Answer:
2.rational 3.integer 4.whole number
Step-by-step explanation:
The number 7 is all three of these.
That's pretty hard to show through a site like this. I recommend going to this site to learn how to construct: http://www.mathopenref.com/constorthocenter.html
The function you're given is in point-slope format, which is one of the easiest ones to graph. The basic form of the format is;
y=ax+b
Where a is the slope and b is the y-intercept.
As you can see, in y=-13+3x, the positions of a and b are switched, but it is essentially the same question.
From here we can tell that the y-intercept is -13, meaning that there is a point on the line that rests at (0,-13)
To find the other points, we can do rise-over-run using the slope of 3 given to us. What happens here is that for every 1 unit you go to the right (positive), you rise 3 units up.
For example, if we perform this on the y-intercept (0,-13):
(0+1, -13+3)
(1,-10)
With these two points, you can graph the line representing the temperature.
Answer:
Height is 135 ft
Step-by-step explanation:
Notice that wire, pole, and ground form a right angle triangle, for which we name h = height of the pole one of the legs (the horizontal leg) is h - 51. The wire (which is the hypotenuse of the right angle triangle is: h + 24.
Then we can use the Pythagorean theorem to solve for the height (h):
h^2 + (h - 51)^2 = (h + 24)^2
h^2 + h^2 -102 h + 2601 = h^2 + 48 h + 576
grouping all terms on the left of the equal sign, we get:
h^2 -150 h + 2025 = 0
This gives two possible answers:
h = 135
and
h = 15
We opt for h = 135, because the other solution will render a negative leg for the triangle.
