9514 1404 393
Answer:
Step-by-step explanation:
The slope of a line is the tangent of the angle it makes with the x-axis. The given line has a slope of -1/3, so the lines we want will have slopes of ...
m1 = tan(arctan(-1/3) +45°) = 0.5 . . . . . using a calculator
m2 = tan(arctan(-1/3) -45°) = -2
Of course, these two lines are perpendicular to each other, so their slopes will have a product of -1: (0.5)(-2) = -1.
__
We can use the point-slope form of the equation for a line to write the desired equations:
y = m(x -h) +k . . . . . line with slope m through point (h, k)
<u>Line 1</u>:
y = 1/2(x -2) +3
y = 1/2x +2
<u>Line 2</u>:
y = -2(x -2) +3
y = -2x +7
Answer:
Independent variable- subway cost
dependent variable- nias money ($19.50)
Step-by-step explanation:
The 2 outside the brackets means that everything within the brackets needs to be multiplied by 2
Answer:
47.25 ft³
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh . . . . . . . B is the area of the base, h is the height.
The height of the prism is given as 6 ft. The area of the base is the area of the triangular entrance. The formula for that area is ...
A = 1/2bh . . . . . . b is the base, h is the height
Using the given values for the entrance base and height, we get ...
A = 1/2(4.5 ft)(3.5 ft) = 7.875 ft²
Then the volume of the tent is ...
V = (7.875 ft²)(6 ft) = 47.25 ft³
The tent volume is 47.25 cubic feet.
Answer: 49
Step-by-step explanation:
From your question, I think you mean the largest number. The answer is given below.
Let the five consecutive odd numbers be:
a, a+2, a+4, a+6 and a+8.
Thee sum of the first and double the last is 139. This can be written as:
a + 2(a+8) = 139
a + 2a + 16 = 139
3a + 16 = 139
3a = 139 - 16
3a = 123
a = 123/3
a = 41
The first number = 41
The largest number = a+8 = 41 + 8 = 49.
