Answer: there is only one solution
Step-by-step explanation:
Combine like terms by performing the opposite operation of subtracting 4x on both sides of the equation
The 4x's will cross out on the right
4x - 4x = 0x = 0
On the left:
2x - 4x = -2x
Now the equation looks like:
-2x + 3 = 2
Continue to combine like terms by subtracting 3 on both sides of the equation
On the left:
3 - 3 = 0
On the right:
2 - 3 = -1
Equation:
-2x = -1
Isolate x by performing the opposite operation of dividing -2 on both sides of the equation
On the left:
-2x ÷ -2 = 1
On the right:
-1 ÷ -2 = 1/2
x= 1/2
To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together. Be sure than none of the simpler figures have overlapping areas
Answer:
15
Step-by-step explanation:
Answer:

Step-by-step explanation:
The equation of a circle:

<em>(h, k)</em><em> - center</em>
<em>r</em><em> - radius</em>
<em />
We have diameter endpoints.
Half the length of the diameter is the length of the radius.
The center of the diameter is the center of the circle.
The formula of a distance between two points:

Substitute the coordinates of the given points (-8, 2) and (-2, 6):

The radius:

The formula of a midpoint:

Substitute:


Finally:

Answer:
x < -14
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
Step 2: Divide both sides by -3 and flip the inequality sign.
Therefore, the answer is x < -14.