Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Solve for </u><em><u>x</u></em>
- Factor:
- [Division Property of Equality] Divide a + b on both sides:
Answer:
12 =x
20.78460969=y
Step-by-step explanation:
sin theta = opposite side / hypotenuse
sin 60 = y /24
Multiply each side by 24
24 sin 60 = y/24*24
24 sin 60 =y
20.78460969=y
cos theta = adjacent side / hypotenuse
cos 60 = x /24
Multiply each side by 24
24*cos 60 = x/24*24
24 cos 60=x
12 =x
Volume=(4/3)pir^3
volume=288pi
288pi=(4/3)pir^3
divid eobht sides by pi
288=(4/3)r^3
multiply both sides by 3/4 to clear fraction (4/3 times 3/4=12/12=1)
216=r^3
cube root both sides
6=r
surface area=4pir^2
surface area=4pi6^2
surface area=4pi36
surface area=144pi in^2
Answer:
She type <u>75 words</u> in 1 minute.
Step-by-step explanation:
Given:
Lolo typed 1,125 words in 15 minutes.
Let w represent the number of words typed each minute.
Now, to find the number of words she type in 1 minute if Lolo typed the same number of words each minute.
So, we solve it by using cross multiplication method:
<u><em>As 1125 words is equivalent to 15 minutes.</em></u>
<u><em>Thus, w number of words equivalent to 1 minutes</em></u>.
By cross multiplying we get:
⇒ 
<em>Dividing both sides by 15 we get:</em>
⇒ 
⇒ 
Therefore, she type 75 words in 1 minute.
The slope of the first equation is -2, you can see it right off.
the slope of the second equation is 2, notice both are in slope-intercept form.
both equations are the equations of a line, so is really just two lines.
because their slope differs, they're not parallel or equivalent, therefore, they lines do meet at some point, and one point only, and therefore, they have 1 solution only.
a system of equations with at least 1 solution, is a consistent system.
a consistent system with exactly 1 solution only, is not just consistent, but also independent.
