ANSWER
8 units.
EXPLANATION
The first point, A is located at (-9,2) on the coordinate plane.
The second point, B is also located at (-9,10) on the coordinate plane.
You should be smart and observe that the x-coordinates of both points are the same. This means that, the two points lies on a vertical line.
Hence it will be faster to use the absolute value method rather than the distance formula.
According to this method, you only have to find the absolute value of the difference in the y-values.
First attatchment:
1. Given
2. Definition of a parrallelogram
3. Transitive
4. Parts of line FE and AB
5. Opposite sides of a parallelogram are parallel.
You want to switch those last two because you're using what you want to prove to prove something before you've proved it, which is fallacious.
SECOND ATTATCHMENT:
In a parallelogram, opposite angles are equal and same side interior angles add up to 180.We have 2x+60+x+30=180 which means 3x+90=180 so x=30.Since x is 30 then angle to is 60 which means that angle A is 60, not 30.
THIRD ATTATCHMENT:
This is just the triangle midpoint theorem. SM is parallel to RU not VS.
FOURTH ATTATCHMENT:
Angle X and angle F are corresponding angles, so they are actually equal. You want Angle G and Angle F becuase they are same side interior angles.
FIFTH ATTATCHMENT:
this is correct
Given the equation 4(3b + 2)² = 64,
dividing both sides of the equation by 4, we have
(3b + 2)² = 16 and getting the square root of both sides,
(3b + 2) = 4 and (3b + 2) = -4
We can solve for b for each equation and have
3b = 2 | 3b = -6
b = 2/3 | b = -2
Therefore, the values of b are 2/3 and -2 and from the choices, the answer is <span>A: b = 2/3 and b = -2.</span>
Answer:
3x +4 = -2x -1
Step-by-step explanation:
The line that goes up to the right has a y-intercept of +4. This is where it crosses the y-axis. It's slope (rise/run) is 3/1 = 3, so its equation in slope-intercept form is ...
y = mx +b . . . . where m is the slope, b is the y-intercept
<u>y = 3x +4</u>
The other line has a negative slope and a y-intercept of -1. The slope of that line is rise/run = -2/1 = -2, so its equation is ...
<u>y = -2x -1</u>
__
The solution point will have the x-coordinate that is the solution of the equation ...
y = y
3x +4 = -2x -1 . . . . . . substituting the above expressions for y.
Answer:
-3n-6
Step-by-step explanation:
multiply each term by 3
-3(n+2)
-3n-3*2
-3n-6
