Pl me the coordinates of the vertices of triangle abc are a(-1,3), b(1,2) and c(-3,-1). determine the slope of each side of the triangle and use that information to determine if the triangle is a right triangle or not.

slope 1 = 2-3 /1- -1 = -1/2   Change in A & B

slope 2 = -1-2 / -3 -1 = 3/4    Change in B & C

slope 3 = 3 - -1 / -1 - -3 = 2     Change in A & C

 since slope 1 is a negative reciprocal of slope 3

 the triangle is a right triangle

for this case we have the following expression:

to solve, we rewrite the expression as:

we apply double c and we have:

thus, the quotient is 48.

so, patel found a wrong ratio and the multiplication was incorrect.

option d

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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