Answer:
x = -15 or 15
Step-by-step explanation:
We can simplify |x| - 3 = 15 to |x| = 15 because we can add 3 on both sides due to -3 being outside of the absolute value bars. Next, we can say that x is either 15 or -15 because of the absolute value (|15| is equal to 15 and |-15| is also equal to 15).
<span>f''(x) means function is of grade 1
f(x) = ax + b
f'(x) = a
f'(5) = 1 </span>⇒ a = 1
f(4) = -2
f(4) = 1×4 + b
-2 = 4 + b
b = -6
f(x) = x - 6
The Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.
<h3>What is the slope of line?</h3>
The slope of a line segment is a measure of the steepness of the line segment. It is the ratio of rise (the change in vertical height between the endpoints) over run (the change in horizontal length between the endpoints.
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line.
Midpoints of 1 line segment are -
= (2+0 / 2 , 4-2 / 2)
= (1,1)
Mid points of line 2 =
= (5+1 / 2, 1+5 / 2)
= (3,3)
slope -
The required slope = rise / run
= (y1-y2)/(x1-x2)
= (1-3)/(1-3)
= 1
Therefore, the Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.
To learn more about slope and mind-points from the given link
brainly.com/question/5792883
#SPJ4
Answer:
x=10/3 y=17/3
Step-by-step explanation:
Use substitution to solve your equation. Plug in y=2x-1 into y=1/2x+4. This makes (2x-1)=1/2x+4. Simplify this to get 3/2x-1=4. Simplify it again to get 3/2x=5. No one likes fractions so multiply both sides by 2 to get 3x=10. Simplify this and get x=10/3. Plus 10/3 into one of the equations. You can pick anyone but I picked y=2x-1. Because you know x=10/3, you put y=2(10/3)-1. Simplify this and get y=20/3-1. Convert 1 into a fraction and get y=20/3-3/3. Simplify this and get y=17/3.
Therefore,
x=10/3 y=17/3
Hoped this helps you
