Answer: He got to be elected president of the Republic of Texas.
As x increases, y increases. So this data has a positive association. The association looks to be strong, as the values all follow the trend pretty closely.
Answer=Strong Positive
Answer:
a= 5 and b=1
Step-by-step explanation:
To solve, we will follow the steps below:
2x + 3y = 7
(a-b)x + (a+b)y = 3a + b - 2
We should note that since it has infinitely many solutions then,

Hence
2/a-b = 3/a+b = 7/3a +b-2
2/a-b = 3/a+b
cross-multiply
3(a-b) = 2( a+b)
open the bracket
3a - 3b = 2a + 2b
collect like term
3a - 2a = 2b + 3b
a = 5b -------------------------------------------(1)
Similarly
3/a+b = 7/3a +b-2
cross-multiply
7(a+b) = 3(3a+b -2)
7a + 7b = 9a + 3b -6
take all the variables to the left-hand side of the equation
7a - 9a+ 7b-3b = -6
-2a + 4b = -6 ---------------------------------(2)
but a = 5b
substitute a= 5b in equation (2) and solve for b
-2(5) + 4b = -6
-10 + 4b = -6
add 10 to both-side of the equation
-10 + 10+ 4b = -6+10
4b = 4
divide both-side of the equation by 4
b = 1
substitute b= 1 in equation (1)
a = 5b
a =5(1)
a=5
Therefore, a= 5 and b=1
Answer:
1650
Step-by-step explanation:
The shape is a pyramid on top of a prism.
Volume of a pyramid is V = ⅓ Ah, where A is the area of the base and h is the height of the pyramid.
Volume of a prism is V = Ah, where A is the area of the base and h is the height of the prism.
The base of both shapes is a right triangle. The area is:
A = ½ bh
A = ½ (22) (10)
A = 110
The height of the prism is 6. The height of the pyramid is 33 − 6 = 27. The total volume is:
V = (110) (6) + ⅓ (110) (27)
V = 1650