A rectangular pool is 18 meters wide and 24 meters long. If you swim diagonally across the pool, how many meters would you be sw
1 answer:
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Answer:
cubic inches
Step-by-step explanation:
Given:
The base of each pyramid is a square with a side length of 5 inches
Height of of pyramid is 9 inches.
To find: volume of the pyramid
Solution:
As the base of each pyramid is a square with a side length of 5 inches,
length of the pyramid (l) = base of the pyramid (b) = 5 inches
Height of of pyramid (h) = 9 inches
Volume of the pyramid
On putting values of l, b and h, we get
cubic inches
Answer:
(-1, -1)
Step-by-step explanation:
To solve a system of equations by graphing, first graph the lines. Then, find where the two lines hit each other. This is called the "point of intersection", which is the solution. Mark this point's coordinates as an ordered pair (x, y) for your answer.
The equations are in slope-intercept form y = mx + b.
"x" and "y" are points on the line.
"m" is the slope, which equals to .
"b" is the y-intercept, where a line hits the y-axis.
For y = 4x + 3 (blue):
b = 3. This first point is at "3", on the y-axis. Draw a dot there. Use the slope to get another point.
m = 4. Write it as a fraction to get the rise and run values.
From your first point, "rise" (go up) 4 squares, and "run" (go right) 1 squares. Put a dot here too.
Now, you can <u>connect the two points</u> to form a straight line. Remember to put arrows at the ends of the line.
For y = -x - 2 (red):
b = -2. This first point is at "-2", on the y-axis. Put a dot here.
Let's find the next point using the slope.
m = -1. Write it as a fraction to get the rise and run values.
From your first point, "rise" -1 squares. This means to go down 1 square because the fraction is negative. "Run" (go right, same as before) 1 square. Draw your second point here.
Now, you can <u>connect the two points</u> to form a straight line. Remember to put arrows on the line again.
Extend the lines (keep making them longer) until they hit each other. Where they meet is the solution of the system.
The solution is (-1, -1).
Answer:
x = 45
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x/3-(15)=0
Step 1 : <u>Simplify</u>
Equation at the end of step 1 :
- 15 = 0
Step 2 :
<u>Rewriting the whole as an Equivalent Fraction :</u>
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
<u>Equivalent fraction :</u> The fraction thus generated looks different but has the same value as the whole
<u>Common denominator : </u>The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
Equation at the end of step 2 :
Step 3 :
When a fraction equals zero :
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x-45 = 0
Solving a Single Variable Equation :
<u>Solve :</u> x-45 = 0
Add 45 to both sides of the equation :
x = 45
One solution was found :
x = 45