Answer:
The number of feet she will travel back is 1 or 7 feet
Step-by-step explanation:
Here, we need to solve the quadratic equation
That will be as follows;
0 = x^2 -8x + 7
x^2-x-7x+ 7 = 0
x(x-1)-7(x-1) = 0
(x-1)(x-7) = 0
x = 1 or 7
The number of feet she will travel before coming back to the surface of the water is 1 or 7 feet
T=21+4.5X
21 is the original temp.
4.5 is the constant rate I got when I subtracted 75-21=54 then divided 54/12min=4.5.
75 =21 + 4.5(12)
11. y = -23x - 21
You can get this by starting with y = mx + b (slope intercept form). Then put in all the knowns and solve for the b.
2 = -23(-1) + b
2 = 23 + b
-21 = b
Then add that to the end of the equation with m = -23
12. -5
The y-intercept of an equation is always the number added on at the end of an equation. It is also the number with no x attached to it.
13. 8x^9y^6
When you use the law of exponents, you need to make sure the exponent goes to each individual term. When we cube the 2, it becomes 8. When you cube x^3, you get x^3*x^3*x^3 or x^9. And with y^2 you get y^6
Remark
All you need is 2 points to get the line of the equation. One is itself (B and B') is the same in both triangles. Now we need to find one more point. Since this is a reflection, the midpoint between C and C' is the second point. That choice of C and C' is completely arbitrary.
Step One
y intercept of the line. That point is B which is (0,1)
Step Two
Find the midpoint between C and C'
C is (-4,-2) and C' is ( 0 , - 4) The midpoint is
C" = (x2 + x1)/2 , (y2 + y1)/2
C" = (-4 + 0 )/2 , (-2 + - 4) / 2
C" = (-4)/2 , - 6/2
C" = (-2, - 3) C" is the midpoint between C and C'
Step 3
Find the equation of the line.
y = ax + b We are trying to find A
y = ax + 1
-3 = a(-2) + 1
-3 - 1 = a(-2)
- 4 = a(-2) Divide by -2
-4/-2 = a
a = 2
The slope of the line is 2
Answer
y = 2x + 1
I dont know i will tell you when i find out