One of the properties of triangle is the opposite of the largest angle is the longest leg and the smallest angle is opposite the shortest leg.
Given the three sides of the triangle with its corresponding angle, we have:
(2m+3) = m∠X
(m-3) = m∠Y
(m+8) = m∠Z
assign value for m; let m = 6
2(6)+3 = 15 = m∠X
6 - 3 = 3 = m∠Y
6 + 8 = 14 = m∠Z
As the sides correspond to its angle, therefore, the largest angle is m∠X and the smallest is m∠Y
The correct one is m∠Y < m∠Z < m∠X
1. 51
2. 10
3. 14
4. 7
5. 13
6. 6
7. 4
8. 22
9. 29
10. 36
You just have to cross multiply and then divide it by 100
Answer:
(x-1)(x-2)(x+3)
Step-by-step explanation:
x³ - 7x + 6
= (x³ - x) - ( 6x - 6)
= x(x²-1) - 6(x-1)
= x(x+1)(x-1) - 6(x-1)
= (x-1)(x²+x-6)
= (x-1)(x-2)(x+3)
9514 1404 393
Answer:
Step-by-step explanation:
The line representing Murphy street goes through point (0, 3) and has a slope of 2/1 = 2. Its equation is then ...
y = mx + b
y = 2x +3
The translation vector transforms this equation* by adding -1 to y, and replacing x with x-1.
y = (2(x-1)) +3) -1
y = 2x -2 +3 -1 . . . . eliminate parentheses
y = 2x . . . . . . . . . . . the equation for Nolan street
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Of course, adding (1, -1) to the point (0, 3) moves it to ...
(1, -1) +(0, 3) = (0+1, -1+3) = (1, 2)
The image of (0, 3) is (1, 2).
_____
* f(x) is translated by (a, b) this way: g(x) = f(x-a) +b. Here, f(x) = 2x+3 is translated to f(x-1)+(-1) = (2(x-1) +3) -1.
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