Answer:
Step-by-step explanation:
Add the square of half the x-coefficient to both sides.
x² -12x +(-6)² = 61 +(-6)²
<h2> x² -12x +36 = 97</h2><h2 />
Answer:
y= -2x+18
Step-by-step explanation:
1. The secant line is a line that passes through 2 points in the function.
2. Determine the y values for x=-6 and x=3 by plugging the x values into the x^2 + x function. This yields 30 for x=-6 and 12 for x=3.
3. Find the slope by calculating the rise over the run, represented by the equation (y2 - y1)/(x2-x1). Plugging in the numbers we get (12-30) divided by (3 -(-6)). This gives you a slope equation of -18/9 (subtracting a negative yields a positive), which simplifies to -2.
4. Now that you have your slope m, apply it backwards from x=3 (x=2 yields 14 for y, 1 yields 16, 0 yields 18). Once you arrive at x=0, the y value is your y-intercept.
5. Put the y-intercept b into the equation y= mx+b, and you come out with y= -2x + 18!
The sum of the angles equal 180 degrees, so we plug the angle values into an equation:
3a + 2a - 25 = 180.
By combining like terms, this becomes:
5a - 25 = 180
Now, if we add 25 to both sides to isolate a, we get:
5a = 205
Finally, we need to divide both sides by 5 to find a, and we get:
a = 41
Yay! Now we have a. Now we just plug them into the original values! So:
2(41) - 25
Multiply out:
82 - 25
The first angle is equal to 57.
Then we use the second angle:
3(41)
Multiply out:
123
The second angle is equal to 123.
Hope this helps!
~Chrys
Answer:
-70.075
Step-by-step explanation:
it's answer hope it helps you
Answer:
$3.38
Step-by-step explanation:
The formula is 45= 8x + 4t. Each tube of toothpaste is 4.50, so times four is 18. So they spent 18 dollars on toothpaste, and the rest on toothbrushes. There are 27 dollars left, and 8 toothbrushes, so divide and each toothbrush is $3.375, or $3.38
