Answer:
x = 21
General Formulas and Concepts:
<u>Geometry</u>
- Corresponding Angles - Angles that are congruent to each other and occur with parallel lines
Step-by-step explanation:
<u>Step 1: Identify</u>
We see that the measures given are Corresponding Angles
<u>Step 2: Solve for </u><em><u>x</u></em>
- Set up equation: 8x - 7 = 9x - 28
- Subtract 8x on both sides: -7 = x - 28
- Add 28 on both sides: 21 = x
- Rewrite: x = 21
Answer:
127.53 liters left after 10 minutes
Step-by-step explanation:
Let


Given
--- initial
--- the amount left, after 5 minutes
Required
--- amount left after 5 minutes
To do this, we make use of:

implies that:

Divide both sides by 200

Take natural logarithm of both sides



So, we have:

Divide by 5

So, the function is:


The amount after 10 minutes is:



Short answer: 36.
This is a combination/permutation problem.
To put it simple, a die has 6 sides, there are 7 days but 1 is already determined (12 laps).
So if we multiple the options (sides on a die) × the number of days (6) we get:
6 × 6 = 36 possible outcomes.
To show this we can get
12, 13, 14, 15, 16, 17, 18
12, 13, 14, 15, 16, 17, 19
12, 13, 14, 15, 16, 17, 20
... all the way to
12, 18, 24, 30, 36, 42, 48
Answer:
My example:
1. Get the equation in the form y = ax4 + bx + c
2. Calculate -b / 4a. This is the x coordinate of the vertex
3. To find the y coordinate of the vertex, simply plug the value -b / 4a into the equation for x and solve for y.
Step-by-step explanation:
y=2x^2 -16x +30
vertex: ( 4, -2)
Focus: (4, -15/8)
Axis of symmetry: x = 4
Directrix: y = -17/8
Answer:
its always wrong
Step-by-step explanation:
any variable always has a holder of 1
so 01b doesnt equal 4