Answer:
C
Step-by-step explanation:
We want a line of best fit, which means we want to create a line that the data points will lie closest to.
One thing we can do is find the slope between the bottom-leftmost point and the top-rightmost point. This is because if we were to draw a line connecting these two, it will cut through the data quite well.
Those two points are (9, 15) and (16, 18), so the slope is change in y divided by the change in x:
(18 - 15) ÷ (16 - 9) = 3 ÷ 7 ≈ 0.4
Eliminate A and B.
Now we need to determine the y-intercept. This needs no calculations; simply look at the graph: there's no way a line cutting through the y-intercept point of (0, 18) will perfectly match the data points; instead it must be a y-intercept lower than 18. So, eliminate D.
The answer is C.
Answer:
The area should be 170
Step-by-step explanation:
L× W =70×10=170
Answer:
Step-by-step explanation:
we know that
The circumference of a circle is equal to
In this problem we have
substitute
Remember that
subtends the arc length of the complete circle
so
by proportion
Find the measure of the central angle for an arc length of 
Answer:
24/25
Step-by-step explanation:
Step 1: Define systems of equation
10x - 16y = 12
5x - 3y = 4
Step 2: Rewrite one of the equations
5x = 4 + 3y
x = 4/5 + 3y/5
Step 3: Solve for <em>y</em> using Substitution
- Substitute 2nd rewritten equation into 1: 10(4/5 + 3y/5) - 16y = 12
- Distribute the 10 to both terms: 40/5 + 30y/5 - 16y = 12
- Simplify the fractions down: 8 + 6y - 16y = 12
- Combine like terms (y): 8 - 10y = 12
- Subtract 8 on both sides: -10y = 4
- Divide both sides by -10: y = 4/-10
- Simply the fraction down: y = -2/5
Step 4: Substitute <em>y</em> back into an original equation to solve for <em>x</em>
- Substitute: 5x - 3(-2/5) = 4
- Multiply: 5x + 6/5 = 4
- Subtract 6/5 on both sides: 5x = 14/5
- Divide both sides by 5: x = 14/25
Step 5: Check to see if solution set (14/25, -2/5) is a solution.
- Substitute into an original equation: 10(14/25) - 16(-2/5) = 12
- Multiply each term: 28/5 + 32/5 = 12
- Add: 12 = 12
Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.
Step 6: Find <em>x</em> <em>- y</em>
x = 14/25
y = -2/5
- Substitute: 14/25 - (-2/5)
- Simplify (change signs): 14/25 + 2/5
- Add: 24/25
Hope this helped! :)
