Answer:
y = 4x - 15
Step-by-step explanation:
Find slope (m) using of the line that passes through (7, 13) and (4, 1).
Find y-intercept (b) by substituting x = 4, y = 1, and m = 4 in y = mx + b.
Thus:
1 = (4)(4) + b
1 = 16 + b
Subtract 16 from each side
-15 = b
b = -15
substitute m = 4, and b = -15 in y = mx + b, to get the equation.
The equation of the line would be:
✅ y = 4x + (-15)
y = 4x - 15
To answer this, we need to know the formula of the relationship between the work and the power rating and time.
The formula is:
E(J)<span> = </span>P(W) ×<span> t</span><span>(s)
</span>360000 = 200 * t
t = 360000 / 200
t = 1800 s
So, Emily will spend 1800 seconds in vacuuming. It is also equivalent to 30 minutes.
Answer:
The height of Mrs. Marigold's roof is 10 feet.
Step-by-step explanation:
Given that,
Base of the given triangle = 48 ft
Hypotenuse = 26 ft
Half of the base = 24 ft
Using Pythagoras theorem,
So, the height of Mrs. Marigold's roof is 10 feet.
The given numbers are a set of points. To convert this into a linear data set, you can do data fitting. The easiest way to do this is using a software. In this case, I used MS Excel. You plot the points and set a linear trendline. The linear equation for this set of data is: y = 0.286x + 0.784
You can refer to the image to further understand the procedure.
Answer:
x=4
Step-by-step explanation:
1. 7x+56=14x+28 using distributive property (with the number of stes you need to have, this may count as 2)
2. 56=7x+28 by subtracting 7x from each side
3. 28=7x by subtracting 28 from both sides
4. x=4 by dividng by 7
5. plug back into equation
7(4)+56=14(4+2)
28+56=14(6)
84=84
