Answer:
x = 4
Step-by-step explanation:
First u need to distribute the -1 to (x + 4), creating the equation, -8 = -x - 4. Then add the -4 to both sides, and you get, -4 = -x. Then divide by -1 to both sides, and x = 4.
After 2.0 years, the 4.0 mg sample decays to 2.0 mg.
After another 2.0 years (total 4.0 years), the 2.0 mg sample decays to 1.0 mg.
And after another 2.0 years (total 6.0 years), the 1.0 mg sample decays to 0.50 mg.
So it takes 6.0 years for 4.0 mg to decay to 0.50 mg.
Answer:
√3
Step-by-step explanation:
√12=2√3
-2√3+3√3 = √3
Use calculator to estimate if necessary: 1.7320508075688773
Answer:
C. 75°
Step-by-step explanation:
We have been given a circle and we are asked to find the measure of angle AEC.
We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.



Therefore, measure of angle AEC is 75 degrees and option C is the correct choice.
Answer:
y=2x-2
Step-by-step explanation:
Slope intercept form = y=mx+b
Where m=slope and b= y intercept
Reminder: the y intercept is where x=0
Looking at the graph, the y intercept is given as (0,-2)
There are also two points given (0, -2) and (2,2)
Reminder: to find the slope, divide the changes in y by the changes in x or substitute the numbers into this equation: y2-y1/x2-x1
2-(-2)/2-0=4/2
m=2
Now that we have the slope and y intercept, sbstitute into the equation y=mx+b:
y=2x-2