Answer:
(-2, 3)
Step-by-step explanation:
Given the system of equations:
-3x + 2y = 12
x = 2y - 8
You can 'substitute' the expression '2y - 8' for the value of 'x' in the first equation and solve for 'y':
-3(2y - 8) + 2y = 12
Distribute: -6y + 24 + 2y = 12
Combine like terms: -4y + 24 = 12
Subtract 24 from both sides: -4y + 24 - 24 = 12 - 24 or -4y = -12
Divide both sides by -4: -4y/-4 = -12/-4 or y = 3
Use y = 3 to solve for 'x':
x = 2(3) - 8 or 6 - 8
x = -2
(-2, 3)
Answer:
<u>Recursive:</u>
<u>Explicit:</u>
Explanation:
<u>1. Sequence:</u>
<u>2. Recursive formula</u>
The recursive formula permits to calculate the value of the nth term in the sequence using the (n-1)th term in the sequence.
<u>3. Explicit formula</u>
The explicit formula permits to calculate any value of a term in the sequence:
Answer:
16.9 m
Step-by-step explanation:
Start with a half a circle. The central angle of a semicircle is 180 deg.
Now subtract 21 deg on each side.
180 - 21 - 21 = 138
The central angle is 138 deg.
The radius is 7 m.
Now we use the formula for the length of an arc of a circle given the radius of the circle and the central angle of the arc.
Answer:
Step-by-step explanation:
Given the regression equation :
y=2+3x
Mean of y values ; y = 5.0
Where y is the predicted variable ; x = predictor variable
The predicted value of y for X = 2
Null: H0 = 5
Alternative H1 : ≠ 5
Sample size (n) = 10 pairs
Degree of freedom = n - 2 = 10 - 2 = 8
Answer:10 m
Step-by-step explanation:
Given
Scaling ratio 1:1000
i.e. one unit in map is equal to 1000 unit in actual distance
therefore if the distance between two points is 1 cm in map then
it is 1000 cm in reality