The Sum of all the siblings ages are 36.
Explanation:
Your sister was half your age(3).
Your brother was twice your age(12).
It says 5 years later...
so then your sister is 8
brother is 17
your 11.
When you add all of these ages up you get the answer 36.
The ratio of each vertex coordinate on ΔA'B'C to the corresponding vertex coordinate on ΔABC is equal to 2. For example, A(1, 1) → A′(2, 2). This ratio is equal to the scale factor, n.
Answer:
The width will be 
Step-by-step explanation:
Thinking process:
Let the model be:
factoring out 4 gives:
Factorizing the expression in the parentheses gives:
Therefore, since the expression in the parentheses cannot be factorized further, the expression is:
Kate: Please, for clarity, use " ^ " to denote exponentiation: 2x^2 + x − 4 = 0
And please include the instructions.
2x^2 + x − 4 = 0 can be re-written: 2(x^2 + (1/2)x - 2) = 0
Dividing both sides by 2 results in x^2 + (1/2)x - 2 = 0
Let's "complete the square:" x^2 + (1/2)x + (1/4)^2 - (1/4)^2 = 0
Then (x+(1/4))^2 = (1/4)^2
Taking the sqrt of both sides: x+1/4 = plus or minus 1/4
Solving for x: x = -1/4 plus or minus 1/4
Solving for x (continued): x = 0 and x = -1/2
