Answer:
x = 7
Step-by-step explanation:
Add 12 to both sides:
2x + 9 = 5x - 12
2x + 21 = 5x
Subtract 2x from both sides:
21 = 3x
Divide each side by 3:
7 = x
So, x = 7
Answer:
Your answer will be
y=2x-15.5
Step-by-step explanation:
Hi, there you must know the slope-intercept form which is
y=mx+b
m=slope
b=y-intercept
You can also use
the slope formula which is

in this case
it will look like this
=
=-2
So the slope is -2
Now we will find the y-intercept
-7.5=2(4)+b
-7.5=8+b Subtract 8 both sides
-15.5=b
Your y-intercept is -15.5
Hope this helps
Answer:
B. 48m²
Step-by-step explanation:
The formula for volume is length (base) times width times height, or LWH. If you break the shape into three separate areas, you can figure out the volume for each part and then add it up.
The large part on the bottom is 7m long, 2m across. Since we know the entire shape is 4m tall and the indent is 2m deep, we know that the height for the bottom part will also be 2m. <u>7 · 2 · 2 = 28.</u>
The block on the left is 2m tall, 2m across, and its width is also 2m as shown by the measurement on the bottom-right. <u>2 · 2 · 2 = 8.</u>
Finally, the block on the right is 2m tall, 3m across, with a width of 2m. <u>3 · 2 · 2 = 12.</u> And when you add it all up, <u>28 + 8 + 12 = 48.</u> Hope this helps! Feel free to ask any questions!
- Vertex form:

So firstly, put x^2 - 4x into parentheses: 
Next, we need a perfect square inside the parentheses. Divide the x coefficent by 2 then square that result. In this case, -4 ÷ 2 = -2, (-2)²= 4. Add 4 inside the parentheses and then subtract 4 outside the parentheses:

Lastly, factor what's inside the parentheses and <u>your vertex form is
</u>
Answer:
10%
Step-by-step explanation:
a simple way to put it is 50 * 2 is 100, 5 * 2 is 10, so 10/100 is 10%