x + 4 = x + 9
x = 5
Thus, we have found that for these sets of equations for these line segments, our value for x should be 5.
Cheers.
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.
He will need 16/3 cups of soil. Simplified that’s 5 and 1/3 cups of soil. I’m not sure if my answers right but yeah lol.
The image of the function when translated up is f'(x) = 3x + 5
<h3>How to translate the function up?</h3>
The function is given as:
f(x) = 3x
The rule of the function of a translation of 5 units up is represented as;
f'(x) = f(x) + 5
So, we have:
f'(x) = 3x + 5
Hence, the image of the function when translated up is f'(x) = 3x + 5
Read more about translation at:
brainly.com/question/4289712
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Answer:
3.51359276e83
Step-by-step explanation:
3.51359276e83
