Answer:
x ≈ 5.89
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra II</u>
- Exponential to Logarithmic:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
0.77 = log(x)
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Equality Property] Raise both sides to the 10th power:

- Simplify:

- Evaluate:

So what you would want to do is plot the points in a graph, when you do so you line the points and it will give you a triangle.
So in conclusion it should be, a.) Isosceles
Answer:
22
Step-by-step explanation:
Let X be the time for only a small drain, the work completed would be unity.
The small drain has been open for a total of 11 hours, one hour next to the large one, and 10 hours alone.
We have that large drainage can accomplish this in 2 hours.
We have the following system:
1/2 + 11 / x = 1
solving, we have:
11 / x = 1 - 1/2
11 / x = 1/2
x = 11 * 2
x = 22
I mean it would take a total of 22 hours for the small drain alone
Answer:
D.
Step-by-step explanation:
Just did it. hope it helps!
Answer:
Step-by-step explanation:
A line that is perpendicular to a reference line will have a slope that is the negative inverse of the reference line.
In this case, the reference line is y = -x - 1. It has a slope of -1. The negative inverse of this would be -(1/-1) = 1.
We can then write:
y = mx + b
y = 1x + b
To find b, enter the one given point that lines on the line, (-4,2).
y = 1x + b
y = 1x + b for (-4,2)
2 = 1(-4) + b
b = 6
The equation becomes y = x + 6
See attached.