1)
for a valid triangle two sides added together have to always be larger than the third
(otherwise it turns into a line)
12, 18, 6 would not be a valid triangle, because 12+6<=18
but 12, 18, 14 would be valid, because
12+18>14
12+14>18
18+14>12
2)lets start with an obvious right triangle and have the axis along the y and x axis like
so decide some x like -4 and some y like -3 and keep all other coordinates at 0:
A=(-4,0) B=(0,-3) and C=(0,0)
make it a bit more complicated (less 0s) by some x and y translation like (-2,3)
just add that to every point's coordinates and you get
A=(-6,3), B=(-2,0), C=(-2,3)
Answer: The correct answer is 22.31 miles to the gallon.
Step-by-step explanation: If she travels 348 miles, and used 15.6 gallons of gas, you would divide 348 by 15.6= 22.307 or 22.31 miles to the gallon.
Answer:
The equation of the line would be A) y - 8 = -2(x + 2)
Step-by-step explanation:
In order to find the equation of the line, we need to start by finding the slope. We can do that with the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-2 - 8)/(3 - -2)
m = -10/5
m = -2
Now that we have the slope at -2, we can plus in the first point into point-slope form and find the equation.
y - y1 = m(x - x1)
y - 8 = -2(x + 2)
<u>QUESTION 2</u>
Answer:
The correct answer is B) x-intercept = -4 and y-intercept = -3
Step-by-step explanation:
We can tell this because the y-intercept is the value of y when x = 0. So we put 0 into x for the equation.
3x + 4y = -12
3(0) + 4y = -14
4y = -12
y = -3
Since B is the only answer with an y-intercept at -3, we know it to be the correct answer.
Answer:
4y is your answer........