Answer:
(8.5, - 2 )
Step-by-step explanation:
Given the 2 equations
6x + 4y = 43 → (1)
2x - 3y = 23 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate the term in x
- 6x + 9y = - 69 → (3)
Add (1) and (3) term by term to eliminate x, that is
13y = - 26 ( divide both sides by 13 )
y = - 2
Substitute y = - 2 in either of the 2 equations and solve for x
Substituting into (1)
6x + 4(- 2) = 43
6x - 8 = 43 ( add 8 to both sides )
6x = 51 ( divide both sides by 6 )
x = 8.5
Solution is (8.5, - 2 )
Answer:
Slope = 2
Step-by-step explanation:
So to find the slope we have to put it in y = mx + b form;
2y = 4x - 8
Divide both sides by 2;
y = 2x - 4
The slope is 2
Area of semicircle: pi * r^2/2
r = 9/2 = 4.5
3.14 * 4.5^2 = 63.585/2 = 31.7925
Area of middle section:
Make it a rectangle: L * W
9 * 12 = 108
Area of bottom: L * W
6 * 9 = 54
Now add together: 31.7925 + 108 + 54 = 193.7925, round to nearest hundred
Solution: 193.79 in^2
Well, if you say nine tenths, you know tenths is the first number after the decimal point. So you would put nine in the tenths spot.
Line S.
A common internal tangent means that the lines joining the centre touches the tangent. As shown in the diagram, AB, two radii joined together touch the tangent. Hence, it is deemed as a common internal tangent.
However, line S is a common tangent, but lies outside of the centre of the circles, meaning that it is a common external tangent.
