Answer: A, -2 and 4
Step-by-step explanation: cause it it you’re welcome
The answer is by using the measuring tape
Answer:
y=1/2x+6
Step-by-step explanation:
Lines that are parallel will have the same slope, so the slope will remain 1/2. However, the y-intercepts can't be the same because then they will overlap each other instead. So we must solve for the missing y-intercept in this case:
y = 1/2x + b
4 = 1/2(-4) + b
4 = -2 + b
6 = b
b = 6
Since the y-intercept is b=6, then the equation of the line that passes through the point (-4,4) and is parallel to the line y=1/2x-4 is y=1/2x+6
Well, here is how i would do it.
We start with 225, at a rate of 15% per year. Assuming your answers are in years and not months, we will increase by this increment; years.
So, we start with 225, and a 15%, or .15, increase. So what we would do, it take 225 times .15. One way ive learned to do this (via algebra class) is that you can times it by 1.15 to make it quicker, this just takes out the adding step.
So after one year, we would have a total of 258.75, or about 259 wolves.
after two years, we would have about 298 (we cant have a half of a wolf!)
after 3 years, we would have about 343 wolves.
after 4 years, we would have about 394 ish
after 5 years, we would have about 453
after 6 years, we would have about 521.
So, it would take about 5 and a half years, if thats an option choice.
High school math tip: learn how to apply the ratios 1:1:√2 for the 45/45/90 right triangle and 1:√3:2 for the 30/60/90 triangle; these two triangles probably constitute 90% of the examples and problems you'll see.
He we have half a square, the 45/45/90 isosceles right triangle, sides in ratio 1:1:√2. We write that ratio for our sides and solve.
1:1:√2 = (3/2)√2 : y : x
Ratios are pretty much like fractions, and we can make fraction equations out of corresponding pairs:
1/1 = ( (3/2)√2 ) / y
y = (3/2)√2
1 /√2 = (3/2)√2 / x
x = (3/2)√2 × √2 = (3/2)(2) = 3
Answer: y = (3/2)√2, x = 3
It's not too hard to get fast at these and just say y=(3/2)√2 because it's an isosceles triangle and x = y×√2 = 3 for the hypotenise.
