Answer: 2 locations.
Step-by-step explanation:
This segment will be the hypotenuse, now, if we find the exact middle of this segment and we draw a line that cuts perpendicularly the segment by the middle, then we can put a point in any point of that line (except in the segment because this will make a degenerate triangle). Then we connect both extremes of the segment with that point, and for how we find it, we know that these new lines will have the same lenght, so this will be an isosceles triangle.
Now, if we want that the triangle is also a right triangle, then the angle between the new sides must be 90°, if we put the point near the segment, the angle will be larger than 90°, and if we put it really far away, the angle will be smaller than 90°. So for each side of this line, we have only one point where the angle is exactly 90°.
this means that we have 2 locations that can create a non-degenerate isosceles right triangle.
Answer:
(0,-2)
Step-by-step explanation:
plot the point and reflect it over the x axis
Answer: (2, 1)
_____
It is, of course, much easier to let a graphing utility do the work.
Answer:
Step-by-step explanation:
answer: y = -5 + 19
We can use the point-slope formula to find an equation to solve this problem. The point-slope formula states: (y−y1)=m(x−x1)
Where m is the slope and (x1y1) is a point the line passes through.
Susbtituting the slope and values from the point from the problem gives:
(y−−1)=−5(x−4)
(y+1)=−5(x−4)
We can also solve this for the slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
Substitute the slope from the problem for m and the values of the point from the problem for x and y and solve for b:
−1=(−5⋅4)+b
−1=−20+b
20−1=20−20+b
19=0+b
19=b
We can substitute for m and b in the formula to find the equation:
y=−5x+19
The question is incomplete. The complete question is as follows.
Juan, Carlos and Maria went to the museum. The entrance ticket cost $5 per person, but, as they are students, there is a discount of $1 per ticket. After, they bought: 3 combos of chicken and fries costing $4 each; 3 bottles of water costing $1 each; 3 vanilla cookies costing $1 each; How much money each student paid if they divided the costs in equal amount?
Answer: $10
Step-by-step explanation: As each students split the bill in equal parts, to find how much they spent, we can calculate how much one of the three spent.
For ticket: 5 - 1 (because of the students discount) = $4
Each combo of chicken and fries cost $4, so: combo = $4
Each bottle of water costs $1, so: water = $1
and each vanilla cookie costs $1: cookie = $1
Total spent is:
T = 4+4+1+1
T = 10
Each student spent a total of $10 for this outing.
