Answer:
y + 4 = 4/3(x - 6).
Step-by-step explanation:
The point-slope formula is shown below. We just need to find the slope.
(-4 - (-8)) / (6 - 3) = (-4 + 8) / 3 = 4 / 3
m = 4/3, y1 = -4, and x1 = 6.
y - (-4) = 4/3(x - 6)
y + 4 = 4/3(x - 6).
Hope this helps!
Answer:
6. 4.8m
7. a. 48 b. 31.4 c. 170
Step-by-step explanation:
6. 4.5^2 x 1.6^2 = c^2
22.81 = c^2
square root of 22.81 = 4.8
7.
a. 12^2 x 16^2 = c^2
400 = c^2
square root of 400 is 20, 20 + 12 + 16 = 48
b. 9^2 x b^2 = 13^2
88 = b^2
square root of 88 is 9.4, 9.4 + 9 + 13 = 31.4
c. 25^2 x b^2 = 65^2
3600 = c^2
square root of 3600 is 60, 60 + 60 + 25 + 25 = 170
3. -17 * 3 = -51
6. 117/ -1 = -117
9. 63/ -21 = -3
12. (-3) * {7 * -2)} = -3 * -14 = 42
15. -15 * -3/ -9 = -45/-9 = 5
Hope this helps
<h2>
Hello!</h2>
The answer is:
The correct option is the first option:

<h2>
Why?</h2>
To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.
We must remember that the slope-interception form of the lines is:

Where,
y, is the function
m, is the slope of the line
x, is the variable
b, is the y-axis intercept
We can find the slope using the following formula:

Which is for this case:

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

We can find the value of "b" seeing where the line intercepts the y-axis.
As we can see it intercept the y-axis at: 
Then, now that we already know the value of "m" and "b", we can write the equation of the line:

So, the correct option is the first option:

Have a nice day!
Answer:
2 meters
Step-by-step explanation:
The formula for finding the volume of a triangular prism is:
V = 1/2ba * h where b = base length, a = height of base and h = height of prism. In this case, we're solving for a. We know that V = 4.5, b = 1.5 and h = 3 so:
4.5 = 1/2 * 1.5 * a * 3
4.5 = 2.25a
a = 2 meters