Answer:
x= -5
Step-by-step explanation:
just use a calculator
Answer:
The required equation is:

Step-by-step explanation:
To find the equation of a line, the slope and y-intercept is required.
The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.
Given points are:

We will find the slope of given line segment first

Let m_1 be the slope of perpendicular bisector then,

Now the mid-point

We have to find equation of a line with slope -3/2 passing through (2,6)
The equation of line in slope-intercept form is given by:

Putting the value of slope

Putting the point (2,6) to find the y-intercept

The equation is:

Answer:
Devante is 23 and Savannah is 32.
Step-by-step explanation:
We can set up a system of equations.
s - savannah's age
d - devante's age
s = d + 9
s + d = 53
Now we can substitute (d + 9) for s in the second equation.
(d + 9) + d = 53
2d + 9 = 53
2d = 46
<u>d = 23</u>
To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)
23 + 9 = 32
<u>s = 32</u>
Answer:
D is the correct option.
Step-by-step explanation:
In the given table, the first column is for "hours of training" and the second column is for "Monthly pay".
Now, we have to state the meaning of the term h(40)=1820.
In coordinate system we can write this as (40,1820).
Since, the first column represents "hours of training" and second column is for "Monthly pay". Hence, we can say that for 40 hours of training the monthly payment is $1820.
In other words, if the training attended by the worker is 40 hours, h/she would pay $1820.
Therefore, D is the correct option.
Answer:
x =2 x = -1
Step-by-step explanation:
|2x - 1| + 3 = 6.
Subtract 3 from each side
|2x - 1| + 3-3 = 6-3
|2x - 1|= 3
An absolute value has two solutions, one positive and one negative
2x-1 =3 2x -1 = -3
Add 1 to all sides
2x-1+1 =3+1 2x-1+1 = -3+1
2x = 4 2x =-2
Divide by 2
2x/2 = 4/2 2x/2 = -2/2
x =2 x = -1