Answer:
x: 4metres
y: 8metres
Step-by-step explanation:
using scale 1:4
x:16 ÷ 4
y: 2×4
Answer:
C) 6 feet
Step-by-step explanation:
The diagram is shown in the attachment.
Using the Pythagoras Theorem,
We take positive square root to obtain
x=5.66ft
Rounding to the nearest feet we have x=6ft
Answer:
a) Just add 1 square on the right and 1 square on top for figure 4. Add 1 more in each place for figure 5.
b) Each stage adds a square above and a square to the right. The pattern never decreases. This trend is shown by figures 1, 2, and 3.
c) Figure 0 would be a single square. Simply follow the pattern in reverse. As the figure number decreases, squares are removed from the right and the top rather than added.
Answer:
t = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define equation</u>
t + t + t = 12
<u>Step 2: Solve for </u><em><u>t</u></em>
- Combine like terms (t): 3t = 12
- Divide 3 on both sides: t = 4
<u>Step 3: Check</u>
<em>Plug in t into the original equation to verify it's a solution.</em>
- Substitute in <em>t</em>: 4 + 4 + 4 = 12
- Add: 8 + 4 = 12
- Add: 12 = 12
Here we see that 12 does indeed equal 12.
∴ t = 4 is a solution of the equation.
You are to graph <span>y = |1.6x – 2| – 3.2. I trust you know that the graph of y=|x| is v-shaped, opening up, with vertex at (0,0).
Let's rewrite </span><span>y = |1.6x – 2| – 3.2 by factoring 1.6 out of |1.6x - 2|:
</span><span>y = 1.6*|x – 2/1.6| – 3.2
This tells us that the vertex of </span><span>y = |1.6x – 2| – 3.2 is at (2/1.6, -3.2). If you need an explanation of why this is, please ask.
Plot the vertex at (1.25, -3.2).
Find the y-intercept: Let x = 0 in </span><span>y = |1.6x – 2| – 3.2 and find y:
y = 2-3.2 = -1.2
The y-intercept is located at 0, -1.2)
Plot this y-intercept.
Now draw a straight line from the vertex to this y-intercept. Reflect that line across the y-axis to obtain the other half of the graph.</span>